A tumor–immune interaction model with the effect of impulse therapy

M Sardar, S Khajanchi, B Ahmad - Communications in Nonlinear Science …, 2023 - Elsevier
A mathematical model describing the growth of tumor cells and the effect of impulsive
therapy is studied in this paper. The governing equations and parameters related to the …

Periodically pulsed immunotherapy in a mathematical model of tumor-immune interaction

HC Wei, JT Lin - International Journal of Bifurcation and Chaos, 2013 - World Scientific
Immunotherapy is one of the most recent approaches in cancer therapy. In this paper, a
mathematical model of tumor-immune interaction with periodically pulsed immunotherapy …

Extinction and persistence of a tumor-immune model with white noise and pulsed comprehensive therapy

H Yang, Y Tan, J Yang, Z Liu - Mathematics and Computers in Simulation, 2021 - Elsevier
In this paper, a tumor-immune system with impulse comprehensive therapy and stochastic
perturbation is investigated. The combination of pulsed chemotherapy and pulsed …

[HTML][HTML] Analysis of a stochastic tumor-immune model with regime switching and impulsive perturbations

Y Deng, M Liu - Applied Mathematical Modelling, 2020 - Elsevier
In this article, an impulsive stochastic tumor-immune model with regime switching is
formulated and explored. Firstly, it is proven that the model has a unique global positive …

Mathematical modeling and dynamic analysis of anti-tumor immune response

L Pang, S Liu, X Zhang, T Tian - Journal of Applied Mathematics and …, 2020 - Springer
The competitive interaction of tumor-immune system is very complex. We aim to establish a
simple and realistic mathematical model to understand the key factors that impact the …

Modelling pulsed immunotherapy of tumour–immune interaction

J Yang, S Tang, RA Cheke - Mathematics and Computers in Simulation, 2015 - Elsevier
We develop a mathematical model that describes the tumour–immune interaction and the
effect on it of pulsed immunotherapy, based on the administration of adoptive cellular …

Thresholds for extinction and proliferation in a stochastic tumour-immune model with pulsed comprehensive therapy

J Yang, Y Tan, RA Cheke - … in Nonlinear Science and Numerical Simulation, 2019 - Elsevier
Periodical applications of immunotherapy and chemotherapy play significant roles in cancer
treatment and studies have shown that the evolution of tumour cells is subject to random …

A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences

A d'Onofrio - Physica D: Nonlinear Phenomena, 2005 - Elsevier
In this work we propose and investigate a family of models, which admits as particular cases
some well known mathematical models of tumor-immune system interaction, with the …

Bifurcation analysis in a tumor-immune system interaction model with dendritic cell therapy and immune response delay

Y Zhang, L Xie, Y Dong, J Huang, S Ruan… - SIAM Journal on Applied …, 2023 - SIAM
In this paper, we study a tumor-immune system interaction model with dendritic cell therapy
and immune response delay. First, it is shown that the ODE version of the model has a …

Dynamics of a tumor-immune model considering targeted chemotherapy

P Liu, X Liu - Chaos, Solitons & Fractals, 2017 - Elsevier
Considering the targeted chemotherapy, a mathematical model of tumor-immune system
was constructed on the basis of de Pillis's model. In this paper, we conducted qualitative …