非线性种群反应扩散系统奇摄动ROBIN问题(英文) 被引量：3

The Nonlinear Species Group Singularly Perturbed Robin Problems for Reaction Diffusion System

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摘要研究了一类具有非线性种群反应扩散系统奇摄动Robin初始边值问题.在适当的条件下,利用微分不等式理论,讨论了问题解的存在性和渐近性态. The nonlinear species group singularly perturbed Robin initial boundary value problems for reaction diffusion systems are considered. Under suitable conditions, using theory of differential inequalities the existence and asymptotic behavior of solution for initial boundary value problems are studied.

作者莫嘉琪姚静荪王辉

机构地区湖州师范学院数学系安徽师范大学数学系中国气象科学研究院

出处《生物数学学报》 CSCD 北大核心 2007年第2期193-199,共7页 Journal of Biomathematics

基金 the National Natural Science Foundation of China (40531006 and 10471039) the National Key Project for Basics Research (2003CB415101-03 and 2004CB418304) the Key Project of the Chinese Academy of Sciences (KZCX3-SW-221) in part by E-Insitutes of Shanghai Municipal Education Commission (N.E03004).

关键词非线性种群反应扩散奇摄动 ROBIN问题 Nonlinear Species group Reaction diffusion Singular perturbation Robin Problem

分类号 O175.29 [理学—基础数学]

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参考文献4

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2莫嘉琪.A CLASS OF NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR NONLINEAR HYPERBOLIC DIFFERENTIAL EQUATION[J].Acta Mathematicae Applicatae Sinica,2001,17(4):469-474. 被引量：41
3MO Jiaqi and WANG Hui(1. Anhui Normal University, Wuhu 241000, China,2. National Natural Science Foundation of China, Beijing 100085, China).Shock solution for quasilinear singularly perturbed Robin problem[J].Progress in Natural Science:Materials International,2002,12(12):945-947. 被引量：70
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二级参考文献11

1MO Jiaqi and WANG Hui(1. Anhui Normal University, Wuhu 241000, China,2. National Natural Science Foundation of China, Beijing 100085, China).Shock solution for quasilinear singularly perturbed Robin problem[J].Progress in Natural Science:Materials International,2002,12(12):945-947. 被引量：70
2莫嘉琪.A CLASS OF SINGULARLY PERTURBED REACTION DIFFUSION INTEGRAL DIFFERENTIAL SYSTEM[J].Acta Mathematicae Applicatae Sinica,1999,15(1):18-23. 被引量：31
3MO Jiaqi (Department of Mathematics, Anhui Normal University, Wuhu 241000, China).A CLASS OF SINGULARLY PERTURBEDBOUNDARY VALUE PROBLEMS FOR NONLINEARDIFFERENTIAL SYSTEMS[J].Systems Science and Mathematical Sciences,1999,12(1):55-58. 被引量：51
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5莫嘉琪,冯茂春.THE NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH TIME DELAY[J].Acta Mathematica Scientia,2001,21(2):254-258. 被引量：31
6莫嘉琪,欧阳成.A CLASS OF NONLOCAL BOUNDARY VALUE PROBLEMS OF NONLINEAR ELLIPTIC SYSTEMS IN UNBOUNDED DOMAINS[J].Acta Mathematica Scientia,2001,21(1):93-97. 被引量：64
7莫嘉琪.THE SINGULARLY PERTURBED PROBLEM FOR COMBUSTION REACTION DIFFUSION[J].Acta Mathematicae Applicatae Sinica,2001,17(2):255-259. 被引量：68
8莫嘉琪.A CLASS OF NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR NONLINEAR HYPERBOLIC DIFFERENTIAL EQUATION[J].Acta Mathematicae Applicatae Sinica,2001,17(4):469-474. 被引量：41
9莫嘉琪.SINGULAR PERTURBATION FOR A CLASS OF NONLINEAR REACTION DIFFUSION SYSTEMS[J].Science China Mathematics,1989,32(11):1306-1315. 被引量：213
10莫嘉琪.A CLASS OF SINGULARLY PERTURBED REACTION DIFFUSION SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),1997,18(3):273-277. 被引量：6

