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Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation stationary front
2011/3/1
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Continuity correction for barrier options in jump-diffusion models
Barrier option Bessel process Continuity correction Exponential L´ evy model
2011/2/22
The aim of this paper is to study the continuity correction for barrier options in jump-diffusion models. For this purpose, we express the pay-off of a barrier option in terms of the maximum of the un...
Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion
Local Global Well-Posedness Aggregation Equations Patlak-Keller-Segel Models Degenerate Diffusion
2010/12/6
Recently, there has been a wide interest in the study of aggregation equations and Patlak-Keller-Segel (PKS) models for chemotaxis with degenerate diffusion. The focus of this paper is the unification...
Semi-Closed Form Cubature and Applications to Financial Diffusion Models
Ninomiya–Victoir method cubature method Monte Carlo simulation
2010/12/16
Cubature methods, a powerful alternative to Monte Carlo due to Kusuoka [Adv. Math. Econ. 6, 69–83, 2004] and Lyons–Victoir [Proc. R. Soc.Lond. Ser.
Finite Gelfand Pair Approaches for Ehrenfest Diffusion Model
Finite Gelfand pair Ehrenfest diffusion model complex reflection group
2010/12/1
A classical diffusion model of Ehrenfest which consists of 2-urns and n-balls is realized by a finite Gelfand pair (Hn, Sn), where Hn is the hyperoctahedral group and Sn is the symmetric group. This f...
Positive Steady States of A Prey-predator Model with Diffusion and Non-monotone Conversion Rate
A prey--predator model Steady states Existence Uniqueness Stability
2007/12/11
In this paper, we study the positive steady states of a prey--predator model with diffusion throughout and a non-monotone conversion rate under the homogeneous Dirichlet boundary condition. We obtain ...