Mathematical Methods in the Applied Sciences · 2015 · 34 citations · 16 references
Veterinary MedicineInfectious DiseasesMicrobiologyCompartmental AnalysisCompartmental ModelingInfectious Disease EpidemiologyCompartmental Model SimulationDisease ModelingDisease SpreadInfectious Disease DynamicsPopulation Dynamics ModelingTransmission DynamicsCompartmental Disease ModelsEpidemic ModelsEpidemic Population DynamicsEpidemiological Compartment ModelsInfectious Disease ModelsLocal StabilityMathematical Modeling Of DiseaseMathematical Modeling Of Epidemics
In this paper, we analyze a modification of a compartmental model for Ebola disease previously introduced in the literature. For this initial model, the basic reproduction number is obtained. Moreover, a new dimensionless model is introduced. For this new model, we analyze the local stability and obtain the basic reproduction number. Finally, a fractional analogue of the dimensionless model is presented. Some numerical experiments are also included. Copyright © 2015 John Wiley & Sons, Ltd.
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