Mathematical framework for exploring malaria transmission dynamics among human and mosquito communities

Abstract

The mechanics of malaria transmission between humans and mosquitoes are examined in this article. The model used distinguishes four subclasses, or different levels of infection, in both the human and mosquito populations: persons with malaria symptoms ($I_h$), exposed to the malaria parasite ($E_h$), exposed mosquitoes ($E_m$), infectious mosquitoes ($I_m$), and three uninfected states ($S_h$), recovered persons ($R_h$), and susceptible mosquitoes ($S_m$) may all be at risk of contracting malaria. To solve the nonlinear equations, general analytical solutions are obtained by applying the Homotopy Perturbation Method. We find good agreement when comparing our approximate analytical conclusions with numerical simulations using MATLAB.