International Journal of Mathematics Trends and Technology · 2016 · 10 citations · 7 references
Veterinary MedicineInfectious DiseasesEpidemiologyInfectious Disease EpidemiologyVirologyDisease EpidemiologyInfectious Disease DynamicsPopulation Dynamics ModelingTransmission DynamicsVector Population DynamicsViral EpidemiologyEndemic DynamicsEndemic StabilityEpidemic ModelsInfectious Disease ModelsMathematical Modeling Of EpidemicsMathematical Modeling Of Viral SpreadRecovery TimeTransmission Dynamics Modeling
Most Mathematical model for Ebola virus in the literature had only the human population. This paper is an attempt to incorporate the host population which will give a clearer view of the transmission dynamics of the deadly disease. The disease free and endemic equilibrium of the model were obtained and analyzed for stability, . Key to our analysis is the basic reproductive number 0 R which is the number of secondary infections that one infective individual would create over the duration of the infectious period provided that everyone else is susceptible. We computed a numerical value for 0 R and conducted a sensitivity analysis of its parameters. Our results reveal that quarantine of infected individual’s speeds up recovery time.
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