Spatiotemporal Dynamics of a Mathematical HIV-1 Infection Model with Hattaf Time Fractional Derivative and Two Types of Infected Cells

Zakaria Hajhouji (), Hamza El Mamouni, Khalid Hattaf and Noura Yousfi
Additional contact information
Zakaria Hajhouji: Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick
Hamza El Mamouni: Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick
Khalid Hattaf: Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick
Noura Yousfi: 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 307-321 from Springer

Abstract: Abstract In this paper, we propose and analyze the spatiotemporal dynamics of a fractional model for human immunodeficiency virus 1 (HIV-1) formulated by partial differential equations of reaction-diffusion type. The reaction is modeled by the Hattaf time-fractional derivative and the diffusion is described by the Laplacian operator. The proposed model incorporates two types of treatment, humoral immunity and highly active antiretroviral therapy (HAART), in order to reduce the viral load in patients infected with HIV-1 and prevent the development of HIV-related complications.

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_17

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

DOI: 10.1007/978-3-031-97461-8_17

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 ().