Permanence for nonautonomous predator-prey Kolmogorov systems with impulses and its applications
Permanence for nonautonomous predator-prey Kolmogorov systems with impulses and its applications
复制标题
DOI：
10.1016/j.amc.2013.07.093
复制
发表时间：
2013-10
期刊：
影响因子：
--
通讯作者：
Hongxiao Hu
中科院分区：
文献类型：
--
作者：
Hongxiao Hu
本文研究了一般脉冲非自主捕食者-被捕食者柯尔莫哥洛夫系统。建立了一些关于持久性和最终界限的新标准。作为这些结果的应用，研究了一些特殊模型，如一类脉冲非自治Lotka-Volterra系统、脉冲Holling I型功能响应系统、脉冲Holling(m,n)型功能响应系统、脉冲Beddington-DeAngelis功能响应系统、Leslie-Gower功能响应系统和恒化器型系统。
In this paper, the general impulsive non-autonomous predator–prey Kolmogorov system is studied. Some new criteria on the permanence and ultimate boundedness are established. As applications of these results, some special models are studied, such as a class of impulsive non-autonomous Lotka–Volterra systems, impulsive Holling I-type functional response systems, impulsive Holling (m, n)-type functional response systems, impulsive Beddington–DeAngelis functional response systems, Leslie–Gower functional response systems and chemostat-type systems.