Journal of Jilin University Science Edition ›› 2018, Vol. 56 ›› Issue (5): 1067-1072.
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SONG Ying, SUN Ning
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Abstract: We considered the first exit time problem in diffusion model of chemical reaction. Firstly, we transformed the problem of stochastic differential equation into a boundary value problem of partial differential equation. Secondly, we used the coordinate transformation and asymptotic expansion of singular perturbation to obtain the first order approximate solution. Finally, we gave the results combined with the asymptotic method of Laplace integral.
Key words: first exit time, stochastic differential equation, singular perturbation
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SONG Ying, SUN Ning. Singular Perturbation Problems inDiffusion Model of Chemical Reactions[J].Journal of Jilin University Science Edition, 2018, 56(5): 1067-1072.
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