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

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

2011-11-28

arxiv.org/abs/1111.6540v1

Mathematics

Dynamical Systems

Scientific paper

Effects of non-Gaussian $\alpha-$stable L\'evy 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 $\alpha$ changes. Some bifurcation phenomena are observed and their impacts are discussed.

Affiliated with

Also associated with

No associations

Rating

Mean Exit Time and Escape Probability for a Tumor Growth System under Non-Gaussian Noise does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mean Exit Time and Escape Probability for a Tumor Growth System under Non-Gaussian Noise, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mean Exit Time and Escape Probability for a Tumor Growth System under Non-Gaussian Noise will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-68328