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Periodicity in a class of non-autonomous scalar equations with deviating arguments and applications to population models

机译:一类具有偏差参数的非自治标量方程的周期性及其在总体模型中的应用

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摘要

We offer sufficient and realistic criteria for the existence of positive periodic solutions for a class of non-autonomous scalar equations with deviating arguments. Both the continuous time case and the discrete time case are discussed. Our approach is based on the theory of coincidence degree and the related continuation theorem. To show the usefulness of the results obtained, we include applications to several famous population models.
机译:我们为一类具有偏差参数的非自治标量方程的正周期解的存在提供了充分而现实的标准。讨论了连续时间情况和离散时间情况。我们的方法基于重合度理论和相关的连续定理。为了说明所获得结果的有用性,我们将其应用于一些著名的人口模型。

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