Article citationsMore>>

Wodarz, D. (2005) Mathematical Models of Immune Effector Responses to Viral Infections Virus Control versus the Development of Pathology. Journal of Computational and Applied Mathematics, 184, 301-319. https://doi.org/10.1016/j.cam.2004.08.016

has been cited by the following article:

• TITLE: Stability Analysis and Chaos Diagnosis of a Tumor-Host Immune Cell Interaction Model with Neimark Sacker Bifurcation

  AUTHORS: Maysoon M. Aziz, Sabaa Abduljabar Mohammed

  KEYWORDS: Discrete Tumor-Immune Model, Fixed Points, Stability, Lyapunov Exponent, Dissipative, Neimark-Sacker Bifurcation, Adaptive Control

  JOURNAL NAME: Open Access Library Journal, Vol.10 No.1, January 30, 2023

  ABSTRACT: In this paper, we take a three-dimension discrete time model of the interaction of host cells with immune cells and tumor cells fixed point analysis was performed to analyze the stability of the system. the necessary conditions have been created to control the growth of cancer cells the introduction of chemotherapy and the disordered behavior was diagnosed the system by finding exponent and dimension of Lyapunov in order, and the numerical simulation of the system was done using the iterative fixed point method, as well as study the dissipative and Neimark-Sacker bifurcation of system. Finally, the tumor cells of the system and its disorder were controlled using the adaptive control technique, and a stable and regular system was obtained.