Journals Proceedings

Abstract

Chikungunya and dengue are re-emerging diseases which are transmitted by Aedes spp. mosquitoes. Although originated from a different location, as the human mobility increases a concurrent outbreak may happen in other places. A mathematical model of chikungunya and dengue transmission with a control is constructed in the framework of SEIR-SEI model. The model is expressed in the form of a 13-dimensional system of ordinary differential equations to describe the dynamics of compartments within human and mosquito populations. We find three equilibrium points and discuss its stability. By using the next generation matrix, we obtain two thresholds represent the basic reproduction number that related to chikungunya and dengue. We show that although there is no coexistence equilibrium, the two diseases could coexist for a relatively long period of time. In terms of control, we investigate the effect of fumigation treatment as a constant parameter in the model. Our analysis and simulation results show that with a proper selection of treatment we can reduce the intensity of transmission of both diseases