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

A deterministic differential equation model for endemic malaria involving variable human and mosquito populations is analysed. Conditions are derived for the existence of endemic and disease-free equilibria. A threshold parameter (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 simulations show that the endemic equilibrium, when it exists, is unique and is globally stable. (C) 2000 Elsevier Science Ltd. All rights reserved.