Evolution of Biological Systems in Random Media: Limit Theorems and Stability Mathematical Modelling: Theory and Applications

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: 1. 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; 2.

New results for scalar and vector difference equations in random media with applications to the stochastic biological systems in 1); 3. New results for stochastic non-linear biological systems, such as averaging, merging, diffusion approximation, normal deviations and stability; 4. New approach to the study of stochastic biological systems in random media such as random evolution approach.

Intended level of readership: researchers in biomathematics, stochastic (random) dynamical systems, applied mathematics; practitioners in epidemiology, medicine, genetics, demography and fishery. Intended target groups: centres for mathematical biology, medicine, epidemiology and genetics; Graduate students in applied mathematics; societies for mathematical biology.