On the nonlinear dynamics of an ecoepidemic reaction-diffusion model

被引：6

作者：

Capone, Florinda ^{[1
]}

De Luca, Roberta ^{[1
]}

机构：

[1] Univ Naples Federico II, Dept Math & Applicat Renato Caccioppoli, Via Cinzia 80126, Naples, Italy

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2017年 / 95卷

关键词：

Ecoepidemic models; Absorbing sets; Stability; PREDATOR-PREY MODELS; STABILITY; DISEASE; EPIDEMICS;

D O I：

10.1016/j.ijnonlinmec.2017.07.009

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A reaction diffusion ecoepidemic model of predator prey type with a transmissible disease spreading among the predator species only is considered. The longtime behavior of solutions is analyzed and, in particular, absorbing sets in the phase space are determined. Conditions guaranteeing the non existence of non-constant equilibria have been found. Linear and non-linear stability conditions for biologically meaningful equilibria are determined. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：307 / 314

页数：8

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[Anonymous], ABSTR APPL AN

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[Anonymous], MAXIMUM PRINCIPLES H

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[Anonymous], MATH METHODS APPL SC