Effects of non-Gaussian -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 changes. Some bifurcation phenomena are observed and their impacts are discussed.
- -stable Lévy motion
- Fractional Laplacian operator
- non-Gaussian noise
- quantifying uncertainty
- tumor growth model