On the nonlinear stability of an epidemic SEIR reaction-diffusion model

被引：23
作者：
Capone F. [1 ]
de Cataldis V. [1 ]
de Luca R. [1 ]
机构：
[1] Department of Mathematics and Applications R. Caccioppoli, University of Naples Federico II, Complesso Universitario Monte S. Angelo, Via Cinzia
来源：
Ricerche di Matematica | 2013年 / 62卷 / 1期
关键词：
Absorbing sets; Epidemic models; Lyapunov direct method; Reaction-diffusion systems; Stability;
D O I：
10.1007/s11587-013-0151-y
中图分类号：
学科分类号：
摘要：
This paper deals with a reaction-diffusion SEIR model for infections. The longtime behaviour of the solutions is analyzed and, in particular, absorbing sets in the phase space are determined. By using a peculiar Lyapunov function, the nonlinear asymptotic stability of endemic equilibrium is investigated. © 2013 Università degli Studi di Napoli "Federico II".
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页码：161 / 181
页数：20
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