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Hopf bifurcation in a solid avascular tumour growth model with two discrete delays. (English) Zbl 1149.92319

Summary: A model of solid, avascular, uniformly proliferating tumour growth with two independent time delays is presented and analysed. The model considers two main cellular processes: proliferation and apoptosis. The aim of this paper is to investigate the influence of time delays on the Hopf bifurcation when one of the delays is used as a bifurcation parameter.

MSC:

92C50 Medical applications (general)
34K18 Bifurcation theory of functional-differential equations
37N25 Dynamical systems in biology
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