The Role of Hyalomma Truncatum on the Dynamics of Rift Valley Fever: Insights from a Mathematical Epidemic Model.

摘要: To date, our knowledge of Rift Valley fever (RVF) disease spread and maintenance is still limited, as flooding, humid weather presence biting insects such mosquitoes, have not completely explained RVF outbreaks. We propose a model that includes livestock, mosquitoes ticks compartments structured according to their questing feeding behaviour in order study the possible role on dynamics RVF. quantify transmission at initial stage epidemic, we derive an explicit formula basic reproductive number, [Formula: see text]. Using concept Metzler matrix, state necessary conditions for global asymptotic stability disease-free equilibrium. Results suggest although host-ticks interactions may serve reservoirs or amplifiers, Aedes number should be kept under unity if post-epizootics activities are controlled. both local sensitivity analysis selected parameters indicate text] more sensitive attachment detachment rates, probability from host ticks, length infection livestock death rate. Furthermore, when comparing mean value with previous studies which did include found very much larger resulting increase exponential phase outbreak. These findings capable transmitting virus, they contributing outbreaks endemicity.