Global dynamics of epidemic network models via construction of Lyapunov functions
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- by Rachidi B. Salako and Yixiang Wu;
- Proc. Amer. Math. Soc. 152 (2024), 3801-3815
- DOI: https://doi.org/10.1090/proc/16872
- Published electronically: August 1, 2024
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Abstract:
In this paper, we study the global dynamics of epidemic network models with standard incidence or mass-action transmission mechanism, when the dispersal of either the susceptible or the infected people is controlled. The connectivity matrix of the model is not assumed to be symmetric. Our main technique to study the global dynamics is to construct novel Lyapunov type functions.References
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Bibliographic Information
- Rachidi B. Salako
- Affiliation: Department of Mathematical Sciences, University of Nevada, Las Vegas, Las Vegas, Nevada
- MR Author ID: 1201679
- Email: rachidi.salako@unlv.edu
- Yixiang Wu
- Affiliation: Department of Mathematical Sciences, Middle Tennessee State University, Murfreesboro, Tennessee 37132
- ORCID: 0009-0003-1165-5993
- Email: yixiang.wu@mtsu.edu
- Received by editor(s): October 1, 2023
- Received by editor(s) in revised form: February 5, 2024
- Published electronically: August 1, 2024
- Additional Notes: The second author is the corresponding author
- Communicated by: Wenxian Shen
- © Copyright 2024 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 152 (2024), 3801-3815
- MSC (2020): Primary 34D23, 92B05, 15A18
- DOI: https://doi.org/10.1090/proc/16872
- MathSciNet review: 4781975