共引文献278

1林万涛,莫嘉琪.简单ENSO海-气耦合模式摄动解的渐近性态[J].科学通报,2003,48(z1):78-81. 被引量：1
2Yao Jingsun, Mo Jiaqi (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).SINGULARLY PERTURBED SOLUTION TO SEMILINEAR HIGHER ORDER REACTION DIFFUSION EQUATIONS WITH TWO PARAMETERS[J].Annals of Differential Equations,2009,25(1):91-96. 被引量：1
3莫嘉琪.具有奇性方程的非线性奇摄动问题的正解(英文)[J].应用数学,2010(1):13-17. 被引量：1
4MO Jiaqi and WANG Hui(1. Anhui Normal University, Wuhu 241000, China,2. National Natural Science Foundation of China, Beijing 100085, China).Shock solution for quasilinear singularly perturbed Robin problem[J].Progress in Natural Science:Materials International,2002,12(12):945-947. 被引量：70
5LIU,Qi-lin(刘其林),MO,Jia-qi(莫嘉琪).THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR THE SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEMS OF THE REACTION DIFFUSION EQUATIONS IN A PART OF DOMAIN[J].Applied Mathematics and Mechanics(English Edition),2001,22(10):1192-1197. 被引量：1
6Liu Shude~1 Chen Lihua~2 Mo Jiaqi~(1,3) (1.Dept.of Math.,Anhui Normal University,Wuhu 241000,Anhui,2.Dept.of Math.,Fuqing Branch of Fujian Normal University,Fuqing 350300,Fujian,3.Division of Computational Science,E-Institutes of Shanghai Universities,at SJTU,Shanghai 200240).THE INITIAL-BOUNDARY VALUE PROBLEMS OF NONLINEAR AND NONLOCAL SINGULARLY PERTURBED REACTION DIFFUSION SYSTEM[J].Annals of Differential Equations,2008,24(1):20-28. 被引量：5
7Mo Jiaqi1,2,Yao Jingsun1(1. Dept. of Math.,Anhui Normal University,Wuhu 241000,Anhui,2. Division of Computational Science,E-Institutes of Shanghai Universities at SJTU,Shanghai 200240).THE GENERALIZED FUNCTIONAL-VARIATION SOLVING METHODS FOR NONLINEAR REACTION DIFFUSION IN BIONOMICS OF SPECIES GROUPS[J].Annals of Differential Equations,2008,24(2):193-196. 被引量：1
8Jingsun Yao, Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO NONLINEAR REACTION DIFFUSION EQUATION WITH TWO SMALL PARAMETERS[J].Annals of Differential Equations,2010,26(1):100-104.
9Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO NONLINEAR ECOLOGICAL REACTION DIFFUSION SYSTEM[J].Annals of Differential Equations,2010,26(3):292-296.
10Jiaqi Mo 1,2 , Jingsun Yao 1 (1. Dept. of Math., Anhui Normal University, Wuhu 241003, Anhui,2. Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO MODEL FOR A CLASS OF VIRUS TRANSMISSION[J].Annals of Differential Equations,2010,26(4):436-441. 被引量：1

