An SEIR epidemic model's global analysis that incorporates the bi-linear incidence rate with treatment function Online publication date: Mon, 09-Sep-2024
by S.K. Tiwari; Pradeep Porwal; Neha Mangal
International Journal of Applied Nonlinear Science (IJANS), Vol. 4, No. 3, 2024
Abstract: In this paper, the bi-linear incidence rate and saturated treatment function of the SEIR epidemic model are examined, with a particular emphasis on the impact of inadequate treatment on the infectious disease's transmissibility. The basic reproductive number, which determines the potential for disease extinction or persistence, is evaluated. The determination of threshold requirements for all types of equilibrium points is examined. We prove that the equilibrium is locally asymptotically stable by calculating the eigenvalues and using the Routh-Hurwitz criterion. The autonomous convergence theorem and the Lyapunov function are also used to investigate the disease-free and endemic equilibrium's global asymptotical stability. The research carried out suggested that the commencement of treatment is a highly relevant element in infection control. The results of the numerical simulations are used to support and verify the theoretical findings.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Applied Nonlinear Science (IJANS):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook