Analysis of Malaria Control Measures’ Effectiveness Using Multistage Vector Model

We analyze an epidemiological model to evaluate the effectiveness of multiple means of control in malaria-endemic areas. The mathematical model consists of a system of several ordinary differential equations and is based on a multi-compartment representation of the system. The model takes into account the multiple resting–questing stages undergone by adult female mosquitoes during the period in which they function as disease vectors. We compute the basic reproduction number R 0 and show that if R 0 ≤ 1 , the disease-free equilibrium is globally asymptotically stable (GAS) on the nonnegative orthant. If R 0 > 1 , the system admits a unique endemic equilibrium (EE) that is GAS. We perform a sensitivity analysis of the dependence of R 0 and the EE on parameters related to control measures, such as killing effectiveness and bite prevention. Finally, we discuss the implications for a comprehensive, cost-effective strategy for malaria control.