The period in the Lotka-Volterra system is monotonic
type: Item
instance of: scholarly article
title: The period in the Lotka-Volterra system is monotonic
zbMATH Open document ID: 0588.92018
DOI: 10.1016/0022-247X(86)90076-4
author: Jörg Waldvogel
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: Periodic solutions in a class of Hamiltonian systems with one degree of freedom containing the Lotka-Volterra system are considered. Their period is represented as an integral appropriate for numerical evaluation as well as for theoretical investigations. The monotonicity of the period in the Lotka-Volterra system follows as a simple consequence.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 37-XX
Mathematics Subject Classification ID: 92B05
zbMATH DE Number: 3945945
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: Lotka-Volterra system
zbMATH Keywords: monotonicity of the period
MaRDI profile type: Publication
cites work: Q3867617
cites work: A remark on the period of the periodic solution in the Lotka-Volterra system
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cites work: Global behaviour of solution branches for some Neumann problems depending on one or several parameters.
cites work: The Period in the Volterra–Lotka Predator-Prey Model
description: scientific article; zbMATH DE number 3945945