Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 52, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2019.103024
Keywords
Non-autonomous Lotka-Volterra system; Hunting cooperation; Logistic growth; Periodic solution; Existence; Localization
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Funding
- AEI/FEDER, UE [MTM2016-75140-P]
- Xunta de Galicia, Spain [ED481A-2018/080]
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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. (C) 2019 Elsevier Ltd. All rights reserved.
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