Hopf bifurcation of a mathematical model for growth of tumors with an action of inhibitor and two time delays (Q536005)
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scientific article; zbMATH DE number 5888166
| Language | Label | Description | Also known as |
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| English | Hopf bifurcation of a mathematical model for growth of tumors with an action of inhibitor and two time delays |
scientific article; zbMATH DE number 5888166 |
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Hopf bifurcation of a mathematical model for growth of tumors with an action of inhibitor and two time delays (English)
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16 May 2011
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The authors study a mathematical model for growth of tumors with two discrete delays. 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. The authors study stability of the stationary solutions and, using delays as bifurcation parameter, obtain conditions under which local Hopf bifurcation exist.
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Hopf bifurcation
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delay
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