Preprint
Article

Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle

This version is not peer-reviewed.

Submitted:

11 July 2021

Posted:

12 July 2021

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Abstract
This paper reports applying Minimax principle and impulsive differential inequality to derive the existence of multiple stationary solutions and the global stability of a positive stationary solution for a delayed feedback Gilpin-Ayala competition model with impulsive disturbance. The conclusion obtained in this paper reduces the conservatism of the algorithm compared with the known literature, for the impulsive disturbance is not limited to impulsive control.
Keywords: 
Minimax principle; linear approximation theory; ecosystem; steady state solution
Subject: 
Computer Science and Mathematics  -   Algebra and Number Theory
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.

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