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2012•Shuxue de shijian yu renshiRequires access

Global Stability of the Positive Equilibrium of a SEIS Model with Infectious Force in Latent Period

Hui Zhang

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Abstract

A SEIS epidemic model with infective force in both latent period and infected period,which has different general saturated contact rate Ci(iV) and Ca(iV),is studied and the basic reproductive number Ro is obtained.By using orbital stability of periodic orbits and Poincare-Bendixson property theory,it is proved that the positive equilibrium P~* is globally asymptotically stable in ■ if Ro 1,and the disestse spreads to the endemic.

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What this paper is about

A SEIS epidemic model with infective force in both latent period and infected period,which has different general saturated contact rate Ci(iV) and Ca(iV),is studied and the basic reproductive number Ro is obtained.By using orbital stability of periodic orbits and Poincare-Bendixson property theory,it is proved that the positive equilibrium P~* is globally asymptotically stable in ■ if Ro 1,and the disestse spreads to the endemic.

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Available abstract

A SEIS epidemic model with infective force in both latent period and infected period,which has different general saturated contact rate Ci(iV) and Ca(iV),is studied and the basic reproductive number Ro is obtained.By using orbital stability of periodic orbits and Poincare-Bendixson property theory,it is proved that the positive equilibrium P~* is globally asymptotically stable in ■ if Ro 1,and the disestse spreads to the endemic.

Key concepts: Stability theory, Basic reproduction number, Mathematics, Stability (learning theory), Period (music), Epidemic model, Poincaré conjecture, Applied mathematics

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