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具有扩散率非自治Ayala模型的持续生存与周期解
引用本文:裴永珍 原存德. 具有扩散率非自治Ayala模型的持续生存与周期解[J]. 山西师范大学学报:自然科学版, 1997, 11(4): 10-19
作者姓名:裴永珍 原存德
作者单位:山西师范大学数计系(裴永珍),山西师范大学数计系(原存德)
摘    要:
本文讨论非自治Ayala系统在无扩散丛有扩散时持续生存和灭绝的充分条件,以及该系统为周期系统时存在唯一严格正的全局稳定周期解的条件。

关 键 词:Ayala系统  扩散  持续生存  周期系统  周期解

Persistence and Periodic Solution for Two-species NonautonomousAyala Model with Diffusion
Pei Yongzhen Yuan Cunde. Persistence and Periodic Solution for Two-species NonautonomousAyala Model with Diffusion[J]. Journal of Shanxi Teachers University, 1997, 11(4): 10-19
Authors:Pei Yongzhen Yuan Cunde
Affiliation:Pei Yongzhen Yuan Cunde
Abstract:
This paper considers the sufficient conditions of persistence and extiction for a nonautonomous Ayala system without diffusion and with diffusion. Further, if it is a periodic system, under appropriate conditions it can have a strictly positive periodic solution which is globally asymptotically stable.
Keywords:Ayala system Diffusion Persistence Periodic system Periodic solution
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