Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior
Date
2020-08-31
Authors
Tuladhar, Rohisha
Santamaria, Fidel
Stamova, Ivanka
Journal Title
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Volume Title
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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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Keywords
biological Lotka-Volterra cooperation networks, fractional derivatives, impulsive control, Mittag-Leffler stability, practical stability, stability of sets
Citation
Entropy 22 (9): 970 (2020)
Department
Neuroscience, Developmental and Regenerative Biology
Mathematics
Mathematics