Global Behavior of a Discrete Survival Model with Several Delays

Global Behavior of a Discrete Survival Model with Several Delays

The difference equation yn+1−yn=−αyn+∑j=1mβje−γjyn−kj is studied and some sufficient conditions which guarantee that all solutions of the equation are oscillatory, or that the positive equilibrium of the equation is globally asymptotically stable, are obtained.

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Veröffentlicht in:Journal of Applied Mathematics 2013-01, Vol.2013 (2013), p.265-270-825
Hauptverfasser: Xu, Meirong, Wang, Yuzhen
Format: Artikel
Sprache:eng
Schlagworte:
Delay equations
Differential equations
Mathematical research
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Zusammenfassung:The difference equation yn+1−yn=−αyn+∑j=1mβje−γjyn−kj is studied and some sufficient conditions which guarantee that all solutions of the equation are oscillatory, or that the positive equilibrium of the equation is globally asymptotically stable, are obtained.
ISSN:1110-757X
1687-0042
DOI:10.1155/2013/932607