The Existence of Positive Nonconstant Steady States in a Reaction: Diffusion Epidemic Model | Zendy

Yuan Yuan | Zendy; Hailing Wang | Zendy; Weiming Wang | Zendy

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The Existence of Positive Nonconstant Steady States in a Reaction: Diffusion Epidemic Model

Author(s) -

Yuan Yuan,

Hailing Wang,

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 - 10.1155/2013/921401

Subject(s) - mathematics , reaction–diffusion system , a priori and a posteriori , epidemic model , diffusion , mathematical analysis , demography , thermodynamics , physics , population , philosophy , epistemology , sociology

We investigate the disease’s dynamics of a reaction-diffusion epidemic model. We first give a priori estimates of upper and lower bounds for positive solutions to model and then give the conditions of the existence and nonexistence of the positive nonconstant steady states, which guarantees the existence of the stationary patterns

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