Applied Mathematics (IOCAM 22)

A special issue of Mathematical and Computational Applications (ISSN 2297-8747).

Deadline for manuscript submissions: closed (15 October 2022) | Viewed by 3072

Special Issue Editor


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Guest Editor
Laboratory LAMA, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, Atlas Fez P.O. Box 1796, Morocco
Interests: bilevel optimization; set valued optimization

Special Issue Information

Dear Colleagues,

This Special Issue will collect contributions from the International Online Conference on Applied Mathematics (IOCAM 22) (https://iocam22.sciencesconf.org/). Papers considered to fit the scope of the journal (Mathematical and Computational Applications) and to be of exceptional quality after evaluation by the reviewers will be published free of charge.

Prof. Dr. Nazih Abderrazzak Gadhi
Guest Editor

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Published Papers (1 paper)

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Research

14 pages, 1807 KiB  
Article
Modeling the Adaptive Immune Response in an HBV Infection Model with Virus to Cell Transmission in Both Liver with CTL Immune Response and the Extrahepatic Tissue
by Fatima Ezzahra Fikri and Karam Allali
Math. Comput. Appl. 2022, 27(4), 65; https://doi.org/10.3390/mca27040065 - 28 Jul 2022
Cited by 1 | Viewed by 1609
Abstract
The objective of this paper is to investigate a mathematical model describing the infection of hepatitis B virus (HBV) in intrahepatic and extrahepatic tissues. Additionally, the model includes the effect of the cytotoxic T cell (CTL) immunity, which is described by a linear [...] Read more.
The objective of this paper is to investigate a mathematical model describing the infection of hepatitis B virus (HBV) in intrahepatic and extrahepatic tissues. Additionally, the model includes the effect of the cytotoxic T cell (CTL) immunity, which is described by a linear activation rate by infected cells. The positivity and boundedness of solutions for non-negative initial data are proven, which is consistent with the biological studies. The local stability of the equilibrium is established. In addition to this, the global stability of the disease-free equilibrium and the endemic equilibrium is fulfilled by using appropriate Lyapanov functions. Finally, numerical simulations are performed to support our theoretical findings. It has been revealed that the fractional-order derivatives have no influence on the stability but only on the speed of convergence toward the equilibria. Full article
(This article belongs to the Special Issue Applied Mathematics (IOCAM 22))
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