RT Journal Article
T1 Positive periodic solutions for Lotka–Volterra systems with a general attack rate
A1 Lois-Prados, Cristina
A1 Precup, Radu
K1 Non-autonomous Lotka-Volterra system
K1 Hunting cooperation
K1 Logistic growth
K1 Periodic solution
K1 Existence
K1 Localization
AB 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 expression for the functional response of predators are discussed.
PB Elsevier
SN 1468-1218
YR 2020
FD 2020
LK http://hdl.handle.net/10347/31807
UL http://hdl.handle.net/10347/31807
LA eng
NO C. Lois-Prados, R. Precup (2020). Positive periodic solutions for Lotka–Volterra systems with a general attack rate. Nonlinear Analysis: Real World Applications, 52, 103024.
NO The research of Cristina Lois-Prados has been partially supported by grant MTM2016-75140-P (AEI/FEDER, UE) and grant ED481A-2018/080 from Xunta de Galicia.
DS Minerva
RD 30 abr 2026