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

Abstract

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