Modeling and Control of Zoonotic Cutaneous Leishmaniasis

Abstract

This work focuses on mathematical modeling and control of Zoonotic Cutaneous Leishmania. The model includes human, reservoir and vector populations. Using next generation matrix threshold condition, R0, for initial rate of transmission of the infection is obtained. After biological interpretation of R0, its sensitivity analysis is conducted. On the basis of sensitivity analysis some strategies are proposed for elimination of the disease. The strategies quantify the relation between the elimination periods and the interventions opted. For validation of the results we use Runge-Kutta method in our numerical simulations.