Mathematical Analysis of a SEIR Model with Nonlinear Incidence Rate for COVID-19 Dynamics
Asian Research Journal of Mathematics · pp. 56–68 · Published 28 Feb 2022
10.9734/arjom/2022/v18i230360Abstract
In this paper, an SEIR epidemic model with nonlinear incidence is considered. First, we formulate the model and obtain its basic properties. Then, we find the equilibrium points of the model, the disease-free and the endemic equilibrium. The stability of disease-free and endemic equilibrium is associated with the basic reproduction number R. If the basic reproduction number \(\mathcal{R}\) < 1, the disease-free equilibrium \(\mathcal{E}\) is locally as well as globally asymptotically stable. Moreover, if the basic reproduction number \(\mathcal{R}\) > 1, the disease is uniformly persistent and the unique endemic equilibrium \(\mathcal{E}\) * of the system is locally as well as globally asymptotically stable under certain conditions. Finally, the numerical results justify the analytical results.
Cited by 1
Fahdah Alshammari, Alaa Mustafa, Ehssan Omer
Related research
- Local Stability of the Effects of Early Detection and Treatment on the Dynamics of Tuberculosis Using Lyapunov Function Method — shares topic coverage
- Simple Mathematical Model for Malaria Transmission — shares topic coverage
- Mathematical Model of Drinking Epidemic — shares topic coverage
- Global Stability of Equilibrium Points of Typhoid Fever Model with Protection — shares topic coverage
- Stability Analysis and Response Bounds of Gyroscopic Systems — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
1
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.