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.
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.
出处
《河北师范大学学报(自然科学版)》
CAS
2004年第5期443-447,共5页
Journal of Hebei Normal University:Natural Science
基金
军械工程学院科学研究基金资助项目(YJJXM02009)