Ebook: Evolution of Biological Systems in Random Media: Limit Theorems and Stability
- Tags: Mathematical and Computational Biology, Probability Theory and Stochastic Processes, Epidemiology, Human Genetics, Population Economics
- Series: Mathematical Modelling: Theory and Applications 18
- Year: 2003
- Publisher: Springer Netherlands
- Edition: 1
- Language: English
- pdf
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.
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.
Content:
Front Matter....Pages i-xx
Random Media....Pages 1-28
Limit Theorems For Difference Equations in Random Media....Pages 29-85
Epidemic Models....Pages 87-115
Genetic Selection Models....Pages 117-140
Branching Models....Pages 141-156
Demographic Models....Pages 157-173
Logistic Growth Models....Pages 175-185
Predator-Prey Models....Pages 187-207
Back Matter....Pages 209-218
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.
Content:
Front Matter....Pages i-xx
Random Media....Pages 1-28
Limit Theorems For Difference Equations in Random Media....Pages 29-85
Epidemic Models....Pages 87-115
Genetic Selection Models....Pages 117-140
Branching Models....Pages 141-156
Demographic Models....Pages 157-173
Logistic Growth Models....Pages 175-185
Predator-Prey Models....Pages 187-207
Back Matter....Pages 209-218
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