摘要
本文对基于比率的广义Holling-Tanner系统进行了定性分析,给出了系统解有界的条件和平衡点局部稳定的条件.通过构造适当的Liapunov函数,得到了正平衡点全局渐近稳定性的充分条件.
In this paper a ratio-dependent generalized Holling-Tanner system is discussed. It obtains the condition for the boundary of solution, and the condition for the local stability of the steady state. We get some conditions for global asymptotic stability of the positive steady state by means of constructing a Liapunov function.
出处
《数学研究》
CSCD
2011年第3期309-312,共4页
Journal of Mathematical Study
基金
国家自然科学基金(10871196)资助
