• A Two-dimensional Model for the Transmission of Dengue Fever Disease
Edy Soewono and Asep K. Supriatna
Abstract. A transmission model for dengue fever is discussed here. Restricting the dynamics for the constant host and vector populations, the model is reduced to a two-dimensional planar equation. In this model the endemic state is stable if the basic reproductive number of the disease is greater than one. A trapping region containing the heteroclinic orbit connecting the origin (as a saddle point) and the endemic fixed point occurs. By the use of the heteroclinic orbit, we estimate the time needed for an initial condition to reach a certain number of infectives. This estimate is shown to agree with the numerical results computed directly from the dynamics of the populations.