Global Stability for a Binary Reaction-Diffusion Lotka-Volterra Model with Ratio-Dependent Functional Response

被引：3

作者：

Capone, Florinda ^{[1
]}

De Luca, Roberta ^{[1
]}

机构：

[1] Univ Naples Federico II, Complesso Univ Monte S Angelo, Dept Math & Applicat R Caccioppoli, Via Cinzia, I-80126 Naples, Italy

来源：

ACTA APPLICANDAE MATHEMATICAE | 2014年 / 132卷 / 01期

关键词：

Predator-prey; Ratio-dependent; Global stability; PREDATOR-PREY MODEL; QUALITATIVE-ANALYSIS; DYNAMICS; SYSTEM;

D O I：

10.1007/s10440-014-9900-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A reaction-diffusion system modeling the predation between two species is analyzed in the case in which the predators have to search, share and compete for food. The boundedness and uniqueness of the solutions is proved and conditions guaranteeing the global nonlinear asymptotic stability of the positive equilibrium point have been found. These conditions improve those ones present in the existing literature.

引用

页码：151 / 163

页数：13

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