Analysis of a diffusive epidemic system with spatial heterogeneity and lag effect of media impact.
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.
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
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