Abstract: “Dengue disease is still a serious problem in many tropical countries which risks nearly 40% of the world population. There are some intervention programs to eliminate the disease, however they seem unsuccessful so far. Many creative solutions are explored to overcome the disease since some conventional solution, such as spraying the mosquitoes with insecticides, have created more problems (e.g. resistance to the drug). The introduction of wolbachia-infected mosquitoes into the wild Aedes aegypti population is among the new method to control the transmission of the disease. In this paper we develop a mathematical model to investigate the possibility of non coexistence of these two mosquitoes populations. The analysis of the model shows that the introduction of wolbachia-infected mosquitoes is promising, since it can replace the natural population once they are release into the wild”

Keywords: dengue, Aedes aegypti, wolbachia-infected, coexistence equilibrium, competitive-exclusion equilibrium.