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Hopf bifurcation of a free boundary problem modeling tumor growth with angiogenesis and two time delays

This paper concerns a free boundary problem modeling tumor growth with angiogenesis and two time delays. The two delays represent the time taken for cells to undergo mitosis and modify the rate of cell loss because of apoptosis, respectively. We study the stability of stationary solutions and find that Hopf bifurcation occurs under some conditions, which extends the results of Xu. Furthermore, numerical simulations are performed to investigate the relationship among the rate of angiogenesis, two time delays and Hopf bifurcation.

preprint2021arXivOpen access
Haihua ZhouZejia WangDaming YuanHuijuan Song
math.AP
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Open access4 authors1 topic
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Haihua ZhouZejia WangDaming YuanHuijuan Song

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