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Differential Susceptibility SIR Epidemic Model with Time Delay and Pulse Vaccination

Zhao Zhong

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Abstract

Differential susceptibility SIR epidemic models with time delay and pulse vaccination is studied in this paper.We show that there exists an infection-free periodic solution by using the comparison method,which is globally attractive provided that R1 1,and that R2 1 implies the disease is permanent,which means that after some period of time the disease will become endemic.

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What this paper is about

Differential susceptibility SIR epidemic models with time delay and pulse vaccination is studied in this paper.We show that there exists an infection-free periodic solution by using the comparison method,which is globally attractive provided that R1 1,and that R2 1 implies the disease is permanent,which means that after some period of time the disease will become endemic.

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Available abstract

Differential susceptibility SIR epidemic models with time delay and pulse vaccination is studied in this paper.We show that there exists an infection-free periodic solution by using the comparison method,which is globally attractive provided that R1 1,and that R2 1 implies the disease is permanent,which means that after some period of time the disease will become endemic.

Key concepts: Epidemic model, Mathematics, Vaccination, Pulse (music), Differential (mechanical device), Applied mathematics, Delay differential equation, Differential equation

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