An Optimal Control Approach to Malaria Prevention via Insecticide-Treated Nets

Table 1

Parameter values.

Symbol	Description	Value
Λℎ	Recruitment rate in humans	10^3/(70×365)
Λ𝑣	Recruitment rate in mosquitoes	10^4/21
𝜇ℎ	Natural mortality rate in humans	1/(70×365)
𝛿ℎ	Disease induced mortality rate in humans	10^−3
𝑏	Proportion of treated net usage	0.25; 0.3; 0.4; 0.5; 0.6; 0.7; 0.75
𝛾ℎ	Recovery rate of infected humans to be susceptible	1/4
𝜇𝑣1	Natural mortality rate of mosquitoes	1/21
𝜇max𝑏	Mortality rate of mosquitoes due to treated net	1/21
𝛽max	Maximum mosquito-human contact rate	0.1
𝑝1	Probability of disease transmission from mosquito	1
𝑝2	Probability of disease transmission from human to mosquito	1
𝐴1	Weight constant on infected humans	25
𝐶	Weight constant on control	50
𝑆ℎ(0)	Susceptible individuals initial value	800
𝐼ℎ(0)	Infected individuals initial value	200
𝑆𝑣(0)	Susceptible vectors initial value	4000
𝐼𝑣(0)	Infectious vectors initial value	900