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

Haihua Zhou, Zejia Wang, Daming Yuan and Huijuan Song

Chaos, Solitons & Fractals, 2021, vol. 153, issue P1

Abstract: 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.

Keywords: Tumor model; Free boundary problem; Angiogenesis; Time delay; Hopf bifurcation (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:153:y:2021:i:p1:s0960077921009322

DOI: 10.1016/j.chaos.2021.111578

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