The Dynamics of a Predator-Prey Model with Diffusion and Indirect Prey-Taxis

被引：43

作者：

Wang, Jianping ^{[1
]}

Wang, Mingxin ^{[1
]}

机构：

[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2020年 / 32卷 / 03期

关键词：

Diffusive predator-prey model; Indirect prey-taxis; Global existence and boundedness; Global stability and convergence rate; LOGISTIC EQUATION; PATTERN-FORMATION; FREE-BOUNDARY; BOUNDEDNESS; SYSTEM;

D O I：

10.1007/s10884-019-09778-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns with a reaction-diffusion system modeling the population dynamics of the predator and prey, in which the predator moves toward the gradient of concentration of some chemical released by prey instead of moving directly toward the higher density of prey. The first objective is to investigate the global existence and boundedness of the unique classical solution. Then we study the asymptotic stabilities of nonnegative spatially homogeneous equilibria. Moreover, the convergence rates are also studied.

引用

页码：1291 / 1310

页数：20

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