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Journal of Applied Mathematics and Computing

Erschienen in:

01.11.2022 | Original Research

Dynamic analysis and bifurcation control of a fractional-order cassava mosaic disease model

verfasst von: Caihong Song, Ning Li

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 2/2023

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Abstract

In this paper, a fractional-order model including healthy cassava, infected cassava, and infected vectors is proposed to study the transmission dynamics of cassava mosaic disease. Firstly, the non-negativity and boundedness of the solutions in the system and the stability of all feasible equilibrium points of the system are strictly discussed. Hopf bifurcation induced by the disease transmission rate from the vectors to the healthy cassava is studied for the proposed system. Secondly, a novel periodic pulse feedback controller is proposed to suppress the bifurcation phenomenon. The expression of the bifurcation point of the controlled system is given with the help of the linearized average system. It is shown that the stability performance is extremely excellent with the help of the proposed controller and that the control effect is independent of pulse width. Numerical simulations are performed to validate the theoretical results.

Vorheriger Artikel Uniformly convergent finite difference methods for singularly perturbed parabolic partial differential equations with mixed shifts

Nächster Artikel Fixed point iterative methods for solving the nonlinear matrix equation

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Titel: Dynamic analysis and bifurcation control of a fractional-order cassava mosaic disease model
verfasst von: Caihong Song
Ning Li
Publikationsdatum: 01.11.2022
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 2/2023
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-022-01809-9

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