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Table 1 Dimensionless variables and parameters (with illustrative parameter values) in system ( 1 )

From: Global dynamic analysis of a vector-borne plant disease model

Parameter Description Default value
S number of the susceptible plant hosts -
I number of the infected plant hosts -
R number of the recovered plant hosts -
K sum of the total plant hosts 50-1,000
X density of the susceptible insect vectors -
Y density of the infected insect vectors -
N sum of the total insect vectors density 50-100
β 1 infection ratio between infected hosts and susceptible vectors 0.01-0.02
β p biting rate of an infected vector on the susceptible host plants 0.01-0.02
β s infection incidence between infected and susceptible hosts 0.01-0.02
α 1 determines the level at which the force of infection saturates 0.1
α p determines the level at which the force of infection saturates 0.2
α s determines the level at which the force of infection saturates 0.2
γ the conversion rate of infected hosts to recovered hosts 0-0.25
μ natural death rate of plant hosts 0-0.1
Λ birth or immigration of insect vectors 5
m natural death rate of insect vectors 0-0.5
d disease-induced mortality of infected hosts 0.1