Abstract
This paper deals with an SIR model with age structure of infected individuals. We formulate the model as an abstract non-densely defined Cauchy problem and derive the conditions for the existence of all the feasible equilibrium points of the system. The criteria for both stability and instability involving system parameters are obtained. Bifurcation analysis indicates that the system with age structure exhibits Hopf bifurcation which is the main result of this paper. Finally, some numerical examples are provided to illustrate our obtained results.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Jiangsu Province of China
Nanjing University of Posts and Telecommunications Science Foundation
Natural Science Basic Research Plan in Shaanxi Province of China
Subject
Modeling and Simulation,Applied Mathematics
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