Stability analysis of the SEIRS epidemic model with infectious dynamics during latent and infectious periods
Vol 2, Issue 2, 2024
VIEWS - 443 (Abstract)
Download PDF
Abstract
Keywords
References
1. Alrashed S, Min-Allah N, Saxena A, et al. Impact of Lockdowns on the Spread of COVID-19 in Saudi Arabia. Informatics in Medicine Unlocked. 2020; 20: 100420.
2. Annas S, Pratama MI, Rifandi M, et al. Stability analysis and numerical aimulation of SEIR Model for pandemic COVID-19 spread in Indonesia. Chaos, Solitons and Fractals. 2020; 139: 110072.
3. Jiao J, Liu Z, Cai S. Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible. Applied Mathematics Letters. 2020; 107: 106442.
4. Kyrychko YN, Blyuss KB, Brovchenko I. Mathematical modelling of the dynamics and containment of COVID-19 in Ukraine. Sci Rep. 2020; 10: 19662.
5. Zu J, Li ML, Li ZF, et al. Transmission patterns of COVID-19 in the mainland of China and the efficacy of different control strategies: A data- and model-driven study. Infect Dis Poverty. 2020; 9: 83.
6. Zamir M, Shah K, Nadeem F, et al. Threshold Conditions for Global Stability of Disease Free State of COVID-19. Results in Physics. 2021; 21: 103784.
7. Abdullah, Ahmad S, Owyed S, et al. Mathematical analysis of COVID-19 via new mathematical model. Chaos, Solitons Fractals, Chaos, Solitons and Fractals. 2021; 143: 110585.
8. Al-arydah M. Assessing vaccine efficacy for infectious diseases with variable immunity using a mathematical model. Sci Rep. 2024; 14: 18572.
9. Bouissa A, Tahiri M, Tsouli N, et al. Global dynamics of a time-fractional spatio-temporal SIR model with a generalized incidence rate. J. Appl. Math. Comput. 2023; 69: 4779–4804.
10. Bouissa A and Tsouli N. Comprehensive analysis of disease dynamics using nonlinear fractional order SEIRS model with Crowley-Martin functional response and saturated treatment. International Journal of Biomathematics. 2024; 2350114.
11. Liu W, Hethcote HW, Levin SA. Dynamical behavior of epidemiological models with nonlinear incidence rates. J. Math. Biol. 1987; 25: 359–380.
12. Al-arydah M, Berhe H, Dib K, Madhu K. Mathematical modeling of the spread of the coronavirus under strict social restrictions. Math Meth Appl Sci. 2021; 1–11.
13. Van den Driessche P and Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Mathematical biosciences. 2002; 180: 29–48.
14. Jiang J. On the Global Stability of Cooperative Systems. Bulletin of the London Mathematical Society. 1994; 5: 455–458.
15. Thieme HR. Convergence results and a Poincar-Bendixson trichotomy for asymptotically autonomous differential equations. J. Math. Biol. 1992; 30: 755–C763.
16. Cheng Y and Yang X. On the global stability of SEIRS models in epidemiology. Can. Appl. Math. Q. 2012; 20: 115–133.
17. Li M, Muldowney JS. Global stability for the SEIR model in epidemiology. Math. Biosci. 1995; 125: 155–164.
18. Li M, Muldowney JS. A Geometric Approach to Global-Stability Problems. SIAM J. Math. Anal. 1996; 27: 1070– 1083.
19. Li M, Muldowney JS, van den Driessche P. Global stability of SEIRS models in epidemiology. Can. Appl. Math. Q. 1999; 7: 409–425.
20. Lu G and Lu Z. Geometric approach to global asymptotic stability for the SEIRS models in epidemiology. Nonl. Anal. RWA. 2017; 36: 20–43.
21. Li G, Jin Z. Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period. Chaos, Solitons and Fractals. 2005; 25: 1177–1184.
22. Li G, Wang W, Jin Z. Global stability of an SEIR epidemic model with constant immigration. Chaos, Solitons and Fractals. 2006; 30: 1012–1019.
23. Li M, Graef JR, Wang L, Karsai, J. Global dynamics of a SEIR model with varying total population size. Mathematical biosciences. 1999; 160: 191–213.
24. Li M, Muldowney JS. Dynamics of differential equations on invariant manifolds. J. Differential Equations. 2000; 168: 295–320.
Refbacks
- There are currently no refbacks.
Copyright (c) 2024 Guichen Lu, Yifan Miao
License URL: https://creativecommons.org/ licenses/by/4.0/
Editor-in-Chief
Prof. Youssri Hassan Youssri
Cairo University, Egypt
Processing Speed
-
-
-
- <5 days from submission to initial review decision;
- 62% acceptance rate
-
-
Asia Pacific Academy of Science Pte. Ltd. (APACSCI) specializes in international journal publishing. APACSCI adopts the open access publishing model and provides an important communication bridge for academic groups whose interest fields include engineering, technology, medicine, computer, mathematics, agriculture and forestry, and environment.