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

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

We present a biological fractional <i>n</i>-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, p...

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Bibliographic Details
Main Authors: Rohisha Tuladhar, Fidel Santamaria, Ivanka Stamova
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Entropy
Subjects:
biological Lotka-Volterra cooperation networks
fractional derivatives
impulsive control
Mittag-Leffler stability
practical stability
stability of sets
Online Access:https://www.mdpi.com/1099-4300/22/9/970
Description
Summary:We present a biological fractional <i>n</i>-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 <inline-formula><math display="inline"><semantics><mrow><mi>n</mi><mo>−</mo></mrow></semantics></math></inline-formula>species delayed Lotka-Volterra cooperation models to the fractional-order case under impulsive control.
ISSN:1099-4300

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