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arXiv · 1111.6540

Mean Exit Time and Escape Probability for a Tumor Growth System under Non-Gaussian Noise

Jian Ren·Chujin Li·Ting Gao·Xingye Kan·Jinqiao Duan
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Abstract

Effects of non-Gaussian $α-$stable Lévy noise on the Gompertz tumor growth model are quantified by considering the mean exit time and escape probability of the cancer cell density from inside a safe or benign domain. The mean exit time and escape probability problems are formulated in a differential-integral equation with a fractional Laplacian operator. Numerical simulations are conducted to evaluate how the mean exit time and escape probability vary or bifurcates when $α$ changes. Some bifurcation phenomena are observed and their impacts are discussed.

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Jian Ren, Chujin Li, Ting Gao, Xingye Kan, Jinqiao Duan. 2011-11-28. Mean Exit Time and Escape Probability for a Tumor Growth System under Non-Gaussian Noise. https://doi.org/10.1142/s0218127412500903

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