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Dynamics in a Class of Discrete Sir Epidemic Model
In this paper, we propose a class of discrete SIR epidemic model. The dynamical behaviors of a discrete-time epidemic model are investigated. The equilibrium points are obtained and stability of the equilibrium points is analyzed. The phase portraits are obtained for different sets of parameter values. Numerical simulations are performed and they capture the rich dynamics of the discrete model.
Keywords
SIR Model, reproductive number, difference equations
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