POSITIVE STEADY STATES AND DYNAMICS FOR A DIFFUSIVE PREDATOR-PREY SYSTEM WITH A DEGENERACY

被引：0

作者：

Yang, Lu ^{[1
,2
]}

Zhang, Yimin ^{[3
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

[2] Key Lab Appl Math & Complex Syst, Lanzhou 730000, Gansu, Peoples R China

[3] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Predator-prey system; steady state solution; dynamical behavior; CROSS-DIFFUSION; BIFURCATION BRANCH; GLOBAL BIFURCATION; DISPERSAL RATES; MODEL; EVOLUTION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider positive steady state solutions and dynamics for a spatially heterogeneous predator-prey system with modified Leslie-Gower and Holling-Type II schemes. The heterogeneity here is created by the degeneracy of the intra-specific pressures for the prey. By the bifurcation method, the degree theory, and a priori estimates, we discuss the existence and multiplicity of positive steady states. Moreover, by the comparison argument, we also discuss the dynamical behavior for the diffusive predator-prey system.

引用

页码：537 / 548

页数：12

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