Paper Info
Title
Hopf Bifurcation Of An Age-Structured Epidemic Model With Quarantine And Temporary Immunity Effects
Abstract
In this paper, we investigate an epidemic model with quarantine and recovery-age effects. Reformulating the model as an abstract nondensely defined Cauchy problem, we discuss the existence and uniqueness of solutions to the model and study the stability of the steady state based on the basic reproduction number. After analyzing the distribution of roots to a fourth degree exponential polynomial characteristic equation, we also derive the conditions of Hopf bifurcation. Numerical simulations are performed to illustrate the results.
Year
DOI
Venue
2021
10.1142/S0218127421501832
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Age-structured epidemic model, quarantine, temporary immunity, stability, Hopf bifurcation
Journal
31
Issue
ISSN
Citations 
12
0218-1274
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Lili Liu150646.38
Jian Zhang200.34
Ran Zhang33313.46
Hongquan Sun400.34