DIFFUSIVE PREDATOR-PREY MODELS WITH STAGE STRUCTURE ON PREY AND BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSES

被引：1
|
作者：
Lee, Seong [1 ]
Ahn, Inkyung [1 ]
机构：
[1] Korea Univ, Dept Math, 2511 Sejong Ro, Sejong 30019, South Korea
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2017年 / 16卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Diffusive predator-prey model; Beddington-DeAngelis functional response; time delay; stage structure on prey; locally/globally asymptotically stable;
D O I：
10.3934/cpaa.2017022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we examine a diffusive predator-prey model with Beddington-DeAngelis functional response and stage structure on prey under homogeneous Neumann boundary conditions, where the discrete time delay covers the period from the birth of immature prey to their maturity. We investigate the dynamics of their permanence and the extinction of the predator, and provide sufficient conditions for the global attractiveness and the locally asymptotical stability of the semi-trivial and coexistence equilibria.
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页码：427 / 441
页数：15
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