Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

Version 1 : Received: 11 July 2021 / Approved: 12 July 2021 / Online: 12 July 2021 (12:05:12 CEST)
Version 2 : Received: 5 August 2021 / Approved: 5 August 2021 / Online: 5 August 2021 (11:33:07 CEST)

A peer-reviewed article of this Preprint also exists.

Rao, R. Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle. Mathematics 2021, 9, 1943. Rao, R. Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle. Mathematics 2021, 9, 1943.

Journal reference: Mathematics 2021, 9, 1943
DOI: 10.3390/math9161943

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

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

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