Abbes A, Ouannas A, Shawagfeh N, Grassi G. The effect of the Caputo fractional difference operator on a new discrete COVID-19 model.
RESULTS IN PHYSICS 2022;
39:105797. [PMID:
35818497 PMCID:
PMC9259007 DOI:
10.1016/j.rinp.2022.105797]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 03/22/2022] [Revised: 06/27/2022] [Accepted: 07/04/2022] [Indexed: 06/15/2023]
Abstract
This study aims to generalize the discrete integer-order SEIR model to obtain the novel discrete fractional-order SEIR model of COVID-19 and study its dynamic characteristics. Here, we determine the equilibrium points of the model and discuss the stability analysis of these points in detail. Then, the non-linear dynamic behaviors of the suggested discrete fractional model for commensurate and incommensurate fractional orders are investigated through several numerical techniques, including maximum Lyapunov exponents, phase attractors, bifurcation diagrams and C 0 algorithm. Finally, we fitted the model with actual data to verify the accuracy of our mathematical study of the stability of the fractional discrete COVID-19 model.
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