Existence and stability of periodic solutions of a Lotka-Volterra system
Nguyen Thi Hoai Linh, Ta Hong Quang, Ta Viet Ton
TL;DR
This paper analyzes a three-species Lotka-Volterra model with Beddington-DeAngelis responses, establishing conditions for positive periodic solutions and their stability, supported by numerical examples.
Contribution
It provides new sufficient conditions for the existence and stability of periodic solutions in a three-species predator-prey model with specific functional responses.
Findings
Conditions for positive periodic solutions established
Global stability of boundary solutions proven
Numerical examples illustrate theoretical results
Abstract
In this paper, we study a Lotka-Volterra model which contains two prey and one predator with the Beddington-DeAngelis functional responses. First, we establish a set of sufficient conditions for existence of positive periodic solutions. Second, we investigate global asymptotic stability of boundary periodic solutions. Finally, we present some numerical examples.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Nonlinear Differential Equations Analysis · Fractional Differential Equations Solutions