Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL immune responses
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 …
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
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 …
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 …
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 …
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 …
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
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 …
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
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 …
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
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 …
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 …
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 …
DeAngelis incidence rate, saturated CTL immune response and immune impairment. We …