https://doi.org/10.1140/epjp/s13360-023-04561-6
Regular Article
Bifurcation dynamical analysis of an epidemic-like SIR propagation model with Logistic growth
1
Affiliated Hospital of Jiangsu University, Jiangsu University, 210008, Zhenjiang, People’s Republic of China
2
School of Mathematical Sciences, Jiangsu University, 212013, Zhenjiang, People’s Republic of China
Received:
16
August
2023
Accepted:
4
October
2023
Published online:
20
October
2023
At a time when rumours are easy to spread and their harmful effects are well known, it is necessary to study their propagation patterns to support decision-making. Based on practical significance, this paper proposes a SIR rumour propagation model with logistic growth and secondary exposure. The properties of the understanding, the existence and stability of the non-negative equilibrium points and the possible bifurcation phenomenon of the system at the equilibrium point are discussed, and the direction of Hopf bifurcation is judged by the first Lyapunov number. The validity of the theory in the text is verified by Matlab, and the influence of each parameter in the model is compared.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
