MEAN EXIT TIME AND ESCAPE PROBABILITY FOR A TUMOR GROWTH SYSTEM UNDER NON-GAUSSIAN NOISE

DOI10.1142/S0218127412500903zbMath1258.34106arXiv1111.6540MaRDI QIDQ4908772

Jian Ren, Ting Gao, Xingye Kan, Chujin Li, Jin-qiao Duan

Publication date: 6 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6540

zbMATH Keywords

bifurcationnon-Gaussian noisefractional Laplacian operatortumor growth model\(\alpha\)-stable Lévy motionquantifying uncertainty

Mathematics Subject Classification ID

Cell biology (92C37) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08) Bifurcation of solutions to ordinary differential equations involving randomness (34F10)

Related Items (5)

Asymmetric non-Gaussian effects in a tumor growth model with immunization ⋮ Most probable dynamics of the tumor growth model with immune surveillance under cross-correlated noises ⋮ Most probable trajectory of a tumor model with immune response subjected to asymmetric Lévy noise ⋮ Stochastic differential equation models for tumor population growth ⋮ The Role of Random Structures in Tissue Formation: From a Viewpoint of Morphogenesis in Stochastic Systems

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• Lévy Processes and Stochastic Calculus
• An Extension Problem Related to the Fractional Laplacian
• BOUNDARY PROBLEMS FOR FRACTIONAL LAPLACIANS

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