Asymptotic behaviors of a size-structured population model |
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Authors: | Xian-long Fu Qiong Wu |
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Institution: | 1.Department of Mathematics, Shanghai Key Laboratory of PMMP,East China Normal University,Shanghai,China |
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Abstract: | In this paper we devote ourselves to the study of the asymptotic behavior of a size-structured population dynamics with random diffusion and delayed birth process. Within a semigroup framework, we discuss the local stability and asynchrony respectively for the considered population system under some conditions. We use for our discussion the techniques of operator matrices, Hille-Yosida operators, positivity, spectral analysis as well as Perron-Frobenius theory. |
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