Dynamics and asymptotic profiles of steady states of an SIRS epidemic model in spatially heterogenous environment | Zendy

Baoxiang Zhang | Zendy; Yongli Cai | Zendy; Bingxian Wang | Zendy; Weiming Wang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Dynamics and asymptotic profiles of steady states of an SIRS epidemic model in spatially heterogenous environment

Author(s) -

Baoxiang Zhang,

Yongli Cai,

Bingxian Wang,

Weiming Wang

Publication year - 2019

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.2020047

Subject(s) - dynamics (music) , statistical physics , epidemic model , environmental science , physics , mathematics , demography , population , sociology , acoustics

This paper performs qualitative analysis on a reaction-diffusion SIRS epidemic system with ratio-dependent incidence rate in spatially heterogeneous environment. The threshold dynamics in the term of the basic reproduction number R 0 is established. And the asymptotic profile of endemic equilibrium is determined if the diffusion rate of the susceptible individuals is small. The results show that restricting the movement of susceptible individuals can effectively control the number of infectious individuals.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research