同被引文献19

1Mo Jiaqi1,2,Yao Jingsun1(1. Dept. of Math.,Anhui Normal University,Wuhu 241000,Anhui,2. Division of Computational Science,E-Institutes of Shanghai Universities at SJTU,Shanghai 200240).THE GENERALIZED FUNCTIONAL-VARIATION SOLVING METHODS FOR NONLINEAR REACTION DIFFUSION IN BIONOMICS OF SPECIES GROUPS[J].Annals of Differential Equations,2008,24(2):193-196. 被引量：1
2Jingsun Yao Jiaqi Mo.THE NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH A BOUNDARY PERTURBATION[J].Analysis in Theory and Applications,2005,21(3):242-248. 被引量：4
3Yao Jingsun Mo Jiaqi.GENERALIZED SOLUTION OF SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS[J].Annals of Differential Equations,2006,22(1):81-86. 被引量：4
4莫嘉琪,张伟江,何铭.激光脉冲放大器传输波的计算[J].物理学报,2006,55(7):3233-3236. 被引量：25
5MO Jiaqi,LIN Wantao,WANG Hui.Variational iteration solving method of a sea-air oscillator model for the ENSO[J].Progress in Natural Science:Materials International,2007,17(2):230-232. 被引量：60
6莫嘉琪,张伟江,何铭.强非线性发展方程孤波近似解[J].物理学报,2007,56(4):1843-1846. 被引量：25
7张悦,张庆灵.基于广义生物经济系统的混沌控制[J].控制与决策,2007,22(4):445-447. 被引量：14
8莫嘉琪,周康荣.非线性种群反应扩散系统的奇摄动(英文)[J].生物数学学报,2006,21(4):481-488. 被引量：3
9凌智,林支桂.三种群互惠模型抛物系统解的整体存在与爆破[J].生物数学学报,2007,22(2):209-214. 被引量：7
10莫嘉琪,王辉.广义Lotke-Volterra生态模型的非线性奇摄动近似解(英文)[J].生态学报,2007,27(10):4366-4370. 被引量：27

引证文献3

1Jiaqi Mo 1,2 , Jingsun Yao 1 (1. Dept. of Math., Anhui Normal University, Wuhu 241003, Anhui,2. Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO MODEL FOR A CLASS OF VIRUS TRANSMISSION[J].Annals of Differential Equations,2010,26(4):436-441. 被引量：1
2陈丽华,莫嘉琪.生物数学中的反应扩散系统的同伦映射方法(英文)[J].生物数学学报,2008,23(3):385-389. 被引量：2
3姜玉山,李宏伟,李晓奇.具有社会行为的HIV传播模型(英文)[J].生物数学学报,2009,24(4):620-623. 被引量：1

二级引证文献3

1CHEN Lihua1, MO Jiaqi2,3 1. Department of Mathematics and Computer Science, Fujian Normal University, Fuqing 350300, Fujian, China,2. Department of Mathematics, Anhui Normal University, Wuhu 241000, Anhui, China,3. Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiao Tong University, Shanghai 200240, China.Solvability for Nonlinear Reaction Diffusion Equation with Boundary Perturbation[J].Wuhan University Journal of Natural Sciences,2009,14(6):481-483.
2王仲君,张莉丽.具有年龄结构的异质元胞自动机HIV传播模型[J].武汉理工大学学报（信息与管理工程版）,2014,36(2):145-149. 被引量：2
3莫嘉琪,汪维刚,石兰芳.一类病毒传播模型的近似解(英文)[J].应用数学,2015,28(1):10-15.

1叶培培,徐彪,陈松林.具有边界摄动的反应扩散方程奇摄动Robin问题[J].安徽工业大学学报（自然科学版）,2011,28(1):93-96. 被引量：4
2莫嘉琪,王莉婕,孙敏.一类反应扩散方程奇摄动Robin问题的广义解[J].纯粹数学与应用数学,2006,22(1):1-5. 被引量：4
3唐荣荣.一类非线性奇摄动Robin问题解的渐近性态[J].数学物理学报（A辑）,2008,28(6):1128-1132.
4石兰芳,林万涛,温朝晖,莫嘉琪.一类奇摄动Robin问题的内部冲击波解[J].应用数学学报,2013,36(1):108-114. 被引量：7
5莫嘉琪.反应扩散方程奇摄动Robin问题的渐近解[J].应用数学学报,2010,33(3):566-573. 被引量：7
6秦赵娜,姚静荪.一类具有局部弱稳定退化解的奇摄动Robin问题[J].应用数学与计算数学学报,2014,28(3):366-378.
7王庚.三种群非线性食饵—捕食反应扩散系统奇摄动Robin问题。[J].纯粹数学与应用数学,2007,23(2):152-156. 被引量：4
8卢西庄.一类二次非线性奇摄动Robin问题的渐进解[J].阜阳师范学院学报（自然科学版）,2008,25(4):15-17.
9王庚.一类两种群竞争非线性反应扩散系统奇摄动Robin问题[J].华东师范大学学报（自然科学版）,2006(5):43-46.

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