DYNAMICS OF FRACTIONAL-ORDER EPIDEMIC MODELS WITH GENERAL NONLINEAR INCIDENCE RATE AND TIME-DELAY
| dc.contributor.author | Kashkynbayev, Ardak | |
| dc.contributor.author | Rihan, Fathalla A. | |
| dc.date.accessioned | 2021-12-23T05:58:39Z | |
| dc.date.available | 2021-12-23T05:58:39Z | |
| dc.date.issued | 2021-08-03 | |
| dc.description.abstract | Abstract: In this paper, we study the dynamics of a fractional-order epidemic model with general nonlinear incidence rate functionals and time-delay. We investigate the local and global stability of the steady-states. We deduce the basic reproductive threshold parameter, so that if R0 < 1, the disease-free steady-state is locally and globally asymptotically stable. However, for R0 > 1, there exists a positive (endemic) steady-state which is locally and globally asymptotically stable. A Holling type III response function is considered in the numerical simulations to illustrate the effectiveness of the theoretical results. Keywords: epidemic model; fractional calculus; global stability; lyapunov functionals; time-delay | en_US |
| dc.identifier.citation | Kashkynbayev, A., & Rihan, F. A. (2021). Dynamics of Fractional-Order Epidemic Models with General Nonlinear Incidence Rate and Time-Delay. In Mathematics (Vol. 9, Issue 15, p. 1829). MDPI AG. https://doi.org/10.3390/math9151829 | en_US |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.uri | https://doi.org/10.3390/math9151829 | |
| dc.identifier.uri | https://www.mdpi.com/2227-7390/9/15/1829 | |
| dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/5960 | |
| dc.language.iso | en | en_US |
| dc.publisher | MDPI AG | en_US |
| dc.relation.ispartofseries | Mathematics;Volume 9, Issue 15, 10.3390/math9151829 | |
| dc.rights | Attribution-NonCommercial-ShareAlike 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/us/ | * |
| dc.subject | epidemic model | en_US |
| dc.subject | fractional calculus | en_US |
| dc.subject | global stability | en_US |
| dc.subject | lyapunov functionals | en_US |
| dc.subject | time-delay | en_US |
| dc.subject | Type of access: Open Access | en_US |
| dc.title | DYNAMICS OF FRACTIONAL-ORDER EPIDEMIC MODELS WITH GENERAL NONLINEAR INCIDENCE RATE AND TIME-DELAY | en_US |
| dc.type | Article | en_US |
| workflow.import.source | science |