Malaria model with periodic mosquito birth and death rates

Figures & data

Figure 1. Susceptible mosquitoes bite infected humans and become infected; infected mosquitoes bite susceptible humans and these humans then become infected.

Table 1. Parameters for the malaria model.

	constant, infectivity of humans
	constant, infectivity of mosquitoes
b m	constant, man-biting rate of mosquitoes
	constant, human per capita birth rate
αh	constant, human recovery rate
βh	constant, rate of loss of immunity
	periodic mosquito per capita birth rate
μm(t)	periodic mosquito per capita death rate
μh(t)	periodic human per capita death rate

Table 2. Variables for the rescaled malaria model.

s h	proportion of susceptible individuals (humans)
i h	proportion of infected individuals
r h	proportion of recovered individuals
s m	proportion of susceptible mosquitoes
i m	proportion of infected mosquitoes

Figure 2. Human and mosquito population for the case R ₀<1.

Figure 3. Human and mosquito population for the case R ₀>1.