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Dynamics of a Stochastic Delayed Predator-Prey System with Beddington-DeAngelis Functional Response
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作者 Mengwei Li Yuanfu Shao Yafei Yang 《International Journal of Modern Nonlinear Theory and Application》 2019年第4期93-105,共13页
This paper is concerned with a stochastic predator-prey system with Beddington-DeAngelis functional response and time delay. Firstly, we show that this system has a unique positive solution as this is essential in any... This paper is concerned with a stochastic predator-prey system with Beddington-DeAngelis functional response and time delay. Firstly, we show that this system has a unique positive solution as this is essential in any population dynamics model. Secondly, the validity of the stochastic system is guaranteed by stochastic ultimate boundedness of the analyzed solution. Finally, by constructing suitable Lyapunov functions, the asymptotic moment estimation of the solution was given. These properties of the solution can provide theoretical support for biological resource management. 展开更多
关键词 beddington-deangelis response STOCHASTIC Perturbation STOCHASTIC ULTIMATE BOUNDEDNESS ASYMPTOTIC Moment Estimation
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Bifurcation and Turing Pattern Formation in a Diffusion Modified Leslie-Gower Predator-Prey Model with Crowley-Martin Functional Response
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作者 Dong Wang Yani Ma 《Journal of Applied Mathematics and Physics》 2024年第6期2190-2211,共22页
In this paper, we study a modified Leslie-Gower predator-prey model with Smith growth subject to homogeneous Neumann boundary condition, in which the functional response is the Crowley-Martin functional response term.... In this paper, we study a modified Leslie-Gower predator-prey model with Smith growth subject to homogeneous Neumann boundary condition, in which the functional response is the Crowley-Martin functional response term. Firstly, for ODE model, the local stability of equilibrium point is given. And by using bifurcation theory and selecting suitable bifurcation parameters, we find many kinds of bifurcation phenomena, including Transcritical bifurcation and Hopf bifurcation. For the reaction-diffusion model, we find that Turing instability occurs. Besides, it is proved that Hopf bifurcation exists in the model. Finally, numerical simulations are presented to verify and illustrate the theoretical results. 展开更多
关键词 Modified Leslie-Gower Model Crowley-Martin function response Hopf Bifurcation Transcritical Bifurcation Turing Instability
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Dynamical behaviors of a diffusive predator-prey system with Beddington-DeAngelis functional response 被引量:1
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作者 Han Er-Dong Guo Peng 《International Journal of Biomathematics》 2014年第3期163-182,共20页
In this paper, we present a diffusive predator prey system with Beddington-DeAngelis funetionM response, where the prey species can disperse between the two patches, and there is competition between the two predators.... In this paper, we present a diffusive predator prey system with Beddington-DeAngelis funetionM response, where the prey species can disperse between the two patches, and there is competition between the two predators. Sufficient conditions for the permanence and extinction of system are established based on the upper and lower solution meth- ods and comparison theory of differential equation. Furthermore, the global asymptotic stability of positive solutions is obtained by constructing a suitable Lyapunov function. By using the continuation theorem in coincidence degree theory, we show the periodicity of positive solutions. Finally, we illustrate global asymptotic stability of the model by a simulation figure. 展开更多
关键词 beddington-deangelis functional response DIFFUSION PERMANENCE extinc-tion periodic solution asymptotic stability.
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Dynamical behaviors of a diffusive predator-prey model with Beddington-DeAngelis functional response and disease in the prey 被引量:1
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作者 WenshengYang 《International Journal of Biomathematics》 2017年第8期283-313,共31页
The dynamical behaviors of a diffusive predator-prey model with Beddington-DeAngelis functional response and disease in the prey is considered in this work. By applying the comparison principle, linearized method, Lya... The dynamical behaviors of a diffusive predator-prey model with Beddington-DeAngelis functional response and disease in the prey is considered in this work. By applying the comparison principle, linearized method, Lyapunov function and iterative method, we are able to achieve sufficient conditions of the permanence, the local stability and global stability of the boundary equilibria and the positive equilibrium, respectively. Our result complements and supplements some known ones. 展开更多
关键词 Predator-prey model beddington-deangelis functional response perma-nence iterative method global stability.
