Malaria model with immigration of infectives and seasonal forcing in transmission

Christinah Chiyaka, Godfrey Musuka, Gesham Magombedze, Zindoga Mukandavire

Research output: Contribution to journalArticle

Abstract


A mathematical model of malaria transmission with the inflow of infective immi-
grants is presented. The epidemic threshold, existence of equilibria as well as permanence criteria of the model are investigated. The model is extended to incorporate and analyse the effects of seasonality in the transmission rates. Finally numerical analysis is carried out to determine the behaviour of the models under different scenarios.
Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalInternational Journal of Applied Mathematics and Computation
Volume2
Issue number3
Publication statusPublished - 2010

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Keywords

  • Immigrants;
  • Stability
  • Permanence
  • Seasonality

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