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Stability and bifurcation of fractional tumor-immune model with time delay | ||
Computational Methods for Differential Equations | ||
مقاله 4، دوره 9، شماره 3، مهر 2021، صفحه 692-709 اصل مقاله (7 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2020.37915.1672 | ||
نویسندگان | ||
Javad Alidousti* ؛ Elham Ghafari | ||
Department of Mathematical Sciences, Shahrekord University, Shahrekord, Iran. | ||
چکیده | ||
The present study aims are to analyze a delay tumor-immune fractional-order system to describe the rivalry among the immune system and tumor cells. Given that the dynamics of this system depend on the time delay parameter, we examine the impact of time delay on this system to attain better compatibility with actuality. For this purpose, we analytically evaluated the stability of the system’s equilibrium points. It is shown that Hopf bifurcation occurs in the fractional system when the delay parameter passes a certain value. Finally, by using numerical simulations, the analytical results were compared to the numerical results to acquire several dynamical behaviors of this system. | ||
کلیدواژهها | ||
Fractional differential equations؛ Time delay؛ Stability analysis؛ Hopf bifurcation | ||
مراجع | ||
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