Transmission Dynamics of Lymphatic Filariasis: A Mathematical Approach

Table 1

Model parameters and their interpretations.

Definition	Symbol	Units	Point estimate	Range	Source
Mosquito recruitment rate	Λ𝑚	Mosquitoes/day	4.227⋅10^4	—	a*
Mosquito mortality rate	𝜇𝑚	1/day	3.623	0.01–5.0	a*
Average number of mosquito bites which cause transmission of disease from infected human to susceptible mosquito	𝛽ℎ	1/day	3.576	1.52–5	a*
Modification parameter	𝜃ℎ	—	0.25	0.125–1	Assumed
Human recruitment rate	Λℎ	Humans/day	0.0024⋅2⋅10^4	—	a*
Human mortality rate	𝜇ℎ	1/day	0.00048	0–0.25	a*
Average number of mosquito bites which cause transmission of disease from infectious mosquito to susceptible human per mosquito	𝛽𝑚	1/day	0.091	0.01–0.75	a*
Treatment rate	𝛼	1/day	0.125	0.1–0.75	Assumed
Per capita rate of progression of human from the exposed class to the infectious class	ρ	1/day	0.01	0–0.25	Assumed

a* denotes parameter values from Labadin et al., [25].