[PDF][PDF] Dynamics of SARS-CoV-2 infection model with two modes of transmission and immune response

K Hattaf, N Yousfi - Math. Biosci. Eng, 2020 - aimspress.com
In this paper, we propose a new within-host model which describes the interactions between
SARS-CoV-2, host pulmonary epithelial cells and cytotoxic T lymphocyte (CTL) cells …

Stochastic dynamics of Michaelis–Menten kinetics based tumor-immune interactions

P Das, P Das, S Mukherjee - Physica A: Statistical Mechanics and its …, 2020 - Elsevier
In this paper, we investigate deterministic and stochastic dynamics of Michaelis–Menten
kinetics based tumor-immune interactions. For the deterministic case, stability analysis is …

Global analysis of a fractional-order viral model with lytic and non-lytic adaptive immunity

M Naim, Z Yaagoub, A Zeb, M Sadki, K Allali - Modeling Earth Systems …, 2024 - Springer
In this paper, we suggest a new fractional virus model with two routes of infection. The first is
the usual virus-to-cell infection and the other is the direct transmission of cell-to-cell. The …

Analysis of a diffusive virus infection model with humoral immunity, cell-to-cell transmission and nonlinear incidence

Y Luo, L Zhang, T Zheng, Z Teng - Physica A: Statistical Mechanics and its …, 2019 - Elsevier
In this paper, we investigate a reaction–diffusion virus infection model with humoral
immunity and nonlinear incidence in heterogeneous and homogenous environments. The …

Dynamic analysis of HIV model with a general incidence, CTLs immune response and intracellular delays

C Chen, Y Zhou - Mathematics and Computers in Simulation, 2023 - Elsevier
An HIV model with a general incidence, CTLs immune response and intracellular delays is
considered. By using Lyapunov functions and LaSalle's invariance principle, it is shown that …

[HTML][HTML] On fractional approaches to the dynamics of a SARS-CoV-2 infection model including singular and non-singular kernels

B Ghanbari - Results in Physics, 2021 - Elsevier
Abstract Covid-19 (2019-nCoV) disease has been spreading in China since late 2019 and
has spread to various countries around the world. With the spread of the disease around the …

Modeling the cell-to-cell transmission dynamics of viral infection under the exposure of non-cytolytic cure

M Dhar, S Samaddar, P Bhattacharya - Journal of Applied Mathematics …, 2021 - Springer
To explore the effect of direct cell-to-cell transmission on viral infection dynamics under the
exposure of the non-cytolytic cure mechanism, a mathematical model integrating both the …

Spatial dynamics of a viral infection model with immune response and nonlinear incidence

T Zheng, Y Luo, Z Teng - Zeitschrift für angewandte Mathematik und …, 2023 - Springer
Incorporating humoral immunity, cell-to-cell transmission and degenerated diffusion into a
virus infection model, we investigate a viral dynamics model in heterogenous environments …

Modeling the effect of non-cytolytic immune response on viral infection dynamics in the presence of humoral immunity

M Dhar, S Samaddar, P Bhattacharya - Nonlinear Dynamics, 2019 - Springer
In this paper, a mathematical model describing the viral infection dynamics with non-cytolytic
effect of humoral immune response is presented and analyzed. The effect of non-cytolytic …

Global well-posedness and dynamics of spatial diffusion HIV model with CTLs response and chemotaxis

P Wu - Mathematics and Computers in Simulation, 2025 - Elsevier
In this paper, we study the global well-posedness and global dynamics of a reaction–
diffusion HIV infection model with the chemotactic movement of CTLs (Cytotoxic T …