Abstract:We study in this paper a hierarchical size-structured population dynamics model with environment feedback and delayed birth process. We are concerned with the asymptotic behavior, particularly on the effects of hierarchical structure and time lag on the long-time dynamics of the considered system. We formally linearize the system around a steady state and study the linearized system by C 0-semigroup framework and spectral analysis methods. Then we use the analytical results to establish the linearized stabilit… Show more
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