Dynamic Behaviors of N-Species Cooperation System with Distributed Delays and Feedback Controls on Time Scales

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Abstract: This paper is concerned with a n-species cooperation system with distributed delays and feedback con- trols on time scales. For general nonautonomous case, by using differential inequality theory and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence and the global attractivity of the system are obtained. For the almost periodic case, by using the Razumikhin type theorem, sufficient conditions which guarantee the existence of a positive almost periodic solution of the system are obtained. Finally, an example and numerical simulations are presented to illustrate the feasibility and effectiveness of the results.

WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 9, 2014, Art. #31

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Meng Hu, Lili Wang, "Dynamic Behaviors of N-Species Cooperation System with Distributed Delays and Feedback Controls on Time Scales," WSEAS Transactions on Systems and Control, vol. 9, pp. 291-301, 2014, DOI:
Meng Hu, Lili Wang. Dynamic Behaviors of N-Species Cooperation System with Distributed Delays and Feedback Controls on Time Scales. WSEAS Transactions on Systems and Control. 2014;9:291-301.
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