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Study of a fractional‐order model of chronic wasting disease
Author(s) -
Maji Chandan,
Mukherjee Debasis,
Kesh Dipak
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6225
Subject(s) - mathematics , uniqueness , hopf bifurcation , chronic wasting disease , wasting , stability (learning theory) , order (exchange) , bifurcation , mathematical analysis , disease , nonlinear system , medicine , economics , computer science , prion protein , physics , finance , pathology , quantum mechanics , machine learning , scrapie , endocrinology
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.