A non-autonomous SEIRS model with general incidence rate

被引：12
|
作者：
Mateus, Joaquim P. [1 ]
Silva, Cesar M. [2 ]
机构：
[1] Inst Politecn Guarda, P-6300559 Guarda, Portugal
[2] Univ Beira Interior, Dept Matemat, P-6201001 Covilha, Portugal
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 247卷
关键词：
Epidemic models; Non-autonomous; Stability; EPIDEMIC MODEL;
D O I：
10.1016/j.amc.2014.08.078
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a non-autonomous SEIRS model with general incidence, that admits (Kuniya and Nakata, 2012) as a very particular case, we obtain conditions for extinction and strong persistence of the infectives. Our conditions are computed for several particular settings and extend the hypothesis of several proposed non-autonomous models. Additionally we show that our conditions are robust in the sense that they persist under small perturbations of the parameters in some suitable family. We also present some simulations that illustrate our results. (C) 2014 Elsevier Inc. All rights reserved.
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页码：169 / 189
页数：21
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