Stationary Patterns of a Cross-Diffusion Epidemic Model | Zendy

Yongli Cai | Zendy; Chi Dong-xuan | Zendy; Wenbin Liu | Zendy; Weiming Wang | Zendy

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Stationary Patterns of a Cross-Diffusion Epidemic Model

Author(s) -

Yongli Cai,

Chi Dong-xuan,

Wenbin Liu,

Weiming Wang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/852698

Subject(s) - stability (learning theory) , constant (computer programming) , diffusion , mathematics , reaction–diffusion system , basic reproduction number , epidemic model , outbreak , mathematical analysis , demography , computer science , physics , medicine , machine learning , thermodynamics , sociology , programming language , population , virology

We investigate the complex dynamics of cross-diffusion SI epidemic model. We first give the conditions of the local and global stability of the nonnegative constant steady states, which indicates that the basic reproduction number determines whether there is an endemic outbreak or not. Furthermore, we prove the existence and nonexistence of the positive nonconstant steady states, which guarantees the existence of the stationary patterns

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