MATHEMATICAL ANALYSIS OF THE TRANSMISSION DYNAMICS OF MALARIA IN THE PRESENCE OF MOSQUITO TRAP

Here we model the transmission dynamics of malaria in the presence of mosquito trap. The model based on some relevant assumptions, is a simple system of five ordinary differential equations, devoid of the exposed classes of both human and mosquito populations and including a compartment of trapped mosquitoes. We analyze the system considering its mathematical and biological relevance by considering its positivity, existence and uniqueness conditions. The basic reproduction,  was derived and a simple sensitivity analysis was carried out to determine the most sensitive parameter. The results reveal the ‘Trap effectiveness’ as the most important parameter. We carried out numerical simulations using MATLAB ode45 Routine Solver and both analytical and numerical results affirm the local and global stability of the disease free equilibrium point based on the threshold parameter, showing stability for R0 < 1 and instability for R0 > 1 .