|
|
高维传染病模型的流形分析
|
Abstract:
本文主要研究高维传染病模型如SEIR模型，其中在某种条件下可获得一维中心流形的存在性结论。
This paper focuses on high-dimensional Epidemiological models such as the SEIR model, in which conclusions about the existence of a one-dimensional central manifold can be obtained under certain conditions.
| [1] | Veeresha, P., Prakasha, D.G. and Kumar, D. (2020) Fractional SIR Epidemic Model of Childhood Disease with Mittag-Leffler Memory. In: Kumar, D. and Singh, J., Eds., Fractional Calculus in Medical and Health Science, CRC Press, 229-248. https://doi.org/10.1201/9780429340567-9 |
| [2] | Sidi Ammi, M.R., Tahiri, M. and Torres, D.F.M. (2020) Global Stability of a Caputo Fractional SIRS Model with General Incidence Rate. Mathematics in Computer Science, 15, 91-105. https://doi.org/10.1007/s11786-020-00467-z |
| [3] | Muldowney, J.S. (1990) Compound Matrices and Ordinary Differential Equations. Rocky Mountain Journal of Mathematics, 20, 857-872. https://doi.org/10.1216/rmjm/1181073047 |
| [4] | Hale, J.K. (1969) Ordinary Differential Equations. John Wiley and Sons. |
| [5] | Liu, X. and Han, M. (2005) Bifurcation of Periodic Orbits of a Three-Dimensional System. Chinese Annals of Mathematics, 26, 253-274. https://doi.org/10.1142/s025295990500021x |
