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

Publication date: April 2020Source: Nonlinear Analysis: Real World Applications, Volume 52Author(s): Cristina Lois-Prados, Radu PrecupAbstractThe 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.

Source: Nonlinear Analysis: Real World Applications - September 14, 2019 Category: Research Source Type: research