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Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior
Rohisha Tuladhar1, Fidel Santamaria1, Ivanka Stamova2
1Department of Biology, University of Texas at San Antonio, San Antonio, TX 78249, USA.
Abstract:
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 n-species delayed Lotka-Volterra cooperation models to the fractional-order case under impulsive control.
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