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Study of a fractional‐order model of chronic wasting disease

Chandan Maji, Debasis Mukherjee, Dipak Kesh

2020Mathematical Methods in the Applied Sciences21 citationsDOI

Abstract

This paper studies a fractional-order modelling chronic wasting disease (CWD). The basic results on existence, uniqueness, non-negativity, and boundedness of the solutions are investigated for the considered model. The criterion for local as well as global stability of the equilibrium points is derived. A numerical analysis for Hopf-type bifurcation is presented. Finally, numerical simulations are provided to justify the results obtained.

Topics & Concepts

MathematicsUniquenessHopf bifurcationChronic wasting diseaseWastingApplied mathematicsStability (learning theory)Order (exchange)BifurcationMathematical analysisDiseaseNonlinear systemMedicineEconomicsComputer scienceEndocrinologyPhysicsPrion proteinScrapieFinanceQuantum mechanicsMachine learningPathologyFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsAnimal Virus Infections Studies