A note on the global behavior of a nonlinear system of difference equations

Norman H. Josephy; Mihaela Predescu; Samuel W. Woolford

A note on the global behavior of a nonlinear system of difference equations

Norman H. Josephy
, Mihaela Predescu
, Samuel W. Woolford

Mathematical Sciences

Research output: Contribution to journal › Article

Abstract

This paper deals with the global asymptotic stability character of solutions of a discrete time deterministic model proposed by Wikan and Eide in Bulletin of Mathematical Biology, 66, 2004, 1685-1704. A stochastic extension of this model is proposed and discussed. Computer simulations suggest that the dynamics of the stochastic model includes a mixture of the dynamics observed in the deterministic model.

Original language	English
Pages (from-to)	19-Jan
Journal	The Australian Journal of Mathematical Analysis and Applications
Volume	8
Issue number	1
State	Published - 2011

Cite this

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title = "A note on the global behavior of a nonlinear system of difference equations",

abstract = "This paper deals with the global asymptotic stability character of solutions of a discrete time deterministic model proposed by Wikan and Eide in Bulletin of Mathematical Biology, 66, 2004, 1685-1704. A stochastic extension of this model is proposed and discussed. Computer simulations suggest that the dynamics of the stochastic model includes a mixture of the dynamics observed in the deterministic model.",

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journal = "The Australian Journal of Mathematical Analysis and Applications",

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AU - Predescu, Mihaela

AU - Woolford, Samuel W.

PY - 2011

Y1 - 2011

N2 - This paper deals with the global asymptotic stability character of solutions of a discrete time deterministic model proposed by Wikan and Eide in Bulletin of Mathematical Biology, 66, 2004, 1685-1704. A stochastic extension of this model is proposed and discussed. Computer simulations suggest that the dynamics of the stochastic model includes a mixture of the dynamics observed in the deterministic model.

AB - This paper deals with the global asymptotic stability character of solutions of a discrete time deterministic model proposed by Wikan and Eide in Bulletin of Mathematical Biology, 66, 2004, 1685-1704. A stochastic extension of this model is proposed and discussed. Computer simulations suggest that the dynamics of the stochastic model includes a mixture of the dynamics observed in the deterministic model.

M3 - Article

VL - 8

SP - 19-Jan

JO - The Australian Journal of Mathematical Analysis and Applications

JF - The Australian Journal of Mathematical Analysis and Applications

IS - 1

ER -

A note on the global behavior of a nonlinear system of difference equations

Abstract

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