Evolution of Biological Systems in Random Media: Limit Theorems and Stability / Edition 1

by Anatoly Swishchuk, Jianhong Wu

Overview

This is a new book in biomathematics, which includes new models of shastic 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 shastic 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 shastic biological systems in 1);
-New results for shastic non-linear biological systems, such as averaging, merging, diffusion approximation, normal deviations and stability;
-New approach to the study of shastic biological systems in random media such as random evolution approach.

Product Details

ISBN-13:	9781402015540
Publisher:	Springer Netherlands
Publication date:	10/31/2003
Series:	Mathematical Modelling: Theory and Applications , #18
Edition description:	2003
Pages:	218
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

1 Random Media.- 2 Limit Theorems for Difference Equations in Random Media.- 3 Epidemic Models.- 4 Genetic Selection Models.- 5 Branching Models.- 6 Demographic Models.- 7 Logistic Growth Models.- 8 Predator-Prey Models.