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EXTINCTION OF A DISCRETE COMPETITIVE SYSTEM WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE AND THE EFFECT OF TOXIC SUBSTANCES
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作者 Jiangbin Chen Shengbin Yu 《Annals of Applied Mathematics》 2020年第4期356-378,共23页
In this paper, we consider a discrete competitive system with BeddingtonDe Angelis functional response and the effect of toxic substances. By constructing some suitable Lyapunov type extinction functions, sufficient c... In this paper, we consider a discrete competitive system with BeddingtonDe Angelis functional response and the effect of toxic substances. By constructing some suitable Lyapunov type extinction functions, sufficient conditions which guarantee the extinction of a species and global attractivity of the other one are obtained. Our results not only supplement and improve but also generalize some existing ones. Numerical simulations show the feasibility of our results. 展开更多
关键词 discrete competitive system beddington-deangelis functional response EXTINCTION toxic substances
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DiriNet:An Estimation Network for Spectral Response Function and Point Spread Function
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作者 Ting Hu Siyuan Cheng Chang Liu 《Journal of Beijing Institute of Technology》 EI CAS 2024年第4期287-297,共11页
Hyper-and multi-spectral image fusion is an important technology to produce hyper-spectral and hyper-resolution images,which always depends on the spectral response function andthe point spread function.However,few wo... Hyper-and multi-spectral image fusion is an important technology to produce hyper-spectral and hyper-resolution images,which always depends on the spectral response function andthe point spread function.However,few works have been payed on the estimation of the two degra-dation functions.To learn the two functions from image pairs to be fused,we propose a Dirichletnetwork,where both functions are properly constrained.Specifically,the spatial response function isconstrained with positivity,while the Dirichlet distribution along with a total variation is imposedon the point spread function.To the best of our knowledge,the neural network and the Dirichlet regularization are exclusively investigated,for the first time,to estimate the degradation functions.Both image degradation and fusion experiments demonstrate the effectiveness and superiority of theproposed Dirichlet network. 展开更多
关键词 Dirichlet network point spread function spectral response function hyper-spectralimage multi-spectral image
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Impact of minimally invasive surgery on immune function and stress response in gastric cancer patients
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作者 Rong-Hua Zhu Peng-Cheng Li +1 位作者 Jie Zhang Hua-Hua Song 《World Journal of Gastrointestinal Surgery》 SCIE 2024年第8期2484-2493,共10页
BACKGROUND Gastric cancer remains a leading cause of cancer-related mortality globally.Traditional open surgery for gastric cancer is often associated with significant morbidity and prolonged recovery.AIM To evaluate ... BACKGROUND Gastric cancer remains a leading cause of cancer-related mortality globally.Traditional open surgery for gastric cancer is often associated with significant morbidity and prolonged recovery.AIM To evaluate the effectiveness of laparoscopic minimally invasive surgery as an alternative to traditional open surgery for gastric cancer,focusing on its potential to reduce trauma,accelerate recovery,and achieve comparable oncological out-comes.METHODS This study retrospectively analyzed 203 patients with gastric cancer who underwent surgery at the Shanghai Health Medical College Affiliated Chongming Hospital from January 2020 to December 2023.The patients were divided into two groups:Minimally invasive surgery group(n=102),who underwent laparoscopic gastrectomy,and open surgery group(n=101),who underwent traditional open gastrectomy.We compared surgical indicators(surgical incision size,intraop-erative blood loss,surgical duration,and number of lymph nodes dissected),recovery parameters(time to first flatus,time to start eating,time to ambulation,and length of hospital stay),immune function(levels of IgA,IgG,and IgM),intestinal barrier function(levels of D-lactic acid and diamine oxidase),and stress response(levels of C-reactive protein,interleukin-6,and procalcitonin).RESULTS The minimally invasive surgery group demonstrated significantly better outcomes in terms of surgical indicators,including smaller incisions,less blood loss,shorter surgery time,and more lymph nodes dissected(P<0.05 for all).Recovery was also faster in the minimally invasive surgery group,with earlier return of bowel function,earlier initiation of diet,quicker mobilization,and shorter hospital stays(P<0.05 for all).Furthermore,patients in the minimally invasive surgery group had better preserved immune function,superior intestinal barrier function,and a less pronounced stress response postoperatively(P<0.05 for all).CONCLUSION Laparoscopic minimally invasive surgery for gastric cancer not only provides superior surgical indicators and faster recovery but also offers advantages in preserving immune function,protecting intestinal barrier function,and mitigating the stress response compared to traditional open surgery.These findings support the broader adoption of laparoscopic techniques in the management of gastric cancer. 展开更多
