[PDF][PDF] Mathematical modelling of COVID-19 disease dynamics: Interaction between immune system and SARS-CoV-2 within host
S Chowdhury, JT Chowdhury, SF Ahmed… - AIMS …, 2022 - researchgate.net
SARS-COV-2 (Coronavirus) viral growth kinetics within-host become a key fact to
understand the COVID-19 disease progression and disease severity since the year 2020 …
understand the COVID-19 disease progression and disease severity since the year 2020 …
Threshold dynamics of an HIV-1 virus model with both virus-to-cell and cell-to-cell transmissions, intracellular delay, and humoral immunity
J Lin, R Xu, X Tian - Applied mathematics and computation, 2017 - Elsevier
Direct cell-to-cell transmission of HIV-1 is proved to be a more efficient means of virus
infection than virus-to-cell transmission. In this paper, we incorporate both virus-to-cell and …
infection than virus-to-cell transmission. In this paper, we incorporate both virus-to-cell and …
Mathematical analysis and optimal control for Chikungunya virus with two routes of infection with nonlinear incidence rate
M El Hajji, A Zaghdani, S Sayari - International Journal of …, 2022 - World Scientific
Chikungunya fever, caused by Chikungunya virus (CHIKV) and transmitted to humans by
infected Aedes mosquitoes, has posed a global threat in several countries. In this paper, we …
infected Aedes mosquitoes, has posed a global threat in several countries. In this paper, we …
[HTML][HTML] Threshold dynamics of a delayed nonlocal reaction-diffusion HIV infection model with both cell-free and cell-to-cell transmissions
Y Gao, J Wang - Journal of Mathematical Analysis and Applications, 2020 - Elsevier
In this paper, we derive and analyze an HIV infection model containing a fixed latent period
and both cell-free and cell-to-cell transmissions. The model is described by a spatially non …
and both cell-free and cell-to-cell transmissions. The model is described by a spatially non …
Impacts of the cell-free and cell-to-cell infection modes on viral dynamics
Virus can disseminate between uninfected target cells via two modes, namely, the diffusion-
limited cell-free viral spread and the direct cell-to-cell transfer using virological synapses. To …
limited cell-free viral spread and the direct cell-to-cell transfer using virological synapses. To …
Modelling and optimal control for Chikungunya disease
M El Hajji - Theory in Biosciences, 2021 - Springer
A generalized model of intra-host CHIKV infection with two routes of infection has been
proposed. In a first step, the basic reproduction number R _0 R 0 was calculated using the …
proposed. In a first step, the basic reproduction number R _0 R 0 was calculated using the …
Mathematical analysis of an age-since infection and diffusion HIV/AIDS model with treatment adherence and Dirichlet boundary condition
In this paper, an epidemic model with homogeneous Dirichlet boundary condition is
formulated to study the joint impact of spatial diffusion, infection age and treatment …
formulated to study the joint impact of spatial diffusion, infection age and treatment …
Environmental variability in a stochastic HIV infection model
Z Shi, D Jiang - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
In this paper, a stochastic HIV infection model with the Ornstein–Uhlenbeck process is
established and studied. It is assumed that the death rate of healthy CD4+ T cells satisfies …
established and studied. It is assumed that the death rate of healthy CD4+ T cells satisfies …
Threshold asymptotic dynamics for a spatial age-dependent cell-to-cell transmission model with nonlocal disperse.
S Djilali - Discrete & Continuous Dynamical Systems-Series …, 2023 - search.ebscohost.com
This research is concerned to study the global threshold dynamics of a hybrid viral infection
model, with the assumption that all parameters are space dependent. The considered hybrid …
model, with the assumption that all parameters are space dependent. The considered hybrid …
Dynamics of a diffusion dispersal viral epidemic model with age infection in a spatially heterogeneous environment with general nonlinear function
F Mahroug, S Bentout - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
We propose a generalization of a model with age of infection in a heterogeneous
environment. Firstly, we give the well‐posedness of the model and prove that the solutions …
environment. Firstly, we give the well‐posedness of the model and prove that the solutions …