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Oscillation for a class of diffusive hematopoiesis model with several arguments

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Abstract

By considering solution curve’s or surface’s composition of the functions of several variables and constructing the suitable lower-upper solution pair for the following special diffusive Hematopoiesis model

$\frac{{\partial P(t,x)}} {{\partial t}} = \Delta P(t,x) - \gamma P(t,x) + \sum\limits_{i = 1}^m {\frac{{\beta _i P(t - \tau _i ,x)}} {{1 + P^n (t - \tau _i ,x)}}} $
((0.1))

under Neumann boundary condition, sufficient conditions are provided for the oscillation of the positive equilibrium for (0.1). Moreover, these results extend or complement existing results.

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Authors and Affiliations

  1. Department of Mathematics and System Science, College of Science, National University of Defense Technology, Changsha, 410073, P. R. China

    Xiao Wang, Hao Zhang & Zhi Xiang Li

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  1. Xiao Wang
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  2. Hao Zhang
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  3. Zhi Xiang Li
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Correspondence to Xiao Wang.

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The first author is supported by Tianyuan Fund of Mathematics (Grant No. 10826058) from National Natural Sciences Foundation of China and MITACS Canada-China Thematic Program

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Wang, X., Zhang, H. & Li, Z.X. Oscillation for a class of diffusive hematopoiesis model with several arguments. Acta. Math. Sin.-English Ser. 28, 2345–2354 (2012). https://doi.org/10.1007/s10114-012-0100-9

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  • DOI: https://doi.org/10.1007/s10114-012-0100-9

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