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Mathematics
Volume 9
Issue 16
10.3390/math9161943
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Article

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

by
Ruofeng Rao
1,2
1
Department of Mathematics, Chengdu Normal University, Chengdu 611130, China
2
Institute of Financial Mathematics, Chengdu Normal University, Chengdu 611130, China
Mathematics 2021, 9(16), 1943; https://doi.org/10.3390/math9161943
Submission received: 11 July 2021 / Revised: 5 August 2021 / Accepted: 12 August 2021 / Published: 14 August 2021
(This article belongs to the Special Issue Nonlinear Systems: Dynamics, Control, Optimization and Applications to the Science and Engineering)
Review Reports Versions Notes

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 Minimax principle; linear approximation theory; ecosystem; steady state solution

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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

APA Style

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

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