Hopf Bifurcation of a Mathematical Model for Growth of Tumors with an Action of Inhibitor and Two Time Delays

Bao Shi, Fangwei Zhang and Shihe Xu

Abstract and Applied Analysis, 2011, vol. 2011, 1-10

Abstract:

A mathematical model for growth of tumors with two discrete delays is studied. The delays, respectively, represent the time taken for cells to undergo mitosis and the time taken for the cell to modify the rate of cell loss due to apoptosis and kill of cells by the inhibitor. We show the influence of time delays on the Hopf bifurcation when one of delays is used as a bifurcation parameter.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:980686

DOI: 10.1155/2011/980686

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