title: On a stochastic reaction-diffusion system modeling pattern formation on seashells.
abstract: 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.
authors: Institute for Applied Analysis and Numerical Simulation, University of Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany. jan.kelkel@mathematik.uni-stuttgart.de
authors: Jan
authors: J
authors: Kelkel
authors: Christina
authors: C
authors: Surulescu
mesh_terms: D019521:Body Patterning; D003198:Computer Simulation / Q000706:statistics & numerical data; D004058:Diffusion; D015233:Models, Statistical; D013269:Stochastic Processes