Abstract
In this paper, a mathematical model which consists of system of differential equations with piecewise constant argument is constructed to describe tumor-immune system interaction. The system is based on the tumor growth model constructed by Kuznetsov et all. A solution of the system with piecewise constant arguments leads to a system of difference equations. Using Schur-Cohn criterion and a Lyapunov function, sufficient conditions are obtained for the local and global asymptotic stability of a positive equilibrium point of the system of difference equations. Neimark-Sacker bifurcations analysis shows that stable limit cycle occurs at the bifurcation point, thus resulting oscillations for tumor and immune system.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
