Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 361, Issue -, Pages 536-551Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2019.05.032
Keywords
Uniform persistence; Time delay; Transcritical bifurcation; Hopf bifurcation; Global stability; Sensitivity analysis
Categories
Funding
- Indian Institute of Engineering Science and Technology, Shibpur, under institute fellowship
Ask authors/readers for more resources
In this article, a mathematical model with time delay describing tumor immune interaction with Monod-Haldane kinetic response is proposed to reveal the dynamics of related intercellular phenomena. Positivity of the solutions, boundedness and uniform persistence of the system are determined to ensure the well-posedness of the system. The local stability of equilibria is studied as well as the length of the delay to preserve the stability is estimated for providing the mechanism of action to control the oscillation in tumor growth. Transcritical bifurcation using Sotomayer's theorem and Hopf bifurcation are investigated analytically and numerically. Global stability is examined before the commencement of sustained oscillations using a suitable Lyapunov function. To observe the influence of tumor growth due to uncertainty in input parameters, Latin hypercube sampling based uncertainty analysis is performed followed by sensitivity analysis. Computer simulation results are illustrated to elucidate the change of dynamical behavior due to the change of system parameters. (C) 2019 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available