Mathematical analysis of a fractional differential model of HBV infection with antibody immune response

J Danane, K Allali, Z Hammouch - Chaos, Solitons & Fractals, 2020 - Elsevier
Fractional differential mathematical model describing the dynamics of hepatitis B viral
infection with DNA-containing capsids, the liver hepatocytes and the humoral immune …

Analysis of fractional-order models for hepatitis B

LC Cardoso, FLP Dos Santos, RF Camargo - Computational and Applied …, 2018 - Springer
This paper presents two models for hepatitis B, both given by fractional differential
equations. The first model is formulated without parameters that indicate drug therapy, while …

A numerical simulation on the effect of vaccination and treatments for the fractional hepatitis b model

H Habenom, DL Suthar… - Journal of …, 2021 - asmedigitalcollection.asme.org
The aim of this paper is to develop a fractional order mathematical model for describing the
spread of hepatitis B virus (HBV). We also provide a rigorous mathematical analysis of the …

Global stability analysis of a fractional differential system in hepatitis B

LC Cardoso, RF Camargo, FLP dos Santos… - Chaos, Solitons & …, 2021 - Elsevier
This paper describes the dynamics of hepatitis B by a fractional-order model in the Caputo
sense. The basic results of the fractional hepatitis B model are presented. Two equilibrium …

[PDF][PDF] Stability analysis of an SEIR epidemic model with non-linear saturated incidence and temporary immunity

MA Khan, A Wahid, S Islam, I Khan, S Shafie… - International Journal of …, 2015 - ijaamm.com
In this paper, we consider an SEIR model with non-linear saturated incidence rate and
temporary immunity. First, we formulate the model and find its basic reproduction number …

The global stability investigation of the mathematical design of a fractional-order HBV infection

B Karaman - Journal of Applied Mathematics and Computing, 2022 - Springer
This work presents approximate solutions of a fractional-order design for hepatitis B virus
infection. The numerical solution of the system is given by using an implicit fractional linear …

[PDF][PDF] Modeling approach to investigate the dynamics of Zika virus fever: A neglected disease in Africa

SC Mpeshe, N Nyerere, S Sanga - Int. J. Adv. Appl. Math. Mech, 2017 - academia.edu
A simple SIR model of Zika virus fever (ZIKVF) dynamics has been presented in order to
compute the basic reproduction number R0 and investigate the relative effect of each …

Spatiotemporal dynamics of a fractional model for hepatitis B virus infection with cellular immunity

M Bachraoui, MA Ichou, K Hattaf… - … Modelling of Natural …, 2021 - mmnp-journal.org
In this paper, we propose and investigate a fractional diffusive model for hepatitis B virus
(HBV) infection with capsids and immune response presented by cytotoxic T lymphocyte …

[PDF][PDF] A general fractional-order viral infection model with cell-to-cell transmission and adaptive immunity

A Boukhouima, EM Lotfi, N Yousfi… - Progr. Fract. Differ …, 2023 - naturalspublishing.com
We propose a general fractional-order viral infection model with adaptive immune response
including both productively infected cells and latently infected cells. This model incorporates …

[PDF][PDF] Dynamics of a fractional optimal control HBV infection model with capsids and CTL immune response

M Ait Ichou, M Bachraoui, K Hattaf… - … modeling and computing, 2023 - jnas.nbuv.gov.ua
This paper deals with a fractional optimal control problem model that describes the
interactions between hepatitis B virus (HBV) with HBV DNA-containing capsids, liver cells …