Asymptotic spreading in a Lotka-Volterra predator-prey system

被引：37

作者：

Pan, Shuxia ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 407卷 / 02期

关键词：

Comparison principle; Asymptotic spreading; Nonmonotone system; TRAVELING-WAVE SOLUTIONS; EQUATIONS; EXISTENCE; SPEEDS; RECURSIONS; DIFFUSION; GROWTH; SLOW;

D O I：

10.1016/j.jmaa.2013.05.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the asymptotic spreading of a Lotka-Volterra predator-prey system with self-limit effect, in which the intrinsic growth rates of both species are positive. The spreading speeds of both species are estimated, which implies the role of nonlinearities in asymptotic spreading. Biologically, our results confirm that the prey may contribute to the asymptotic spreading of the predator. (c) 2013 Elsevier Inc. All rights reserved.

引用

页码：230 / 236

页数：7

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