STABILITY OF STEADY STATES AND EXISTENCE OF TRAVELING WAVES FOR A HOST-VECTOR EPIDEMIC

被引：4

作者：

Wu, Chufen ^{[1
,2
]}

Weng, Peixuan ^{[2
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

[2] S China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2011年 / 21卷 / 06期

关键词：

Host-vector epidemic; stability; traveling wave; spatiotemporal interaction; GLOBAL ASYMPTOTIC STABILITY; SPATIAL SPREAD; POPULATION-MODEL; DISEASE-MODEL; RABIES; INFECTION; INVASIONS; FRONTS; FOXES;

D O I：

10.1142/S0218127411029355

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the stability of steady states and establish the existence of traveling waves for a diffusive host-vector epidemic with a nonlocal spatiotemporal interaction. We develop the techniques of contracting-convex-sets, limit argument, singular perturbation and fixed point theorems.

引用

页码：1667 / 1687

页数：21

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