Effect of randomly fluctuating environment on autotroph-herbivore model system.
Saha, Tapan, Bandyopadhyay, Malay (2004)
International Journal of Mathematics and Mathematical Sciences
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Saha, Tapan, Bandyopadhyay, Malay (2004)
International Journal of Mathematics and Mathematical Sciences
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Gard, Thomas C. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Samanta, G.P. (2011)
International Journal of Stochastic Analysis
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W. Klonecki (1964)
Colloquium Mathematicae
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Beáta Stehlíková, Daniel Ševčovič (2009)
Kybernetika
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In this paper we are interested in term structure models for pricing zero coupon bonds under rapidly oscillating stochastic volatility. We analyze solutions to the generalized Cox–Ingersoll–Ross two factors model describing clustering of interest rate volatilities. The main goal is to derive an asymptotic expansion of the bond price with respect to a singular parameter representing the fast scale for the stochastic volatility process. We derive the second order asymptotic expansion of...
Gard, Thomas C. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Brianzoni, Serena, Mammana, Cristiana, Michetti, Elisabetta, Zirilli, Francesco (2008)
Discrete Dynamics in Nature and Society
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L. Sanz, J. A. Alonso (2010)
Mathematical Modelling of Natural Phenomena
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Approximate aggregation techniques consist of introducing certain approximations that allow one to reduce a complex system involving many coupled variables obtaining a simpler ʽʽaggregated systemʼʼ governed by a few variables. Moreover, they give results that allow one to extract information about the complex original system in terms of the behavior of the reduced one. Often, the feature that allows one to carry out such a reduction is the ...