Optimal insecticide-treated bed-net coverage and malaria treatment in a malaria-HIV co-infection model

Jemal Mohammed-Awel, Eric Numfor

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

We propose and study a mathematical model for malaria-HIV co-infection transmission and control, in which malaria treatment and insecticide-treated nets are incorporated. The existence of a backward bifurcation is established analytically, and the occurrence of such backward bifurcation is influenced by disease-induced mortality, insecticide-treated bed-net coverage and malaria treatment parameters. To further assess the impact of malaria treatment and insecticide-treated bed-net coverage, we formulate an optimal control problem with malaria treatment and insecticide-treated nets as control functions. Using reasonable parameter values, numerical simulations of the optimal control suggest the possibility of eliminating malaria and reducing HIV prevalence significantly, within a short time horizon.

Original languageEnglish (US)
Pages (from-to)160-191
Number of pages32
JournalJournal of biological dynamics
Volume11
DOIs
StatePublished - Mar 17 2017

Keywords

  • Malaria-HIV co-infection
  • insecticide-treated nets
  • malaria control
  • optimalcontrol
  • treatment

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

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