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Bifurcation analysis of an age‐structured epidemic model with two staged‐progressions
Author(s) -
Zhang Suxia,
Liu Yanna,
Cao Hui
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7508
Subject(s) - mathematics , bifurcation , perturbation (astronomy) , age structure , epidemic model , operator (biology) , stability (learning theory) , cauchy distribution , statistical physics , mathematical analysis , demography , nonlinear system , computer science , population , biochemistry , chemistry , physics , repressor , quantum mechanics , machine learning , sociology , transcription factor , gene
In this paper, we develop an age‐structured model with two infectious stages to study the effect of infection age on dynamic properties. By reformulating the model as a non‐densely defined Cauchy problem and applying theorem related with Hille–Yosida operator, the threshold dynamics are investigated. Theoretical analysis shows that destabilization of the age‐dependent endemic equilibrium can occur due to the perturbation of critical infection age that separates the two infectious stages. Furthermore, numerical simulations are conducted to illustrate the dynamical behaviors of stability switching.