A discrete mutualism model: Analysis and exploration of a financial application

We perform a stability analysis on a discrete analogue of a known, continuous model of mutualism. We illustrate how the introduction of delays affects the asymptotic stability of the system's positive nontrivial equilibrium point. In the second part of the paper we explore the insights that the...

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Veröffentlicht in:Applied numerical mathematics 2020-03, Vol.149, p.141-152
Hauptverfasser: Roberts, J.A., Kavallaris, N.I., Rowntree, A.P.
Format: Artikel
Sprache:eng
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Zusammenfassung:We perform a stability analysis on a discrete analogue of a known, continuous model of mutualism. We illustrate how the introduction of delays affects the asymptotic stability of the system's positive nontrivial equilibrium point. In the second part of the paper we explore the insights that the model can provide when it is used in relation to interacting financial markets. We also note the limitations of such an approach.
ISSN:0168-9274
1873-5460
1873-5460
DOI:10.1016/j.apnum.2019.09.008