An approximate threshold condition for non-autonomous system: An application to a vector-borne infection

被引：28

作者：

Coutinho, FAB

Burattini, MN

Lopez, LF

Massad, E

机构：

[1] Univ Sao Paulo, Sch Med, BR-01246903 Sao Paulo, Brazil

[2] HCFMUSP, LIM 01, BR-01246903 Sao Paulo, Brazil

[3] Univ London London Sch Hyg & Trop Med, London WC1E 7HT, England

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2005年 / 70卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

non-autonomous systems; stability analysis; thresholds; dengue; epidemics;

D O I：

10.1016/j.matcom.2005.06.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A non-autonomous system is proposed to model the seasonal pattern of dengue fever. We found that an approximate threshold condition for infection persistence describes all possible behaviors of the system. As far as we know, the kind of analysis here proposed is entirely new. No precise mathematical theorems are demonstrated but we give enough numerical evidence to support the conclusions. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：149 / 158

页数：10