Open AccessThe impact of media on the spatiotemporal pattern dynamics of a reaction-diffusion epidemic model
Author(s) -
Xin-You Meng,
Tao Zhang
Publication year - 2020
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2020223
Subject(s) - reaction–diffusion system , diffusion , epidemic model , dynamics (music) , turing , manifold (fluid mechanics) , statistical physics , state (computer science) , mathematics , physics , computer science , mathematical analysis , demography , algorithm , sociology , thermodynamics , engineering , mechanical engineering , population , acoustics , programming language
In this paper, a reaction-diffusion SI epidemic model with media impact is considered. The boundedness of system and the existence of the state are given. The local stabilities of the endemic states are analyzed. Sufficient conditions of the occurrence of the Turing pattern are obtained by the center manifold theorem and normal form method. Some numerical simulations are given to check in the theoretical results. We find that the influence of media not only inhibits the spread of infectious diseases, but also effects the spatial steady-state of model.