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具脉冲扩散效应的单种群动力学模型
引用本文:孙岩,张玉娟,焦建军.具脉冲扩散效应的单种群动力学模型[J].生物数学学报,2013(4):612-616.
作者姓名:孙岩  张玉娟  焦建军
作者单位:[1]辽宁科技大学理学院,辽宁鞍山114051 [2]鞍山师范学院数学与信息科学学院,辽宁鞍山114007 [3]贵州省经济系统仿真重点实验室,贵州财经学院数学与统计学院,贵州贵阳550004
基金项目:国家自然科学基金项目(No.11361014;10961008;11371030)
摘    要:讨论了两斑块间脉冲扩散的单种群动力学模型,利用离散动力系统频闪映射理论,得到了种群持续生存的充分条件.结论31,1~了现实的生物种群动力学性质,也丰富了脉冲微分方程理论.

关 键 词:脉冲扩散  单种群模型  持续生存

Dynamics on a Single Population Model with the Effect of Impulsive Diffusion
SUN YanI ZHANG Yu-juan,JIAO Jian-jun.Dynamics on a Single Population Model with the Effect of Impulsive Diffusion[J].Journal of Biomathematics,2013(4):612-616.
Authors:SUN YanI ZHANG Yu-juan  JIAO Jian-jun
Institution:1 School of Science, University of Science and Technology Liaoning, Anshan Liaoning 114051 China) (2 College of Mathematics and Information Science, Anshan Normal University, Anshan Liaoning 114007 China) (3 Guizhou Key Laboratory of Economic System Simulation, School of Mathematics and Statistics, Guizhou College of Finance & Economics, Guizhou Guiyang 550004 China)
Abstract:In this paper, we investigate the dynamical behaviors of a single population model with impulsive diffusion. The sufficient condition of system permanence is obtained by the discrete dynamical system determined by the stroboscopic map. Our results depict the dynamical property of the practical biological population, and enrich the theory of impulsive differential equation.
Keywords:Impulsive diffusion  Single population model  Permanence
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