October 2023 POSITIVE PERIODIC SOLUTIONS OF NONAUTONOMOUS LOTKA–VOLTERRA DYNAMIC SYSTEMS WITH A GENERAL ATTACK RATE ON TIME SCALES
Belkis Bordj, Abdelouaheb Ardjouni
Rocky Mountain J. Math. 53(5): 1371-1385 (October 2023). DOI: 10.1216/rmj.2023.53.1371

Abstract

Our purpose is to extend the work of Lois-Prados and Precup (2020) and use the Krasnoselskii-type homotopy fixed-point theorem to prove the existence of positive periodic solutions of nonautonomous Lotka–Volterra dynamic systems with a general attack rate on time scales.

Citation

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Belkis Bordj. Abdelouaheb Ardjouni. "POSITIVE PERIODIC SOLUTIONS OF NONAUTONOMOUS LOTKA–VOLTERRA DYNAMIC SYSTEMS WITH A GENERAL ATTACK RATE ON TIME SCALES." Rocky Mountain J. Math. 53 (5) 1371 - 1385, October 2023. https://doi.org/10.1216/rmj.2023.53.1371

Information

Received: 10 May 2022; Revised: 30 July 2022; Accepted: 22 October 2022; Published: October 2023
First available in Project Euclid: 19 September 2023

MathSciNet: MR4643808
Digital Object Identifier: 10.1216/rmj.2023.53.1371

Subjects:
Primary: 34B18 , 34K13 , 34K42

Keywords: Fixed points , Lotka–Volterra dynamic systems , positive periodic solutions , Time scales

Rights: Copyright © 2023 Rocky Mountain Mathematics Consortium

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Vol.53 • No. 5 • October 2023
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