Dengue infection model with temperature and the biting of aedes aegypti and ades albopictus in thailand

Abstract

Dengue is the transmission disease occurred by biting of infected Aedes aegypti and infected Aedes albopictus. The temperature of each area influences to the transmission of this disease. In this paper, we describe the transmission of this disease by using mathematical model. We separate the human population into susceptible, exposed, infectious and recovered classes. The vector population is divided into Aedes aegypti and Aedes albopictus. The mosquito population is separated into susceptible, exposed and infectious classes. We analyzed our mathematical model by finding the equilibrium points and determined the stability of each steady state. The numerical solutions are shown. The difference of temperatures is shown to describe the behaviors of human and vector populations. From the results, we will see that the temperature influences to the transmission of dengue disease.