关键词 Gastric cancer Laparoscopic surgery Minimally invasive surgery Immune function Intestinal barrier Stress response
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Impulsive Predator-Prey Dynamic Systems with Beddington-DeAngelis Type Functional Response on the Unification of Discrete and Continuous Systems 被引量:1
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作者 Ayse Feza Güvenilir Billur Kaymakcalan Neslihan Nesliye Pelen 《Applied Mathematics》 2015年第9期1649-1664,共16页
In this study, the impulsive predator-prey dynamic systems on time scales calculus are studied. When the system has periodic solution is investigated, and three different conditions have been found, which are necessar... In this study, the impulsive predator-prey dynamic systems on time scales calculus are studied. When the system has periodic solution is investigated, and three different conditions have been found, which are necessary for the periodic solution of the predator-prey dynamic systems with Beddington-DeAngelis type functional response. For this study the main tools are time scales calculus and coincidence degree theory. Also the findings are beneficial for continuous case, discrete case and the unification of both these cases. Additionally, unification of continuous and discrete case is a good example for the modeling of the life cycle of insects. 展开更多
关键词 Time Scales Calculus Predator-Prey Dynamic Systems Periodic Solutions Coincidence Degree Theory beddington-deangelis Type functional response
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PERIODIC SOLUTION TO PREDATOR-PREY CHAIN SYSTEM WITH IMPULSIVE EFFECTS AND BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE
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作者 Yao Zhijian (Dept. of Math. and Physics, Anhui Institute of Architecture and Industry, Hefei 230601) 《Annals of Differential Equations》 2008年第3期367-378,共12页
In this paper, a predator-prey chain system with impulsive effects and Beddington-DeAngelis functional response is studied. We investigate the existence of periodic solu-tion by coincidence degree theory. Sufficient c... In this paper, a predator-prey chain system with impulsive effects and Beddington-DeAngelis functional response is studied. We investigate the existence of periodic solu-tion by coincidence degree theory. Sufficient conditions are obtained for the existence of periodic solution. 展开更多
关键词 IMPULSIVE predator-prey chain system beddington-deangelis func-tional response periodic solution coincidence degree
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Stability Analysis of a Self-Memory Prey-Predator Diffusion Model Based on Bazykin Functional Response
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作者 Yanzhe Han Fuqin Sun 《Journal of Applied Mathematics and Physics》 2023年第5期1391-1403,共13页
To investigate the effects of self-memory diffusion on predator-prey models, we consider a predator-prey model with Bazykin functional response of self- memory diffusion. The uniqueness, boundedness, positivity, exist... To investigate the effects of self-memory diffusion on predator-prey models, we consider a predator-prey model with Bazykin functional response of self- memory diffusion. The uniqueness, boundedness, positivity, existence and stability of equilibrium point of the model are studied. In this paper, the uniqueness of the solution is discussed under the non-negative initial function and Neumann boundary conditions satisfying a specific space. The boundness of the solution is proved by the comparison principle of parabolic equations, and the positivity of the solution is proved by the strong maximum principle of parabolic equations. Hurwitz criterion and Lyapunov function construction are used to analyze the local stability and global stability of feasible equilibrium points. The results show that the system solution is unique non-negative and bounded. The model is unstable at the trivial equilibrium point E0 and the boundary equilibrium point E1, and the condition of whether the positive equilibrium point E2 is stable under certain conditions is given. 展开更多
