Hopf bifurcation for an SIR model with age structure

This paper deals with an SIR model age structure of infected individuals. We formulate the as abstract non-densely defined Cauchy problem and derive conditions for existence all feasible equilibrium points system. The criteria both stability instability involving system parameters are obtained. Bifurcation analysis indicates that exhibits Hopf bifurcation which is main result this paper. Finally, some numerical examples provided to illustrate our obtained results.