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.

Evolution of Biological Systems in Random Media: Limit Theorems and Stability (Mathematical Modelling: Theory and Applications, 18)

Business & Money

Swishchuk, Anatoly

Jianhong Wu

Economics

Springer

Data clustering, also known as cluster analysis, is an unsupervised process that divides a set of objects into homogeneous groups. Since the publication of the first edition of this monograph in 2007, development in the area has exploded, especially in clustering algorithms for big data and open-source software for cluster analysis. This second edition reflects these new developments. Data Clustering: Theory, Algorithms, and Applications, Second Edition: <ul> <li>covers the basics of data clustering,</li> <li>includes a list of popular clustering algorithms, and</li> <li>provides program code that helps users implement clustering algorithms.</li> </ul>

Data Clustering: Theory, Algorithms, and Applications, Second Edition

Guojun Gan

Chaoqun Ma

SIAM: Society for Industrial and Applied Mathematics

In the design of a neural network, either for biological modeling, cognitive simulation, numerical computation or engineering applications, it is important to investigate the network's computational performance which is usually described by the long-term behaviors, called dynamics, of the model equations. The purpose of this book is to give an introduction to the mathematical modeling and analysis of networks of neurons from the viewpoint of dynamical systems.

Introduction to Neural Dynamics and Signal Transmission Delay (de Gruyter Series In Nonlinear Analysis And Applications)

Politics & Social Sciences

Social Sciences

Walter de Gruyter

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.

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

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Books by Jianhong Wu