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Article

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

by 1,2
1
Department of Mathematics, Chengdu Normal University, Chengdu 611130, China
2
Institute of Financial Mathematics, Chengdu Normal University, Chengdu 611130, China
Academic Editor: Mustafa R.S. Kulenovic
Mathematics 2021, 9(16), 1943; https://doi.org/10.3390/math9161943
Received: 11 July 2021 / Revised: 5 August 2021 / Accepted: 12 August 2021 / Published: 14 August 2021
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. View Full-Text
Keywords: Minimax principle; linear approximation theory; ecosystem; steady state solution Minimax principle; linear approximation theory; ecosystem; steady state solution
MDPI and ACS Style

Rao, R. Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle. Mathematics 2021, 9, 1943. https://doi.org/10.3390/math9161943

AMA Style

Rao R. Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle. Mathematics. 2021; 9(16):1943. https://doi.org/10.3390/math9161943

Chicago/Turabian Style

Rao, Ruofeng. 2021. "Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle" Mathematics 9, no. 16: 1943. https://doi.org/10.3390/math9161943

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