Numerical simulation of stochastic replicator models in catalyzed RNA-like polymers

Andreas Rößler, Mohammed Seaïd*, Mostafa Zahri

*Corresponding author for this work
2 Citations (Scopus)


A stochastic model for replicators in catalyzed RNA-like polymers is presented and numerically solved. The model consists of a system of reaction-diffusion equations describing the evolution of a population formed by RNA-like molecules with catalytic capabilities in a prebiotic process. The diffusion effects and the catalytic reactions are deterministic. A stochastic excitation with additive noise is introduced as a force term. To numerically solve the governing equations we apply the stochastic method of lines. A finite-difference reaction-diffusion system is constructed by discretizing the space and the associated stochastic differential system is numerically solved using a class of stochastic Runge-Kutta methods. Numerical experiments are carried out on a prototype of four catalyzed selfreplicator species along with an activated and an inactivated residues. Results are given in two space dimensions.

Original languageEnglish
JournalMathematics and Computers in Simulation
Issue number12
Pages (from-to)3577-3586
Number of pages10
Publication statusPublished - 01.08.2009


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