Evolution of Biological Systems in Random Media: Limit Theorems and Stability
Author | : Anatoly Swishchuk |
Publisher | : Springer Science & Business Media |
Total Pages | : 230 |
Release | : 2013-04-17 |
ISBN-10 | : 9789401715065 |
ISBN-13 | : 9401715068 |
Rating | : 4/5 (65 Downloads) |
Book excerpt: This is a new book in biomathematics, which includes new models of stochastic non-linear biological systems and new results for these systems. These results are based on the new results for non-linear difference and differential equations in random media. This book contains: -New stochastic non-linear models of biological systems, such as biological systems in random media: epidemic, genetic selection, demography, branching, logistic growth and predator-prey models; -New results for scalar and vector difference equations in random media with applications to the stochastic biological systems in 1); -New results for stochastic non-linear biological systems, such as averaging, merging, diffusion approximation, normal deviations and stability; -New approach to the study of stochastic biological systems in random media such as random evolution approach.