Mathematical Analysis of a Fractional-order ”SIR” Epidemic Model with a General Nonlinear Saturated Incidence Rate in a Chemostat
Asian Research Journal of Mathematics · pp. 1–12 · Published 20 Feb 2019
10.9734/arjom/2019/v12i230082Abstract
In the present work, a fractional-order differential equation based on the Susceptible-Infected- Recovered (SIR) model with nonlinear incidence rate in a continuous reactor is proposed. A profound qualitative analysis is given. The analysis of the local and global stability of equilibrium points is carried out. It is proved that if the basic reproduction number R > 1 then the disease-persistence (endemic) equilibrium is globally asymptotically stable. However, if R ≤ 1, then the disease-free equilibrium is globally asymptotically stable. Finally, some numerical tests are done in order to validate the obtained results.
Cited by 8
Miled El Hajji, Sayed Sayari, A. Zaghdani · 2020
Abdualrazaq Sanbo, E. Elsayed · Asian Research Journal of Mathematics · 2019
Miled El Hajji, Sayed Sayari · Asian Research Journal of Mathematics · 2019
Sayed Sayari, Miled El Hajji · Asian Research Journal of Mathematics · 2019
Miled El Hajji · Journal of Advances in Mathematics and Computer Science · 2019
Mehdi Zahid, Maria Acim · Communications in Mathematical Biology and Neuroscience · 2022
Abdualrazaq Sanbo, E. Elsayed · 2019
Related research
- Mathematical Model of Drinking Epidemic — shares topic coverage
- Existence and Stability of Equilibrium Points under Combined Effects of Oblateness and Triaxiality in the Restricted Problem of Four Bodies — shares topic coverage
- Out-of-plane Equilibrium Points in the Photogravitational Restricted Four-body Problem with Oblateness — shares topic coverage
- Analysis of a Fractional-order “SVEIR” Epidemic Mo del with a General Nonlinear Saturated Incidence Rate in a Continuous Reactor — shares topic coverage
- How the Fractional-order Improve and Extend the Well-known Competitive Exclusion Principle in the Chemostat Model with n Species Competing for a Single Resource? — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
8
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.