A general seasonally-varying predator–prey model with Allee effect in the prey growth is investigated. The analysis is performed only on the basis of some properties determining the shape of the prey growth rate and the functional responses. General conditions for coexistence are determined, both in the case of weak and strong Allee effect. Finally, a modified Leslie–Gower predator–prey model with Allee effect is investigated. Numerical results illustrate the qualitative behaviors of the system, in particular the presence of periodic orbits.

中文翻译：

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季节性变化的具有Allee效应的捕食系统的共存

研究了具有Allee效应的猎物生长的一般季节变化的捕食者－猎物模型。仅基于确定猎物生长速率的形状和功能响应的某些属性执行分析。无论是弱Allee效应还是强Allee效应，都确定了共存的一般条件。最后，研究了具有Allee效应的改进的Leslie-Gower捕食者-猎物模型。数值结果说明了系统的定性行为，特别是周期性轨道的存在。