On a stochastic reaction-diffusion system modeling pattern formation on seashells.
Starting from the Gierer-Meinhardt setting, we propose a stochastic model to characterize pattern formation on seashells under the influence of random space-time fluctuations. We prove the existence of a positive solution for the resulting system and perform numerical simulations in order to assess the behavior of the solution in comparison with the deterministic approach.
Kelkel
Jan
J
Institute for Applied Analysis and Numerical Simulation, University of Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany. jan.kelkel@mathematik.uni-stuttgart.de
Surulescu
Christina
C
D019521:Body Patterning; D003198:Computer Simulation / Q000706:statistics & numerical data; D004058:Diffusion; D015233:Models, Statistical; D013269:Stochastic Processes