Modeling and Analysis of an Epidemic Model with Non-monotonic Incidence Rate under Treatment

Tapan Kumar Kar, Ashim Batabyal


An epidemic model with non-monotonic incidence rate under a limited resource for treatment is proposed to understand
the eect of the capacity for treatment. We have assume that treatment rate is proportional to the number of infective
when it is below the capacity and is a constant when the number of infective is larger than the capacity. Existence and
stability of the disease free and endemic equilibrium are investigated for both the cases. Some numerical simulations are
given to illustrate the analytical results.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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