Your browser doesn't support javascript.
Analysis of a diffusive epidemic system with spatial heterogeneity and lag effect of media impact.
Song, Pengfei; Xiao, Yanni.
  • Song P; Department of Applied Mathematics, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, PR China.
  • Xiao Y; Department of Applied Mathematics, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, PR China. yxiao@mail.xjtu.edu.cn.
J Math Biol ; 85(2): 17, 2022 08 01.
Article in English | MEDLINE | ID: covidwho-2014119
ABSTRACT
We considered an SIS functional partial differential model cooperated with spatial heterogeneity and lag effect of media impact. The wellposedness including existence and uniqueness of the solution was proved. We defined the basic reproduction number and investigated the threshold dynamics of the model, and discussed the asymptotic behavior and monotonicity of the basic reproduction number associated with the diffusion rate. The local and global Hopf bifurcation at the endemic steady state was investigated theoretically and numerically. There exists numerical cases showing that the larger the number of basic reproduction number, the smaller the final epidemic size. The meaningful conclusion generalizes the previous conclusion of ordinary differential equation.
Subject(s)
Keywords

Full text: Available Collection: International databases Database: MEDLINE Main subject: Epidemics / Models, Biological Type of study: Experimental Studies Language: English Journal: J Math Biol Year: 2022 Document Type: Article

Similar

MEDLINE

...
LILACS

LIS


Full text: Available Collection: International databases Database: MEDLINE Main subject: Epidemics / Models, Biological Type of study: Experimental Studies Language: English Journal: J Math Biol Year: 2022 Document Type: Article