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

  • Authors:

  • G.A Ngwa;W.S Shu

  • Affiliations:

  • The Abdus Salam ICTP Trieste, Italy;Department of Computer Science University of Essex, UK

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2000

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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.