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Positive almost periodic solution for a model of hematopoiesis with infinite time delays and a nonlinear harvesting term - MaRDI portal

Positive almost periodic solution for a model of hematopoiesis with infinite time delays and a nonlinear harvesting term (Q2016642)

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scientific article; zbMATH DE number 6306061
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Positive almost periodic solution for a model of hematopoiesis with infinite time delays and a nonlinear harvesting term
scientific article; zbMATH DE number 6306061

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    Positive almost periodic solution for a model of hematopoiesis with infinite time delays and a nonlinear harvesting term (English)
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    20 June 2014
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    Summary: A generalized model of hematopoiesis with infinite time delays and a nonlinear harvesting term is investigated. By using a fixed point theorem of the differential equations and constructing a suitable Lyapunov functional, we establish some conditions which guarantee the existence of a unique positive almost periodic solution and the exponential convergence of the system. Finally, we give an example to illustrate the effectiveness of our results.
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    Lyapunov functional
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    exponential convergence
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