An optimal control strategy to reduce the spread of malaria resistance

Fatmawati, Hengki Tasman

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

Abstract

The model also incorporates mass treatment and insecticide as control strategies. We consider the sensitive and resistant strains of malaria parasites in human and mosquito populations. First, we investigated the existence and stability of equilibria of the model without control based on two basic reproduction ratios corresponding to the strains. Then, the Pontryagins Maximum Principle is applied to derive the necessary conditions for optimal control. Simulation results show the effectiveness of the optimal control to reduce the number of infected hosts and vectors.

Original languageEnglish
Pages (from-to)73-79
Number of pages7
JournalMathematical Biosciences
Volume262
Issue numberC
DOIs
Publication statusPublished - 1 Jan 2015

Keywords

  • Basic reproduction ratio
  • Malaria resistance
  • Mathematical model
  • Optimal control

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