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Research Article | Open Access

Codimension-two bifurcation analysis at an endemic equilibrium state of a discrete epidemic model

Abdul Qadeer Khan1( ), Tania Akhtar1, Adil Jhangeer2,3, Muhammad Bilal Riaz3,4
Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan
Department of Mathematics, Namal University, Mianwali, Pakistan
IT4Innovations, VSB-Technical University of Ostrava, Ostrava, Czech Republic
Department of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon
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Abstract

In this paper, we examined the codimension-two bifurcation analysis of a two-dimensional discrete epidemic model. More precisely, we examined the codimension-two bifurcation analysis at an endemic equilibrium state associated with 1 : 2, 1 : 3 and 1 : 4 strong resonances by bifurcation theory and series of affine transformations. Finally, theoretical results were carried out numerically.

Keywords

codimension-two bifurcationstrong resonancesnumerical simulationepidemic modelaffine transformations
CLC number: 40A05, 70K50, 92D25

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AIMS Mathematics
Volume 9 Issue 5,
May 2024
Pages 13006-13027
DOI: 10.3934/math.2024634

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Cite this article:
Khan AQ, Akhtar T, Jhangeer A, et al. Codimension-two bifurcation analysis at an endemic equilibrium state of a discrete epidemic model. AIMS Mathematics, 2024, 9(5): 13006-13027. https://doi.org/10.3934/math.2024634

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Received: 20 January 2024
Revised: 04 March 2024
Accepted: 20 March 2024
Published: 15 May 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)