Understanding Dengue Control for Short- and Long-Term Intervention with a Mathematical Model Approach

Table 1

Parameters values.

Parameters	Value	Description
		Total of human population is assumed to be 1000 people.
		Since human life expectation is approximately 65 years, we have [23].
		Since in our model the total of the human population is constant, we have .
		We assume that each female Aedes aegypti produces 300 eggs at each spawning.
		It is assumed that it needs 10 successful contacts to infect a human/mosquito with dengue [23].
		We assume that the effect of vaccination will have disappeared in 60 days.
		The natural recovery rate for the human population from dengue is 14 days [4].
		With vaccination, the infection rate from mosquito to human population will be reduced by 90%.
		Life expectation of the mosquito population is 30 days [4].
		We assume that there is only a 25% chance that larvae might grow and become adult mosquitoes, with time to transition being 21 days.
		Transition from aquatic phase to adult mosquito [4].
		Short-term immunity of humans to dengue after recovery is 30 days [23].
		Mosquitoes only bite once a day [23].
		We assume that the ratio between human and adult mosquitoes is 2; that is, each human related to 2 adult mosquitoes.