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Spatial-temporal patterns of a two age structured population model with spatial non-locality

机译：两个年龄结构化人口模型的空间模式，具有空间非局部性

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摘要

The spatial-temporal patterns of the solutions to a differential equation with non-local delayed feedback that models the population dynamics of a two-stage species have been studied in this paper. The effects of the maturation time and immature mobility constant on the existence and stability of both spatially homogeneous and inhomogeneous periodic solutions are investigated by studying the Hopf bifurcation at the spatially homogeneous steady state and computing center manifold. Our results show that the bifurcated homogeneous periodic solutions are stable while inhomogeneous periodic solutions will eventually tend to homogeneous periodic solutions after transient oscillations. Furthermore, increasing of the immature mobility constant will weaken the periodic oscillation and shorten the transient oscillation time. Numerical simulations are given at last to verify our results. (C) 2019 Elsevier Ltd. All rights reserved.
机译：本文研究了模拟两级物种的群体动态的非本地延迟反馈的微分方程的空间模式。通过在空间均匀稳态和计算中心歧管上研究Hopf分叉来研究成熟时间和不成熟的迁移率恒定对空间均匀和不均匀周期性溶液的存在和稳定性的影响。我们的研究结果表明，分叉的均匀周期溶液稳定，而不均匀的周期性溶液最终将趋于在瞬态振荡之后倾向于均匀的周期性溶液。此外，增加不成熟的迁移率常数将削弱周期性振荡并缩短瞬态振荡时间。最后给出了数值模拟来验证我们的结果。 （c）2019 Elsevier Ltd.保留所有权利。

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