A note on the Lyapunov functions for SIR and SIRS epidemic model
*Mahboobeh MohamadhasaniCorresponding authorma.mohamadhasani@gmail.comm.mohamadhasani@hormozgan.ac.irDepartment of MathematicsBandarabbasUniversity of HormozganP. O. Box 3995, IranView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Jan 2021
- Accepted:
- 05 Dec 2021
- Published Online:
- 01 Mar 2023
- Article type:
- A
- Language:
- EN
- Article no.:
- JIM-1486
- Pages:
- 285–288
Abstract
Keywords
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References
[1] K. T. Alligood, T. D. Sauer and J. A. Yorke, CHAOS: An Introduction to Dynamical Systems, Springer-Verlag New York, 1996.
[2] W. O. Kermack, A.G. McKendrick Contributions to the mathematical theory of epidemics, Proc. Roy. Soc. A 115 (1927), 700-721.
[3] A. M. Lyapunov, The General Problem of the Stability of Motion, Taylor and Francis, London, 1992.
[4] S. M O’Regan, T. C. Kelly, A. Korobeinikov, M. J. A. O’Callaghan, A. V. Pokrovskii, Lyapunov functions for SIR and SIRS epidemic models, Appl. Math. Lett. 23 (2010), 446-448.
[5] N. Sharma, R. Singh, R. Pathak, Modeling of media impact with stability analysis and optimal solution of SEIRS epidemic model, Journal of Interdisciplinary Mathematics, 22 (2019), 1123-1156.
[6] R. Shi, X. Jiang, L. Chen, The effect of impulsive vaccination on an SIR epidemic model, Applied Mathematics and Computation, 212 (2009), 305-311.




