A SIS Epidemic Model with Eventual Impulsive Effects

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Abstract:

This paper studies a time-varyingSIS(i.e.containing susceptible and infected populations) propagation disease model exhibiting a nonlinear incidence rate and impulsive eventual culling of both populations so that the individuals recover with no immunity to the disease. The nonlinear incidence rate consists of two time-varying additive terms proportional to the susceptible and infected populations normalized to the total population.

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666-674

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September 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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