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.
Funder
National Institutes of Health
Subject
General Physics and Astronomy
Reference65 articles.
1. Lotka-Volterra and Related Systems: Recent Developments in Population Dynamics,2013
2. Stability and Oscillations in Delay Differential Equations of Population Dynamics;Gopalsamy,1992
3. Global Dynamical Properties of Lotka-Volterra Systems;Takeuchi,1996
4. Stage-structured control on a class of predator-prey system in almost periodic environment
5. Asymptotically periodic solution of N-species cooperation system with time delay
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献