Mathematical Approach for the Dengue Fever Transmission Dynamics

The mathematical model governing ordinary differential system for the dengue fever is considered. Basic reproduction number, $R_{0}$, is achieved, $R_{0} > 1$ implies the disease will transfer and continue in human population and $R_{0} < 1$ implies the disease will vanish. Non linear behavior of the model is studied by using bifurcation technique. For endemic and epidemic cases of the disease, some numerical simulations have been presented for the state variables, infected and susceptible humans. The modeling and simulation results are biologically meaningful.