Evans, Parker; Han, Jianlong (Southern Utah University)
Faculty Advisor: Han, Jianlong (Southern Utah University, Mathematics)
A Lengyel-Epstein system, describing the reactions of chlorite-iodide and malonic acid(CIMA), is studied through methods of numerical analysis. These reactions, describing certain natural patterns such as the recurring stripes in zebras, are examples of Turing Structures, with a non-diffusion rate application. The stability of the steady state solution of this system is analyzed to modelend-term behavior of such phenomena. We develop some numerical schemes that guarantee positive solutions and realistic applications. These numerical schemes model and verify of the theoretical results for the system.