Modelling vertical transmission in vector-borne diseases with applications to Rift Valley fever
作者： Nakul Chitnis , James M. Hyman , Carrie A. Manore
DOI: 10.1080/17513758.2012.733427
关键词: Veterinary medicine 、 Ecology 、 Rift Valley fever 、 Biting 、 Basic reproduction number 、 Transmission (mechanics) 、 Biology 、 Vector (epidemiology) 、 Infectivity 、 Equilibrium point 、 Bifurcation analysis
摘要: We present two ordinary differential equation models for Rift Valley fever (RVF) transmission in cattle and mosquitoes. extend existing vector-borne diseases to include an asymptomatic host class vertical vectors. define the basic reproductive number, 0, analyse existence stability of equilibrium points. compute sensitivity indices 0 a reactivity index (that measures epidemicity) parameters baseline wet dry season values. is most sensitive mosquito biting death rates. The rate infectivity hosts Numerical simulations show that even with low prevalence, increases densities through higher rainfall, presence transmission, can result large epidemics. This suggests important factor size persistence RVF
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