A mathematical model for endemic malaria with variable human and mosquito populations

A deterministic differential equation model for endemic malaria involving v ariable human and mosquito populations is analysed. Conditions are derived for the existence of endemic and disease-free equilibria. A threshold param eter (R) over tilde (0) exists and the disease can persist if and only if ( R) over tilde (0) exceeds 1. The disease-free equilibrium always exist and is globally stable when (R) over tilde (0) is below 1. Numerical simulation s show that the endemic equilibrium, when it exists, is unique and is globa lly stable. (C) 2000 Elsevier Science Ltd. All rights reserved.