TY - JOUR
T1 - Optimal insecticide-treated bed-net coverage and malaria treatment in a malaria-HIV co-infection model
AU - Mohammed-Awel, Jemal
AU - Numfor, Eric
N1 - Publisher Copyright:
© 2016 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.
PY - 2017/3/17
Y1 - 2017/3/17
N2 - 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.
AB - 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.
KW - Malaria-HIV co-infection
KW - insecticide-treated nets
KW - malaria control
KW - optimalcontrol
KW - treatment
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U2 - 10.1080/17513758.2016.1192228
DO - 10.1080/17513758.2016.1192228
M3 - Article
C2 - 27267616
AN - SCOPUS:85014801871
SN - 1751-3758
VL - 11
SP - 160
EP - 191
JO - Journal of biological dynamics
JF - Journal of biological dynamics
ER -