Title: Evolution of Biological Systems in Random Media: Limit Theorems and Stability
Description: 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.
Subjects: Mathematics, Distribution (Probability theory), Human genetics, Epidemiology, Population, Biological control systems, Random fields, Probabilities, Differential equations, Mathematical and Computational Biology, Probability Theory and Stochastic Processes, Population Economics