关键词 Bazykin functional response Lyapunov function BOUNDEDNESS UNIQUENESS Stability
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Dynamic Analysis of a Predator-Prey Model with Holling-II Functional Response
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作者 Jiemin Mo Wanying Li +2 位作者 Donghuan He Songbo Wang Xiaoliang Zhou 《Journal of Applied Mathematics and Physics》 2023年第10期2871-2878,共8页
A predator-prey model with linear capture term Holling-II functional response was studied by using differential equation theory. The existence and the stabilities of non-negative equilibrium points of the model were d... A predator-prey model with linear capture term Holling-II functional response was studied by using differential equation theory. The existence and the stabilities of non-negative equilibrium points of the model were discussed. The results show that under certain limited conditions, these two groups can maintain a balanced position, which provides a theoretical reference for relevant departments to make decisions on ecological protection. 展开更多
关键词 Predator-Prey Model Holling-II functional response Equilibrium Point STABILITY
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Dynamics of a Discrete Predator-Prey System with Beddington-DeAngelis Function Response 被引量:1
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作者 Qibin Fang Xiaoping Li Meiyu Cao 《Applied Mathematics》 2012年第4期389-394,共6页
This paper discusses the dynamic behaviors of a discrete predator-prey system with Beddington-DeAngelis function response. We first show that under some suitable assumption, the system is permanent. Furthermore, by co... This paper discusses the dynamic behaviors of a discrete predator-prey system with Beddington-DeAngelis function response. We first show that under some suitable assumption, the system is permanent. Furthermore, by constructing a suitable Lyapunov function, a sufficient condition which guarantee the global attractivity of positive solutions of the system is 展开更多
关键词 DISCRETE beddington-deangelis functional response PERMANENCE Global ATTRACTIVITY
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Inflammation: Complexity and significance of cellular and molecular responses 被引量:1
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作者 Serdar Ozdemir 《Journal of Acute Disease》 2024年第1期3-7,共5页
Inflammation is a multifaceted cellular and molecular response triggered by injury,infection,or various pathological conditions.Serving as a protective defense mechanism,the inflammatory response involves clinical sig... Inflammation is a multifaceted cellular and molecular response triggered by injury,infection,or various pathological conditions.Serving as a protective defense mechanism,the inflammatory response involves clinical signs like redness,swelling,pain,and increased body temperature.Immune cells,notably neutrophils and macrophages,play key roles in orchestrating this response.The delicate balance between proinflammatory and anti-inflammatory mediators,including cytokines and chemokines,regulates the inflammatory cascade.While acute inflammation is crucial for tissue repair,chronic inflammation may indicate an imbalance,contributing to conditions like autoimmune diseases.Understanding these mechanisms is vital for developing therapeutic strategies and managing chronic diseases. 展开更多
关键词 INFLAMMATION C-reactive protein PLATELETS SCUBE1 ADRENOMEDULLIN CALPROTECTIN Pentraxin-3 Immune response Acute phase response Vascular function
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EXISTENCE OF PERIODIC SOLUTIONS TO A SYSTEM WITH FUNCTIONAL RESPONSE ON TIME SCALES
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作者 Zhenjie Liu 《Analysis in Theory and Applications》 2009年第4期369-380,共12页
This paper investigates the existence of periodic solutions of a three-species food-chain diffusive system with Beddington-DeAngelis functional responses and time delays in a two-patch environment on time scales. By u... This paper investigates the existence of periodic solutions of a three-species food-chain diffusive system with Beddington-DeAngelis functional responses and time delays in a two-patch environment on time scales. By using a continuation theorem based on coincidence degree theory, we obtain sufficient criteria for the existence of periodic solutions for the system. Moreover, when the time scale T is chosen as R or Z, the existence of the periodic solutions of the corresponding continuous and discrete models follows. Therefore, the method is unified to provide the existence of the desired solutions for continuous differential equations and discrete difference equations. 展开更多
关键词 time scale food-chain system beddington-deangelis functional response diffusion coincidence degree
