DYNAMICS OF LOTKA-VOLTERRA PREDATOR-PREY MODEL CONSIDERING SATURATED REFUGE FOR PREY

被引：0

作者：

Almanza-Vasquez, Edilbert ^{[1
]}

Gonzalez-Olivares, Eduardo ^{[2
]}

Gonzalez-Yanez, Betsabe ^{[2
]}

机构：

[1] Univ Cartagena, Fac Ingn, Bolivar, Colombia

[2] Pontificia Univ Catolica Valparaiso, Inst Math, Grp Ecol Math, Valparaiso, Chile

来源：

BIOMAT 2011: INTERNATIONAL SYMPOSIUM ON MATHEMATICAL AND COMPUTATIONAL BIOLOGY | 2012年

关键词：

BIOECONOMIC MODEL; STABILITY; PARADOX; SYSTEM;

D O I：

暂无

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A deterministic continuous-time predator-prey model is analysed, which is obtained modifying the well-known Lotka-Volterra predator-prey model with prey self-limitation, where the use of refuge by a fraction of prey population is considered. In earlier works it has been claimed that the prey refuge use exerts a stabilizing effect in the dynamics of the interacting populations. In this work, assuming that the quantity of prey in refugia is expressed by a new saturated function such as a Holling type II functional response, we show that the above statement is true.

引用

页码：62 / 72

页数：11

共 28 条

[1] Invulnerable prey and the paradox of enrichment [J].