Dynamics and Biocontrol: The Indirect Effects of a Predator Population on a Host-Vector Disease Model

Table 1

Definition of parameters and values used in simulations (time unit is selected as day).

Parameter	Description	Estimated value/range	Resource
𝜇	Natural death rate of plants	0.003	[38]
𝑑	Disease-induced mortality rate of plants	0.003	[38]
𝑏1	Per capita rate of contacts on plant hosts by vectors	1	Assumed
𝛼	The disease transmission probability from infected plant hosts to uninfected vectors; (=the acquisition rate of virus)	0.008	[38]
𝛽	The disease transmission probability from infected vectors to uninfected plants; (=the inoculation rate of virus)	0.008	[38]
𝑀	Vector carrying capacity	50	Assumed
𝐾	Total plant population	20	Assumed
𝑟	Intrinsic birth rate of vectors	0.2	[38]
𝑤	Natural death rate of vectors	0.12	[38]
𝑏	Natural birth rate of vectors	0.32	[38]
ℎ	Prey searching rate	0.1–0.65	Assumed
𝑎	Predator’s satiety rate	0.01–0.03	Assumed
𝛾	Predator’s conversation factor	0.15	[46]
𝑒	Predator’s mortality rate	0.1	[46]