Positive periodic solutions for Lotka-Volterra systems with a general attack rate


The paper deals with a non-autonomous Lotka–Volterra type system, which in particular may include logistic growth of the prey population and hunting cooperation between predators. We focus on the existence of positive periodic solutions by using an operator approach based on the Krasnosel’skii homotopy expansion theorem. We give sufficient conditions in order that the localized periodic solution does not reduce to a steady state. Particularly, two typical expressions for the functional response of predators are discussed.


Cristina Lois-Parados
Universidade de Santiago de Compostela, Santiago de Compostela, Spain

Radu Precup
Babes-Bolyai University, Cluj-Napoca, Romania


Non-autonomous Lotka–Volterra system Hunting cooperation; Logistic growth; Periodic solution; Existence; Localization

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C. Lois-Parados, R. Precup, Positive periodic solutions for Lotka-Volterra systems with a general attack rate, Nonlinear Anal. Real World Appl. 52 (2020), pp 17, https://doi.org/10.1016/j.nonrwa.2019.103024



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Nonlinear Analysis: Real World Applications



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