Discrete-time COVID-19 epidemic model with chaos, stability and bifurcation

• Published in: Results in physics Vol. 43; p. 106038
• Main Authors: Al-Basyouni, K.S., Khan, A.Q.
• Format: Journal Article
• Language: English
• Published: Netherlands Elsevier B.V 01-12-2022; The Authors. Published by Elsevier B.V; Elsevier
• Subjects: Bifurcation; Chaos; COVID-19 model; Explicit criterion; Numerical simulation; 70K50; Explicit criterion; Chaos; 39A10; 92D25; 35B35; Bifurcation; 40A05; Numerical simulation; COVID-19 model
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2022.106038

In this paper, we explore local behavior at fixed points, chaos and bifurcations of a discrete COVID-19 epidemic model in the interior of R+5. It is explored that for all involved parametric values, COVID-19 model has boundary fixed point and also it has an interior fixed point under certain parametric condition(s). We have investigated local behavior at boundary and interior fixed points of COVID-19 model by linear stability theory. It is also explored the existence of possible bifurcations at respective fixed points, and proved that at boundary fixed point there exists no flip bifurcation but at interior fixed point it undergoes both flip and hopf bifurcations, and we have explored said bifurcations by explicit criterion. Moreover, chaos in COVID-19 model is also investigated by feedback control strategy. Finally, theoretical results are verified numerically.
•Investigation of equilibrium solution of COVID-19 epidemic model.•Study of linearized form of COVID-19 epidemic model.•Study of local behavior at equilibria of the model.•Bifurcation analysis at equilibria of COVID-19 model.•Study of chaos by state feedback method.•Verification of theoretical results numerically.