Abstract
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 ̄ 0 exists and the disease can persist if and only if R ̄ 0 exceeds 1. The disease-free equilibrium always exist and is globally stable when R ̄ 0 is below 1. Numerical simulations show that the endemic equilibrium, when it exists, is unique and is globally stable.
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