Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL immune responses

H Shu, L Wang, J Watmough - SIAM Journal on Applied Mathematics, 2013 - SIAM
Determining sharp conditions for the global stability of equilibria remains one of the most
challenging problems in the analysis of models for the management and control of biological …

Dynamics of an SEIR epidemic model with nonlinear incidence and treatment rates

RK Upadhyay, AK Pal, S Kumari, P Roy - Nonlinear Dynamics, 2019 - Springer
The control of highly contagious diseases is very important today. In this paper, we proposed
an SEIR model with Crowley–Martin-type incidence rate and Holling type II and III treatment …

Global properties of a class of virus infection models with multitarget cells

AM Elaiw - Nonlinear Dynamics, 2012 - Springer
In this paper, we propose a class of virus infection models with multitarget cells and study
their global properties. We first study three models with specific forms of incidence rate …

Global stability for an HIV-1 infection model with Beddington–DeAngelis incidence rate and CTL immune response

C Lv, L Huang, Z Yuan - … in Nonlinear Science and Numerical Simulation, 2014 - Elsevier
In this paper, an HIV-1 infection model with Beddington–DeAngelis incidence rate and CTL
immune response is investigated. One main feature of this model is that an eclipse stage for …

[PDF][PDF] Analytical solution for an in-host viral infection model with time-inhomogeneous rates

Y Shang - Acta Phys. Pol. B, 2015 - researchgate.net
Over the last few decades, in-host mathematical modeling has increasingly been used in
attempts to understand the pathogenesis of numerous viruses such as hepatitis B virus …

[HTML][HTML] On analysis and optimal control of a SEIRI epidemic model with general incidence rate

H Aghdaoui, AL Alaoui, KS Nisar, M Tilioua - Results in Physics, 2021 - Elsevier
This paper deals with the study of a SEIRI epidemic model with relapse and general
incidence function. Using the next-generation matrix method, we have looked for the …

Dynamical complexity of a delay-induced eco-epidemic model with Beddington–DeAngelis incidence rate

P Dutta, D Sahoo, S Mondal, G Samanta - Mathematics and Computers in …, 2022 - Elsevier
Present article has proposed a general eco-epidemic model with disease in predator
population subject to Beddington–DeAngelis type incidence rate with the significance of fear …

Global properties of a delayed HIV infection model with CTL immune response

X Wang, A Elaiw, X Song - Applied Mathematics and Computation, 2012 - Elsevier
In this paper, we study a delayed six-dimensional human immunodeficiency virus (HIV)
model with Cytotoxic T Lymphocytes (CTLs) immune response. Our model describes the …

Global stability analysis of viral infection model with logistic growth rate, general incidence function and cellular immunity

TK Gharahasanlou, V Roomi… - … and Computers in …, 2022 - Elsevier
It is well known that the mathematical biology and dynamical systems give very important
information for the study and research of viral infection models such as HIV, HBV, HCV …

Mathematical analysis of a delayed HIV infection model with saturated CTL immune response and immune impairment

Y Yang, R Xu - Journal of Applied Mathematics and Computing, 2022 - Springer
In this paper, we develop an HIV infection model with intracellular delay, Beddington–
DeAngelis incidence rate, saturated CTL immune response and immune impairment. We …