This paper is devoted to the existence of at least one positive periodic solution for generalized Basener-Ross model with time-dependent coefficients. Our proof is based on Manásevich-Mawhin continuation theorem, Leray-Schauder alternative principle, fixed point theorem in cones. Moreover, we obtain that there are at least two positive periodic solutions for this model.

中文翻译：

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广义Basener-Ross模型的正周期解

本文致力于研究具有时变系数的广义Basener-Ross模型的至少一个正周期解的存在。我们的证明是基于Manásevich-Mawhin连续定理，Leray-Schauder替代原理，圆锥不动点定理。此外，我们得到该模型至少有两个正周期解。