Volterra-type Lyapunov functions for fractional-order epidemic systems

C Vargas-De-León - Communications in Nonlinear Science and Numerical …, 2015 - Elsevier
In this paper we prove an elementary lemma which estimates fractional derivatives of
Volterra-type Lyapunov functions in the sense Caputo when α∈(0, 1). Moreover, by using …

Analysis of a within-host HIV/HTLV-I co-infection model with immunity

AM Elaiw, NH Alshamrani - Virus Research, 2021 - Elsevier
Human immunodeficiency virus (HIV) and human T-lymphotropic virus type I (HTLV-I) are
two retroviruses that attack the immune cells and impair their functions. Both HIV and HTLV-I …

Dynamics analysis of an HTLV‐1 infection model with mitotic division of actively infected cells and delayed CTL immune response

F Li, W Ma - Mathematical Methods in the Applied Sciences, 2018 - Wiley Online Library
In this paper, we propose an improved human T‐cell leukemia virus type 1 infection model
with mitotic division of actively infected cells and delayed cytotoxic T lymphocyte immune …

[PDF][PDF] Mathematical modeling of HIV/HTLV co-infection with CTL-mediated immunity

AM Elaiw, NH Alshamrani, AD Hobiny - AIMS Math, 2021 - aimspress.com
In the literature, a great number of HIV and HTLV-I mono-infection models has been
formulated and analyzed. However, the within-host dynamics of HIV/HTLV-I co-infection has …

Modeling and analysis of a within-host HIV/HTLV-I co-infection

AM Elaiw, NH Alshamrani - Boletín de la Sociedad Matemática Mexicana, 2021 - Springer
Human immunodeficiency virus (HIV) and human T-lymphotropic virus type I (HTLV-I) are
two retroviruses that attack the CD4^+ CD4+ T cells and impair their functions. Both HIV and …

HTLV/HIV dual infection: Modeling and analysis

AM Elaiw, N H. AlShamrani - Mathematics, 2020 - mdpi.com
Human T-lymphotropic virus type I (HTLV-I) and human immunodeficiency virus (HIV) are
two famous retroviruses that share similarities in their genomic organization, and differ in …

Stability of HIV/HTLV‐I co‐infection model with delays

AM Elaiw, NH AlShamrani - Mathematical Methods in the …, 2022 - Wiley Online Library
In this paper, we formulate a within‐host dynamics model for HIV/HTLV‐I co‐infection under
the influence of cytotoxic T lymphocytes (CTLs). The model incorporates silent HIV‐infected …

[HTML][HTML] Stability of HIV/HTLV co-infection model with effective HIV-specific antibody immune response

MA Alshaikh, NH AlShamrani, AM Elaiw - Results in Physics, 2021 - Elsevier
This paper presents two HIV/HTLV co-infection models with antibody immune response. The
first model is given by 5-dimensional ODEs that describe the within–host interactions of five …

Stability of an HTLV-HIV coinfection model with multiple delays and CTL-mediated immunity

NH Alshamrani - Advances in Difference Equations, 2021 - Springer
In the literature, several mathematical models have been formulated and developed to
describe the within-host dynamics of either human immunodeficiency virus (HIV) or human T …

A stochastic hiv/htlv-i co-infection model incorporating the aids-related cancer cells

H Yang, X Li, W Zhang - Discrete and Continuous Dynamical …, 2024 - aimsciences.org
This paper proposes a stochastic HIV/HTLV-I co-infection model incorporating the AIDS-
related cancer cells and investigates its dynamical behaviours. The main methods are …