Stability of a Delayed Fractional Model for Viral Infection with Multiple Modes of Transmission and Humoral Immunity

Hanae Boukhrissi, Fatima Assadiki, Khalid Hattaf and Fouad Lahmidi
Additional contact information
Hanae Boukhrissi: Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick
Fatima Assadiki: Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick
Khalid Hattaf: Centre Régional des Métiers de l’Education et de la Formation (CRMEF), Equipe de Recherche en Modélisation et Enseignement des Mathématiques (ERMEM)
Fouad Lahmidi: Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick

A chapter in Trends in Biomathematics: Modeling Health Across Ecology, Social Interactions, and Cells, 2025, pp 115-133 from Springer

Abstract: Abstract In this chapter, we propose a new fractional model that describes the dynamics of viral infections like human immunodeficiency virus (HIV), hepatitis B virus (HBV), and SARS-CoV-2 which causes COVID-19. The proposed model includes three modes of transmission, two types of infected cells, one delay in viral production, and humoral immunity exerted by antibodies to neutralize viral particles. The equilibria and threshold parameters of the model are fully determined. Furthermore, the stability of equilibria is rigorously established.

Date: 2025
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-97461-8_6

Ordering information: This item can be ordered from
http://www.springer.com/9783031974618

DOI: 10.1007/978-3-031-97461-8_6

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().