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Improvement of inflammatory response and gastrointestinal function in perioperative of cholelithiasis by Modified Xiao-Cheng-Qi decoction 被引量:2
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作者 Bao-Fang Sun Fan Zhang +4 位作者 Qiang-Pu Chen Qiang Wei Wen-Tao Zhu Hai-Bin Ji Xing-Yuan Zhang 《World Journal of Clinical Cases》 SCIE 2023年第4期830-843,共14页
BACKGROUND In the perioperative period of biliary surgery,various factors can induce the release of a large number of inflammatory factors,leading to an imbalance in proinflammatory and anti-inflammatory responses and... BACKGROUND In the perioperative period of biliary surgery,various factors can induce the release of a large number of inflammatory factors,leading to an imbalance in proinflammatory and anti-inflammatory responses and resulting in gastrointestinal(GI)dysfunction.Enhanced Recovery After Surgery protocols in biliary surgery have been shown to reduce the stress response and accelerate postoperative recovery.It is crucial to reduce the inflammatory response and promote the recovery of GI function after biliary surgery,both of which are the basis and key for perioperative care and postoperative recovery.AIM To better understand the effects of Modified Xiao-Cheng-Qi decoction(MXD)on inflammatory response and GI function in the perioperative management of cholelithiasis and their correlation.METHODS This was a prospective randomized placebo-controlled trial,in which 162 patients who received biliary tract surgery were randomly assigned to three groups:MXD group,XD group,and placebo-control group.The observed parameters included frequency of bowel sounds,time of first flatus and defecation,time of diet,and amount of activity after surgery.The serum levels of C-reactive protein(CRP),interleukin(IL)-6,IL-10,serum amyloid A protein(SAA),and substance P were measured by the enzyme-linked immunosorbent assay.Then,the spearman correlation coefficient was used to analyze the relationship between the indicators of GI function and inflammation.RESULTS Compared to the placebo-control,improvements in GI function were observed in the MXD groups including reduced incidence of nausea,vomiting,and bloating;and earlier first exhaust time,first defecation time,and feeding time after surgery(P<0.05).On the 1st and 2nd d after surgery,IL-6,CRP and SAA levels in MXD group were lower than that in placebo control,but substance P level was higher,compared to the control(P<0.05).Functional diarrhea occurred in both MXD and XD groups without any other adverse effects,toxic reactions,and allergic reactions.Diarrhea was relieved after the discontinuation of the investigational remedies.Bowel sounds at 12 h after surgery,the occurring time of the first flatus,first defecation,postoperative liquid diet and semiliquid diet were significantly correlated with levels of IL-6,CRP,SAA and substance P on second day after surgery(P<0.05).CONCLUSION Treatment with MXD can relieve inflammatory response and improve GI function after surgery.Moreover,there are significant correlations between them.Furthermore,it does not cause serious adverse reactions. 展开更多
关键词 Modified Xiao-cheng-qi Decoction CHOLELITHIASIS Inflammatory response Gastrointestinal function Enhanced Recovery After Surgery PERIOPERATIVE
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Elastoplastic response of functionally graded cemented carbides due to thermal loading
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作者 黄自谦 李传新 《Journal of Southeast University(English Edition)》 EI CAS 2013年第4期463-466,共4页
Finite dement formulations are used to simulate the evolution of the elastoplastic response of functionally graded cemented carbides (FGCC) due to thermal loading. The geometry of specimens is an axisymmetric solid ... Finite dement formulations are used to simulate the evolution of the elastoplastic response of functionally graded cemented carbides (FGCC) due to thermal loading. The geometry of specimens is an axisymmetric solid cylinder with a two-dimensional gradient. The elastoplastic constitutive relationship is developed by constraint factors. Numerical results show that compressive stresses occur in the surface zone and tensile stresses in the cobalt rich zone when the temperature drops from the initial stress-free temperature of 800 to 0℃. The maximum value of the surface compressive stress is 254 MPa and the maximum value of the tensile stress is 252 MPa in the cobalt rich zones. When the cobalt concentration difference in the specimens is equal to or greater than 0.3, there is pronounced plastic flow in cobalt rich zone. When the temperature heats up from 0 to 800 ℃, the total plastic strain reaches 0.001 4. Plastic flow has a significant effect on the reduction of thermal stress concentration. 展开更多
