Oscillation and global asymptotic stability in a discrete epidemic model

被引：59
|
作者：
Zhang, DC [1 ]
Shi, B [1 ]
机构：
[1] Naval Aeronaut Engn Acad, Dept Basic Sci, Shandong 264001, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 278卷 / 01期
关键词：
nonlinear difference equations; oscillation; global asymptotic stability;
D O I：
10.1016/S0022-247X(02)00717-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the oscillation, global asymptotic stability, and other properties of the positive solutions of the difference equation x(n+1) =(1 - Sigma(j=0)(k-1)x(n-j)) (1 - e(-Axn)), where A is an element of (0, infinity), k is an element of {2, 3....}, and the initial values x(-k+1), x(-k+2),..., x(0) are arbitrary real positive numbers such that Sigma(j=0)(k-1) x(-j) < 1. (C) 2003 Elsevier Science (USA). All rights reserved.
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页码：194 / 202
页数：9
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