摘要
利用比较原理和重合度理论与Lyapunov函数,研究了一类具有双密度制约和Non-Monotonic型功能性反应食饵-捕食者系统的持久性和全局周期解的存在性及其全局稳定性,得到了周期系统存在唯一全局渐近稳定的正周期解的充分条件.所得结论推广了已有的结果.
The persistence of a class of predator-prey system is investigated with double density restrict and non-monotonic type functional response,the existence and the global stability of its global positive periodic solution by using comparability theorem,coincidence degree theory and lyapunov functions.the sufficient conditions are obtained which guarantee the existence of the global asymptotic stable positive periodic solution of the periodic system.These obtained results generalize the main result.
出处
《东北师大学报(自然科学版)》
CAS
CSCD
北大核心
2009年第1期17-22,共6页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家科技发展计划(863)项目(2007AA12Z242)