摘要
建立了一类新的具有集体间歇扩散形式的种群动力学模型.模型所讨论的间歇扩散方式与以往研究过的模型相比,既不同于连续扩散,也不同于脉冲扩散,而是二者的综合.通过离散动力系统理论,分析方法,建立了系统持久性、灭绝性、周期解存在性,唯一性以及全局渐近稳定性的判别准则.通过数值模拟及讨论验证了理论结果的有效性.
In this paper, we propose a new aggregate dispersal population model. The migration behavior modelled in this paper is in the form of intermittence, which is di？erent from both continuous dispersal or impulsive dispersal, instead,it is synthesis of these types. Some criteria for the permanence, extinction of system, existence, uniqueness and global stability of positive periodic solution are established by utilizing analytic method based on discrete dynamical systems.Besides, results are further confirmed by numerical simulations.
出处
《新疆大学学报（自然科学版）》
CAS
北大核心
2015年第4期427-434,共8页
Journal of Xinjiang University(Natural Science Edition)
基金
国家大学生创新性实验计划项目(201410755007)
The National Natural Science Foundation of P.R.China(11361059,11271312)
The Development Project of Innovative Talents of Technological Youth of Xinjiang(2014721014)
the Scientific Research Programmes of Colleges in Xinjiang(XJEDU2013I03)
关键词
间歇扩散
持久性
周期解
全局稳定
Intermittent dispersal
Permanence
Periodic solution
Global stability
