Asymmetric non-Gaussian effects in a tumor growth model with immunization

作者：Hao, Mengli; Duan, Jinqiao^*; Song, Renming; Xu, Wei

来源：Applied Mathematical Modelling, 2014, 38(17-18): 4428-4444.

DOI：10.1016/j.apm.2014.02.026

• Tumor growth with immunization
• Stochastic dynamics of tumor growth
• Asymmetric alpha-stable Levy motion
• Levy jump measure
• Mean residence time
• Escape probability

The dynamical evolution of a tumor growth model, under immune surveillance and subject to asymmetric non-Gaussian alpha-stable Levy noise, is explored. The lifetime of a tumor staying in the range between the tumor-free state and the stable tumor state, and the likelihood of noise-induced tumor extinction, are characterized by the mean residence time and the escape probability, respectively. For various initial densities of tumor cells, the mean residence time and the escape probability are computed with different noise parameters. It is observed that unlike the Gaussian noise or symmetric non-Gaussian noise, the asymmetric non-Gaussian noise plays a constructive role in the tumor evolution in this simple model. By adjusting the noise parameters, the mean residence time can be shortened and the escape probability can be increased, simultaneously. This suggests that a tumor may be mitigated with higher probability in a shorter time, under certain external environmental stimuli.

• 出版日期2014-9-1
• 单位西北工业大学