Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior
| dc.contributor.author | Tuladhar, Rohisha | |
| dc.contributor.author | Santamaria, Fidel | |
| dc.contributor.author | Stamova, Ivanka | |
| dc.date.accessioned | 2021-04-19T15:22:16Z | |
| dc.date.available | 2021-04-19T15:22:16Z | |
| dc.date.issued | 2020-08-31 | |
| dc.date.updated | 2021-04-19T15:22:17Z | |
| dc.description.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. | |
| dc.description.department | Neuroscience, Developmental and Regenerative Biology | |
| dc.description.department | Mathematics | |
| dc.identifier | doi: 10.3390/e22090970 | |
| dc.identifier.citation | Entropy 22 (9): 970 (2020) | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12588/514 | |
| dc.rights | Attribution 4.0 United States | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | biological Lotka-Volterra cooperation networks | |
| dc.subject | fractional derivatives | |
| dc.subject | impulsive control | |
| dc.subject | Mittag-Leffler stability | |
| dc.subject | practical stability | |
| dc.subject | stability of sets | |
| dc.title | Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior | |
| dc.type | Article |