摘要
建立了一类具有Beddington-DeAngelis功能反应和Allee效应的非自治捕食系统,充分利用微分不等式技巧等得到了系统一致持久生存的充分条件。对相应的周期系统,利用Browder不动点定理得到了系统周期解的存在性,同时通过构造一个特殊的Lyapunov函数得到了系统周期解全局渐近稳定的控制条件,最后用MATLAB软件对相关理论结果进行了数值模拟。
In this paper,a non-autonomous predator-prey system with Beddington-DeAngelis functional response and Allee effect was studied.Sufficient conditions for uniform persistence of the system were obtained by the skills of differential inequalities.For corresponding periodic system,globally asymptotic stability of the periodic solution was obtained by Browder's fixed point theory and constructing a suitable Lyapunov function.Finally,some numerical examples and simulations were given for the theoretical results by Matlab software.
作者
李佳美
张勇
田宝单
LI Jiamei;ZHANG Yong;TIAN Baodan(School of Science,Southwest University of Science and Technology,Mianyang 621010,Sichuan,China)
出处
《西南科技大学学报》
CAS
2019年第1期102-106,共5页
Journal of Southwest University of Science and Technology
基金
四川省科技厅应用基础项目(2017JY0336)
西南科技大学龙山学术人才科研支持计划项目(17LZX670
18LZX622)
