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.结论刻画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.
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.
出处
《生物数学学报》
2013年第4期612-616,共5页
Journal of Biomathematics
基金
国家自然科学基金项目(No.11361014
10961008
11371030)
关键词
脉冲扩散
单种群模型
持续生存
Impulsive diffusion
Single population model
Permanence
