Table 1. Model parameters and their values (defaults and ranges explored for parameter sensitivity are listed).

Rates are in units of per day unless otherwise indicated.

Symbol	Description	Default (Range)
ϕV	Vector birth rate	1500 (100, 5000)
μV	Vector mortality rate	14−1 (14−1, 14−1 + 2.5−1)
r	Rate at which a host gets bitten by a vector	$\frac{b}{H_T}$
b	Biting rate per vector	0.15 (0.05, 0.5)
σV	Parasite incubation rate in vector (1/EIP)	14−1 (30−1, 2−1)
PHV	Pre-sensitisation probability upon contact	0.1 (0, 1)
HT	Total number of hosts	$H_S+H_S^{\prime }+H_I+H_I^{\prime }+H_R$, 1000
θH′	Rate of loss of immune pre-sensitisation through saliva pre-exposure effect	0 (0, 14−1)
THV	Transmission probability from vector to naïve host	0.5
TH′V	Transmission probability from vector to pre-sensitised host	0.5 (0.05, 0.5)
TVH	Transmission probability from naïve host to vector	0.5
TVH′	Transmission probability from pre-sensitised host to vector	0.5 (0.05, 0.5)
γH	Recovery rate with acquired immunity of naïve hosts	60−1 (150−1, 20−1)
γH′	Recovery rate with acquired immunity of pre-sensitised hosts	$\frac{{\gamma }_H}{5}$ ($\frac{{\gamma }_H}{5}$, 2γH)
τH	Rate of loss of acquired immunity	2 years−1 (10 years−1, $\frac{1}{2}{\text{year}}^{-1}$)