Travelling Waves of a Diffusive Epidemic Model with Latency and Relapse | Zendy

Zhiping Wang | Zendy; Rui Xu | Zendy

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Travelling Waves of a Diffusive Epidemic Model with Latency and Relapse

Author(s) -

Zhiping Wang,

Rui Xu

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/869603

Subject(s) - traveling wave , latency (audio) , epidemic model , fixed point theorem , stability (learning theory) , mathematics , diffusion , reaction–diffusion system , statistical physics , mathematical analysis , physics , computer science , demography , quantum mechanics , sociology , population , telecommunications , machine learning

An SEIR epidemic model with relapse and spatial diffusion is studied. By analyzing the corresponding characteristic equations, the local stability of each of the feasible steady states to this model is discussed. The existence of a travelling wave solution is established by using the technique of upper and lower solutions and Schauder's fixed point theorem. Numerical simulations are carried out to illustrate the main results

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