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THE SIQRS EPIDEMIC MODEL OF IMPULSIVE VACCINATION WITH CONSTANT INPUT AND SATURATION INCIDENCE RATE

Weijian Xu

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Abstract

This paper deals with the SIQRS epidemic model of impulsive vaccination with constant input and saturation incidence rate,and the threshold value R_0=1 is obtained at which disease is eliminated.It is proved that when R_01,the disease-free periodic solution is globally asymptotically stable,and that when R_01,the system is uniformly persistent.

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What this paper is about

This paper deals with the SIQRS epidemic model of impulsive vaccination with constant input and saturation incidence rate,and the threshold value R_0=1 is obtained at which disease is eliminated.It is proved that when R_01,the disease-free periodic solution is globally asymptotically stable,and that when R_01,the system is uniformly persistent.

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Available abstract

This paper deals with the SIQRS epidemic model of impulsive vaccination with constant input and saturation incidence rate,and the threshold value R_0=1 is obtained at which disease is eliminated.It is proved that when R_01,the disease-free periodic solution is globally asymptotically stable,and that when R_01,the system is uniformly persistent.

Key concepts: Epidemic model, Saturation (graph theory), Mathematics, Constant (computer programming), Incidence (geometry), Value (mathematics), Basic reproduction number, Applied mathematics

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