A Delayed Epidemic Model with Pulse Vaccination | Zendy

Chunjin Wei | Zendy; Lansun Chen | Zendy

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A Delayed Epidemic Model with Pulse Vaccination

Author(s) -

Chunjin Wei,

Lansun Chen

Publication year - 2008

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2008/746951

Subject(s) - epidemic model , vaccination , impulse (physics) , pulse (music) , nonlinear system , mathematics , control theory (sociology) , medicine , computer science , physics , virology , artificial intelligence , telecommunications , classical mechanics , detector , population , control (management) , environmental health , quantum mechanics

A delayed SEIRS epidemic model with pulse vaccination and nonlinear incidence rate is proposed. We analyze the dynamical behaviors of this model and point out that there exists an infection-free periodic solution which is globally attractive if R1<1, R2>1, and the disease is permanent. Our results indicate that a short period of pulse or a large pulse vaccination rate is the sufficient condition for the eradication of the disease. The main feature of this paper is to introduce time delay and impulse into SEIRS model and give pulse vaccination strategies

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