Stability analysis of an SIR model with alert class modified saturated incidence rate and Holling functional type-II treatment

Abstract: This study discusses an SIR epidemic model with modified saturated incidence rates and Holling functional type-II therapy. In this study, we take the new alert compartment (A) in the SIR compartment model. Consider the modified non-linear incidence rate from the susceptible to the infected class and the second non-linear incidence rate from the alert to the infected class. Further, we investigate the elementary reproduction number, the equilibrium points of the model, and their stability. We apply manifold theory to discuss bifurcations of the disease-free equilibrium point. This study shows that the infected population decreases with the Holling functional type II treatment rate. It also shows that the number of infected people decreases when the psychological rate increases and the contact rate decreases.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Stability analysis of an SIR model with alert class modified saturated incidence rate and Holling functional type-II treatment ; volume:11 ; number:1 ; year:2023 ; extent:10 ; Computational and mathematical biophysics ; 11, Heft 1 (2023) (gesamt 10)

Contributors, Places and Time

• Creator: Sharma, Shivram ; Sharma, Praveen Kumar

Further information

• DOI: 10.1515/cmb-2022-0145
• URN: urn:nbn:de:101:1-2023050914022201639987
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 14.08.2025, 10:53 AM CEST