In this paper, we formulate a mathematical model of vector-borne disease dynamics. The modelis constructed by considering two models : a baseline model of vector population dynamics due to Lutambiet al. that takes into account the development of the aquatic stages and the female mosquitoes gonotrophiccycle and an SI-SIR model describing the interaction between mosquitoes and human hosts. We briefly studythe baseline model of vectors dynamics and, for the transmission model, we explicitly compute the equilib-rium points, and by using the method of Van den Driesshe and J. Watmough, we derive the basic reproductionnumberR0. Otherwise, thanks to Lyapunov’s principle, Routh-Hurwitz criteria and a favorable result due toVidyasagar, we establish the local and global stability results of the equilibrium points. Furthermore, we es-tablish an interesting relationship between the mosquito reproduction numberRvand the basic reproductionnumberR0. It then follows that aquatic stages and behavior of adult mosquitoes have a significant impact ondisease transmission dynamics. Finally, some numerical simulations are carried out to support the theoreti-cal findings of the study

Mathematical model mosquito population onotropic cycle vector-borne disease dynamics basic reproduction number Lyapunov principle numerical simulations