Optimal insecticide-treated bed-net coverage and malaria treatment in a malaria-HIV co-infection model.
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.
a Department of Mathematics and Computer Science , Valdosta State University , Valdosta , GA , USA.
Jemal
J
Mohammed-Awel
b Department of Mathematics , Augusta University , Augusta , GA , USA.
Eric
E
Numfor
D060085:Coinfection / Q000469:parasitology / Q000821:virology; D015658:HIV Infections / Q000469:parasitology / Q000517:prevention & control*; D006801:Humans; D057148:Insecticide-Treated Bednets; D008288:Malaria / Q000517:prevention & control* / Q000821:virology; D008954:Models, Biological; D009032:Mosquito Control
49J15; 92B05; Malaria-HIV co-infection; insecticide-treated nets; malaria control; optimalcontrol; treatment