Permanence for a Discrete Model with Feedback Control and Delay | Zendy

Yong-Hong Fan | Zendy; Lin-Lin Wang | Zendy

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Permanence for a Discrete Model with Feedback Control and Delay

Author(s) -

Yong-Hong Fan,

Lin-Lin Wang

Publication year - 2008

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2008/945109

Subject(s) - control theory (sociology) , feedback control , control (management) , mathematics , chen , population model , comparison theorem , computer science , population , small gain theorem , stability (learning theory) , control engineering , artificial intelligence , medicine , ecology , machine learning , engineering , biology , environmental health

The permanence of a single-species population discrete model with feedback control is considered. We found that if we use the method of comparison theorem, then the additional condition, to some extent, is necessary. But for the system itself, this condition may not be necessary. Here, we use new methods instead of the comparison theorem to get the permanence of the system in consideration; the additional condition in Chen's paper (2007) is deleted

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