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Stability analysis of a fractional‐order delay dynamical model on oncolytic virotherapy
Author(s) -
Singh Hitesh K.,
Pandey Dwijendra N.
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.6836
Subject(s) - mathematics , hopf bifurcation , integer (computer science) , order (exchange) , oncolytic virus , stability (learning theory) , fractional calculus , bifurcation , virus , physics , computer science , virology , finance , quantum mechanics , nonlinear system , machine learning , economics , biology , programming language
In this manuscript, the main objective is to introduce the derivatives of fractional‐order into a delayed dynamical model of oncolytic virotherapy. The system consists of populations of infected cells, uninfected cells, and virus particles. The local asymptotic stability of all the equilibrium points is discussed by analyzing the corresponding characteristic polynomials. The existence of Hopf bifurcation is shown due to the effect of delay. The fractional‐order dynamical system is compared with the integer order counterpart. Numerical simulations are also carried out to verify how the fractional‐order model is more stable than its integer‐order counterpart and fractional‐order parameter can be used to pacify the effect of delay.