Abstract
The onset of chaotic behavior in a generalization of the Lotka–Volterra system with three additional factors—predator satiety, predator competition for prey, and seasonal changes—is investigated. The study is based on Chirikov's resonance overlap method, which allows one to analyze the conditions of occurrence of resonances and interaction between them. Resonances emerge under the influence of the perturbation term, which models the seasonal change factor. Chirikov's resonance overlap method makes it possible to determine the value of the seasonal change factor at which the original system exhibits a chaotic behavior.
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