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Analysis of a fractional order eco‐epidemiological model with prey infection and type 2 functional response
60
Citations
17
References
2017
Year
Prey InfectionInfectious Disease ModellingDynamic EquilibriumInfectious Disease EcologyFractional-order SystemFunctional ResponsePredator-prey InteractionType 2Fractional OrderDisease EcologyDisease TransmissionFractional Order SystemEpidemiologyFractional DynamicStability
In this paper, we introduce fractional order into an ecoepidemiological model, where predator consumes disproportionately large number of infected preys following type 2 response function. We prove different mathematical results like existence, uniqueness, nonnegativity, and boundedness of the solutions of fractional order system. We also prove the local and global stability of different equilibrium points of the system. The results are illustrated with several examples.
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