Dynamic Complexities of a Three-Species Beddington-DeAngelis System with Impulsive Control Strategy |
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Authors: | Hunki Baek |
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Institution: | (1) School of Science, Tianjin Polytechnic University, Tianjin, 300161, China;(2) Department of Mathematics, ShaoGuan University, ShaoGuan, GuangDong, 512005, China;(3) Department of Applied Mathematics, Dalian University of Technology, Dalian, 116023, China |
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Abstract: | By introducing the impulsive control strategy, the dynamical properties of the three-species food chain systems with Beddington-DeAngelis
functional response are investigated. Using the Floquet theory of impulsive differential equations and small amplitude perturbation
techniques, we prove that there exists an asymptotically locally stable prey-free periodic solution under some conditions,
and permanence conditions are established via the comparison theorem. Furthermore, from numerical examples, we figure out
that the system has complex dynamic behaviors. |
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Keywords: | |
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