A PDE MODEL OF INTRAGUILD PREDATION WITH CROSS-DIFFUSION

被引：6

作者：

Cantrell, Robert Stephen ^{[1
,2
]}

Cao, Xinru ^{[1
]}

Lam, King-Yeung ^{[3
]}

Xiang, Tian ^{[1
]}

机构：

[1] Renmin Univ China, Inst Math Sci, Beijing 100872, Peoples R China

[2] Univ Miami, Dept Math, Coral Gables, FL 33124 USA

[3] Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2017年 / 22卷 / 10期

基金：

中国博士后科学基金;

关键词：

Cross-diffusion; global existence; intraguild predation; DYNAMIC THEORY; AVOIDANCE; COEXISTENCE; DISPERSAL; SYSTEMS;

D O I：

10.3934/dcdsb.20171.45

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note concerns a quasilinear parabolic system modeling an intraguild predation community in a focal habitat in R-n , n >= 2. In this system the intraguild prey employs a fitness-based dispersal strategy whereby the intraguild prey moves away from a locale when predation risk is high enough to render the locale undesirable for resource acquisition. The system modifies the model considered in Ryan and Cantrell (2015) by adding an element of mutual interference among predators to the functional response terms in the model, thereby switching from Bolling II forms to Beddington-DeAngelis forms. We show that the resulting system can be realized as a semi-dynamical system with a global attractor for any n >= 2. In contrast, the orginal model was restricted to two dimensional spatial habitats. The permanance of the intraguild prey then follows as in Ryan and Cantrell by means of the Acyclicity Theorem of Persistence Theory.

引用

页码：3653 / 3661

页数：9