Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior

We present a biological fractional n-species delayed cooperation model of Lotka-Volterra type. The considered fractional derivatives are in the Caputo sense. Impulsive control strategies are applied for several stability properties of the states, namely Mittag-Leffler stability, practical stability...

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Autores principales: Tuladhar, Rohisha, Santamaria, Fidel, Stamova, Ivanka
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7597273/
https://www.ncbi.nlm.nih.gov/pubmed/33286739
http://dx.doi.org/10.3390/e22090970
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author Tuladhar, Rohisha
Santamaria, Fidel
Stamova, Ivanka
author_facet Tuladhar, Rohisha
Santamaria, Fidel
Stamova, Ivanka
author_sort Tuladhar, Rohisha
collection PubMed
description We present a biological fractional n-species delayed cooperation model of Lotka-Volterra type. The considered fractional derivatives are in the Caputo sense. Impulsive control strategies are applied for several stability properties of the states, namely Mittag-Leffler stability, practical stability and stability with respect to sets. The proposed results extend the existing stability results for integer-order [Formula: see text] species delayed Lotka-Volterra cooperation models to the fractional-order case under impulsive control.
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spelling pubmed-75972732020-11-09 Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior Tuladhar, Rohisha Santamaria, Fidel Stamova, Ivanka Entropy (Basel) Article We present a biological fractional n-species delayed cooperation model of Lotka-Volterra type. The considered fractional derivatives are in the Caputo sense. Impulsive control strategies are applied for several stability properties of the states, namely Mittag-Leffler stability, practical stability and stability with respect to sets. The proposed results extend the existing stability results for integer-order [Formula: see text] species delayed Lotka-Volterra cooperation models to the fractional-order case under impulsive control. MDPI 2020-08-31 /pmc/articles/PMC7597273/ /pubmed/33286739 http://dx.doi.org/10.3390/e22090970 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Tuladhar, Rohisha
Santamaria, Fidel
Stamova, Ivanka
Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior
title Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior
title_full Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior
title_fullStr Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior
title_full_unstemmed Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior
title_short Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior
title_sort fractional lotka-volterra-type cooperation models: impulsive control on their stability behavior
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7597273/
https://www.ncbi.nlm.nih.gov/pubmed/33286739
http://dx.doi.org/10.3390/e22090970
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