Permanence and global stability of a class of discrete epidemic models

被引：28

作者：

Muroya, Yoshiaki ^{[1
]}

Nakata, Yukihiko ^{[3
]}

Izzo, Giuseppe ^{[2
]}

Vecchio, Antonia ^{[4
]}

机构：

[1] Waseda Univ, Dept Math Sci, Shinjuku Ku, Tokyo 1698555, Japan

[2] Univ Naples Federico 2, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

[3] BCAM Basque Ctr Appl Math, E-48160 Derio, Spain

[4] CNR, Ist Appl Calcolo M Picone, I-80131 Naples, Italy

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 04期

基金：

日本学术振兴会;

关键词：

Discrete epidemic model; Permanence; Global asymptotic stability; Endemic equilibrium; INFECTIOUS-DISEASES; DYNAMICS; PROGRESSION;

D O I：

10.1016/j.nonrwa.2010.12.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the permanence of a system and give a sufficient condition for the endemic equilibrium to be globally asymptotically stable, which are the remaining problems in our previous paper (G. Izzo, Y. Muroya, A. Vecchio, A general discrete time model of population dynamics in the presence of an infection, Discrete Dyn. Nat. Soc. (2009), Article ID 143019, 15 pages. doi:10.1155/2009/143019.) (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2105 / 2117

页数：13

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