Table 1.

Description of parameters of model (1).

Parameters	Description
Λ	Recruitment rate for humans
dh	Natural death rate of humans
dr	Natural death rate of rodents
δs,δq,δT	Disease-induced death rates for infected human compartments
κ	Average per capita contact rate in the community
b	Transmission probability per contact
q	Quarantine rate of susceptible individuals
βm,βq,βT	Relative human-to-human transmissibilities for various compartments
βr	Rodent-to-rodent transmission rate
${\overline{\tau }}_s,{\overline{\tau }}_m,{\overline{\tau }}_q,{\overline{\tau }}_T$	Baseline value of human-to-rodent transmission rates
${\overline{\tau }}_r$	Baseline value of rodent-to-human transmission rate
θ	Proportion of asymptomatic infections
ηs,ηq	Progression rate from (Is,Iq) to IT
γm,γq,γT	Humans recovery rates
νu,νq	Humans incubation rates
ξ	Rate of relapse from Rh to Sh
rq	Rate of release from quarantine
σ	Maximum growth rate of the rodents
$\overline{K}$	Baseline value of maximal carrying capacity of rodents
a,c	Seasonality parameters