Evolution of Biological Systems in Random Media: Limit Theorems and Stability

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This text in biomathematics includes new models of stochastic non-linear biological systems and new results for these systems in 2003. These results are based on the new results for non-linear difference and differential equations in random media. The 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. It includes results for scalar and vector difference equations in random media with applications to the stochastic biological systems and provides results for stochastic non-linear biological systems, such as averaging, merging, diffusion approximation, normal deviations and stability.