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An abstract neutral functional differential equation arising from a cell population model. (English) Zbl 0949.34064

The present paper exhibits an abstract neutral functional-differential equation arising from a cell population model, which is a modification of a model first proposed by M. Kimmel, Z. Darzynkiewicz, O. Arino and J. Traganos [Theor. Biol. 110, 637-665 (1984)]. It is shown that a large class of such equations can be solved by means of the theory of nonlinear semigroups. Applications to the cell population model are detailed.

MSC:

34K40 Neutral functional-differential equations
92D25 Population dynamics (general)
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References:

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