期刊文献+

具有两个状态脉冲控制的害虫治理模型的阶一周期解的存在性和吸引性 被引量:5

Existence and Attractiveness of Order One Periodic Solution of Predator-Prey Model with Twice State-Dependent Impulsive Control
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摘要 在文献[10]的基础上,基于害虫治理问题,建立具有两个状态脉冲控制的HollingⅡ功能性反应的害虫治理模型,利用所定义的后继函数和分析的方法研究了系统阶一周期解的存在性和吸引性. On the base of article [10], we establish a Holling II predator-prey model with twice state-dependent impulsive in view of the problem of pest controlling. We also discuss the existence and attractiveness by analyzing successor functions.
出处 《生物数学学报》 CSCD 2012年第1期85-92,共8页 Journal of Biomathematics
基金 国家自然科学基金资助项目(10971001) 辽宁省高等学校优秀人才支持计划资助项目
关键词 HollingⅡ类捕食食饵模型 阶一周期解 后继函数 不变集 Holling II predator-prey model Order one periodic solution Successor functions Invariant set
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共引文献15

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  • 1Sanyi Tang,Robert A. Cheke.Models for integrated pest control and their biological implications[J]. Mathematical Biosciences . 2008 (1)
  • 2P. D. N. Srinivasu,B. S. R. V. Prasad.Time optimal control of an additional food provided predator–prey system with applications to pest management and biological conservation[J].Journal of Mathematical Biology.2010(4)
  • 3Juhua Liang,Sanyi Tang.Optimal dosage and economic threshold of multiple pesticide applications for pest control[J].Mathematical and Computer Modelling.2009(5)
  • 4Sanyi Tang,Yanni Xiao,Robert A. Cheke.Dynamical analysis of plant disease models with cultural control strategies and economic thresholds[J].Mathematics and Computers in Simulation.2009(5)
  • 5Zhisheng Shuai,Ling Bai,Ke Wang.Optimization problems for general simple population with n -impulsive harvest[J].Journal of Mathematical Analysis and Applications.2006(1)
  • 6Ya-Zhong Luo,Guo-Jin Tang,Hai-yang Li.Optimization of multiple-impulse minimum-time rendezvous with impulse constraints using a hybrid genetic algorithm[J].Aerospace Science and Technology.2006(6)
  • 7J. Angelova,A. Dishliev.Optimization problems for one-impulsive models from population dynamics[J].Nonlinear Analysis.2000(4)
  • 8Zhonghua Lu,Xuebin Chi,Lansun Chen.Impulsive control strategies in biological control of pesticide[J]. Theoretical Population Biology . 2003 (1)
  • 9王定江.非线性森林发展系统研究进展[J].生物数学学报,2008,23(1):125-131. 被引量:14
  • 10徐为坚,陈兰荪.基于喷洒杀虫剂及释放病虫的脉冲控制害虫模型[J].数学的实践与认识,2008,38(17):89-94. 被引量:6

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