An Epidemiological Model of Rift Valley Fever with Spatial Dynamics

Table 1

Biological meaning of model parameters.

Parameter	Description	Unit
𝛽12𝑝	Adequate contact rate from Aedes to livestock on patch 𝑝	1/day
𝛽21𝑝	Adequate contact rate from livestock to Aedes on patch 𝑝	1/day
𝛽23𝑝	Adequate contact rate from livestock to Culex on patch 𝑝	1/day
𝛽32𝑝	Adequate contact rate from Culex to livestock on patch 𝑝	1/day
1/𝑑1𝑝	Lifespan of Aedes mosquitoes on patch 𝑝	Day
1/𝑑2𝑝	Lifespan of livestock on patch 𝑝	Day
1/𝑑3𝑝	Lifespan of Culex mosquitoes on patch 𝑝	Day
𝑏1𝑝	Number of Aedes eggs laid per day on patch 𝑝	1/day
𝑏2𝑝	Daily birthrate of livestock on patch 𝑝	1/day
𝑏3𝑝	Number of Culex eggs laid per day on patch 𝑝	1/day
𝐾2𝑝	Carrying capacity of livestock on patch 𝑝	Heads
1/𝜀1𝑝	Incubation period in Aedes mosquitoes on patch 𝑝	Day
1/𝜀2𝑝	Incubation period in livestock on patch 𝑝	Day
1/𝜀3𝑝	Incubation period in Culex mosquitoes on patch 𝑝	Day
1/𝛾2𝑝	Infectiousness period in livestock on patch 𝑝	Day
1/𝜇2𝑝	RVF mortality rate in livestock on patch 𝑝	1/day
𝑞1𝑝	Transovarial transmission fraction in Aedes on patch 𝑝	Proportion
1/𝜃1𝑝	Development time of Aedes on patch 𝑝	Day
1/𝜃3𝑝	Development time of Culex on patch 𝑝	Day
𝑚1𝑝𝑞	Travel rate of Aedes mosquitoes from patch 𝑝 to patch 𝑞	1/day
𝑚2𝑝𝑞	Travel rate of livestock from patch 𝑝 to patch 𝑞	1/day
𝑚3𝑝𝑞	Travel rate of Culex mosquitoes from patch 𝑝 to patch 𝑞	1/day