Hopf bifurcation of a free boundary problem modeling tumor growth with angiogenesis and two time delays
نویسندگان
چکیده
This paper concerns a free boundary problem modeling tumor growth with angiogenesis and two time delays. The delays represent the taken for cells to undergo mitosis modify rate of cell loss because apoptosis, respectively. We study stability stationary solutions find that Hopf bifurcation occurs under some conditions, which extends results Xu. Furthermore, numerical simulations are performed investigate relationship among angiogenesis, bifurcation.
منابع مشابه
Hopf Bifurcation of a Mathematical Model for Growth of Tumors with an Action of Inhibitor and Two Time Delays
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ژورنال
عنوان ژورنال: Chaos Solitons & Fractals
سال: 2021
ISSN: ['1873-2887', '0960-0779']
DOI: https://doi.org/10.1016/j.chaos.2021.111578