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A Mathematical Model for Dengue Disease with Saturation and Bilinear Incidence

Manju Agarwal, Vinay Verma

Abstract


The paper investigates the Local stability of a dengue epidemic model with saturation and bilinear incidence. The constant human recruitment rate and exponential natural death, as well as vector population with asymptotically constant population, are incorporated into the model. The model exhibits two equilibria, namely, the disease-free equilibrium (DFE) and the endemic equilibrium. The stability of these two equilibria is controlled by the threshold number R_o. It is shown that if R_o is less than one, the disease-free equilibrium is locally asymptotically stable and R_o is greater than one, the unique endemic equilibrium is locally asymptotically stable.

Keywords


host population, vector population, dengue disease, threshold number, Stability analysis, numerical simulation.

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