Dynamical System of Dengue Disease Transmission Involving the Aquatic Life Cycle

Abstract

In this article, the mathematical model for dengue disease transmission involving the aquatic life cycle was studied. Further, the equilibrium points of the mathematical model developed were determined and the stability criteria were also derived. The criteria above mentioned were dependent on the basic reproduction number which was defined as the expected value of susceptible individual got infected caused by a single infected individual. The results show that the disease-free equilibrium is locally asymptotically stable when and the endemic equilibrium is locally asymptotically stable when . Numerical simulations are provided to show the dynamics of both human and mosquito populations upon changes of particular parameter values.