Optimal (Control of) Intervention Strategies for Malaria Epidemic in Karonga District, Malawi

Table 3

Parameters variables of the malaria model.

Symbol	Description
Λℎ	Recruitment rate of individuals by birth
𝜅1	Proportion of exposed immigrants into exposed class
𝜃	Proportion of people migrating into Karonga District
𝜇ℎ	Per capita natural death rate of humans
𝜇𝑣	Per capita natural death rate of mosquitoes
𝛿ℎ	Per capita disease induced death rate for humans
𝛼ℎ	Progression rate of humans from exposed state to the infectious state
𝛽𝑣ℎ	Probability that a bite results in transmission of infection to human
𝛽ℎ𝑣	Probability that a bite results in transmission of the parasite from an infectious human to the susceptible mosquitoes
𝜗	Biting rate of mosquito
𝜆ℎ	Force of infection for susceptible humans to exposed individuals
𝜆𝑣	Force of infection for susceptible mosquitoes to exposed mosquito class
𝜌	Per capita rate of recovery with temporary immunity
𝜙	Proportion of spontaneous individual recovery
𝜓	Per capita rate of loss immunity
𝛼𝑣	Progression of exposed mosquitoes into infected mosquitoes