The Dynamics of an Sis Epidemic Model with Birth Pulses and Pulse Treatments at Different Moments
نویسندگان
چکیده
The dynamical behavior of an SIS epidemic model with birth pulses and pulse treatments at different moments is discussed by means of both theoretical and numerical ways. Birth pulse, vertical transmission, and pulse treatment are considered in building model. The existence and stability of the trivial solution, infection-free periodic solution, and epidemic periodic solutions are investigated. The Poincare map and center manifold theorem are used to discuss flip bifurcation and transcritical bifurcation. Moreover, numerical results are given to verify the theoretical analysis.
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