关键词 functionally graded cemented carbides finite element method constraint factors elastoplastic response
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Improvement of a temperature response function for divertor heat flux monitoring in fusion devices
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作者 Xuan Nhat Son BUI Hiroto MATSUURA Yousuke NAKASHIMA 《Plasma Science and Technology》 SCIE EI CAS CSCD 2023年第3期217-221,共5页
Temperature response functions have been developed to investigate sensor design and divertor heat flux estimation in magnetically confined plasmas. The time-dependent heat flux can be derived by fitting the response f... Temperature response functions have been developed to investigate sensor design and divertor heat flux estimation in magnetically confined plasmas. The time-dependent heat flux can be derived by fitting the response function to experimental thermocouple(TC) data. Because the TC signals have a time delay to transit events such as discharge start or confinement transition, the time delay is taken into account in a temperature response function. Such a function accurately describes the signal from each TC channel with time delay in a sensor test using a neutral beam injection. Measurement for commercial TCs shows that the time delay is caused by the finite heat capacity of TC wire and contact heat resistance between TC and target surface. 展开更多
关键词 DIVERTOR temperature response function thermocouple system primary delay
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具有Beddington-DeAngelis型功能性反应的随机时滞捕食-被捕食系统
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作者 黄开娇 肖飞雁 《广西师范大学学报(自然科学版)》 CAS 北大核心 2024年第3期141-150,共10页
本文研究一类具有Beddington-DeAngelis型功能性反应的随机时滞捕食-被捕食系统。利用Lyapunov函数、It8公式等证明该系统存在唯一全局正解和随机最终有界性,得到全局渐近稳定性的充分条件。利用Milstein方法进行数值模拟,验证系统的全... 本文研究一类具有Beddington-DeAngelis型功能性反应的随机时滞捕食-被捕食系统。利用Lyapunov函数、It8公式等证明该系统存在唯一全局正解和随机最终有界性,得到全局渐近稳定性的充分条件。利用Milstein方法进行数值模拟,验证系统的全局渐近稳定性。 展开更多
关键词 捕食-被捕食系统 beddington-deangelis型功能性反应 随机最终有界性 全局渐近稳定性
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EXISTENCE OF POSITIVE SOLUTION FOR A TWO-PATCHES COMPETITION SYSTEM WITH DIFFUSION AND TIME DELAY AND FUNCTIONAL RESPONSE 被引量:12
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作者 LiBiwen ZengXianwu 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2003年第1期1-8,共8页
By using the continuation theorem of coincidence theory, the existence of a positive periodic solution for a two patches competition system with diffusion and time delay and functional responsex [FK(W1*3/4。*2/3]... By using the continuation theorem of coincidence theory, the existence of a positive periodic solution for a two patches competition system with diffusion and time delay and functional responsex [FK(W1*3/4。*2/3]′ 1 (t)=x 1(t)a 1(t)-b 1(t)x 1(t)-c 1(t)y(t)1+m(t)x 1(t)+D 1(t)[x 2(t)-x 1(t)], x [FK(W1*3/4。*2/3]′ 2 (t)=x 2(t)a 2(t)-b 2(t)x 2(t)-c 2(t)∫ 0 -τ k(s)x 2(t+s) d s+D 2(t)[x 1(t)-x 2(t)], y′(t)=y(t)a 3(t)-b 3(t)y(t)-c 3(t)x 1(t)1+m(t)x 1(t)is established, where a i(t),b i(t),c i(t)(i=1,2,3),m(t) and D i(t)(i=1,2) are all positive periodic continuous functions with period w >0, τ is a nonnegative constant and k(s) is a continuous nonnegative function on [- τ ,0]. 展开更多
关键词 periodic solutions competition diffusive system functional response continuation theorem of coincidence degree topological degree.
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Mechanism of Functional Responses to Loading of Carbon Fiber Reinforced Cement-based Composites 被引量:6
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作者 JIANG Cuixiang LI Zhuoqiu +1 位作者 SONG Xianhui LU Yong 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2008年第4期571-573,共3页
Single fiber pull-out testing was conducted to study the origin of the functional responses to loading of carbon fiber reinforced cement-based composites. The variation of electrical resistance with the bonding force ... Single fiber pull-out testing was conducted to study the origin of the functional responses to loading of carbon fiber reinforced cement-based composites. The variation of electrical resistance with the bonding force on the fiber-matrix interface was measured. Single fiber electromechanical testing was also conducted by measuring the electrical resistance under static tension. Comparison of the results shows that the resistance increasing during single fiber pull-out is mainly due to the changes at the interface. The conduction mechanism of the composite can be explained by the tunneling model. The interfacial stress causes the deformation of interfacial structure and the interfacial debonding, which have influences on the tunneling effect and result in the change of resistance. 展开更多
关键词 carbon fiber functional response tunneling effect single pull-out CEMENT
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