期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Persistence and Global Stability for a Predator-prey System with Time Delays and Diffusion
摘要/Abstract
摘要：
研究了具有时滞和扩散的比率型2种群捕食系统,利用比较定理得到了系统一致持续生存的条件,通过构造合理的Lyapunov函数,得到了系统正平衡点全局渐近稳定的充分条件.
Abstract：
A two-species ratio-dependent predator-prey system with time delay and diffusion is investigated.By comparison theorem and constructing suitable Lyapunov functional,a set of easily verifiable sufficient conditions are obtained for the global stability of the positive equilibrium and uniform persistence of the system.
关键词
Key words：
predator-prey system
;
uniform persistence
;
global stability