Bifurcation and stability analysis and control strategy study of a class SEIWR infectious disease models considering viral loads in the environment

Kedeng Cheng and Yuanhua Qiao

Chaos, Solitons & Fractals, 2025, vol. 198, issue C

Abstract: In this paper, a SEIWR epidemic model with virus compartment and Holling-II infection is established, and the nonlinear incidence rate and the saturation treatment function are considered. Firstly, the boundedness of the model solution is proved and the basic reproduction number is obtained. The global asymptotic stability of the equilibrium points is explored using Lyapunov function method and Li Muldowney geometry method. Secondly, the conditions for the system to undergo forward and backward bifurcation are given, as well as the conditions for Hopf bifurcation, and the theoretical results are verified through numerical simulations. As an example, the model is used to fit the actual data of COVID-19 and tuberculosis in China, and it is found that the model is well enough to explain the transmission characteristics of the infectious diseases. Finally, we evaluate the effectiveness of different control measures and find that the most useful control measures are regular disinfection-sterilization and increasing public awareness of the disease.

Keywords: Epidemic model; Holling II incidence rate; Lyapunov function; Bifurcation Analysis; Data fitting (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S096007792500503X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:198:y:2025:i:c:s096007792500503x

DOI: 10.1016/j.chaos.2025.116490

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().