[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 …

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 …

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 …

[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 …

Impacts of the cell-free and cell-to-cell infection modes on viral dynamics

H Shu, Y Chen, L Wang - Journal of Dynamics and Differential Equations, 2018 - Springer
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 …

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 …

Mathematical analysis of an age-since infection and diffusion HIV/AIDS model with treatment adherence and Dirichlet boundary condition

P Wu, R Zhang, A Din - Mathematics and Computers in Simulation, 2023 - Elsevier
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 …

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 …

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 …

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 …