Focusing on discrete and continuous time Markov chains and continuous time and state Markov processes, this text presents the basic theory of stochastic processes necessary to understand and apply stochastic methods to biological problems. This edition contains a new chapter on stochastic differential equations that extends basic theory to multi
Focusing on discrete and continuous time Markov chains and continuous time and state Markov processes, this text presents the basic theory of stochastic processes necessary to understand and apply stochastic methods to biological problems. This edition contains a new chapter on stochastic differential equations that extends basic theory to multi
Linda J.S. Allen is a Paul Whitfield Horn Professor in the Department of Mathematics and Statistics at Texas Tech University. Dr. Allen has served on the editorial boards of the Journal of Biological Dynamics, SIAM Journal of Applied Mathematics, Journal of Difference Equations and Applications, Journal of Theoretical Biology, and Mathematical Biosciences. Her research interests encompass mathematical population biology, epidemiology, and immunology.
Inhaltsangabe
Review of Probability Theory and an Introduction to Stochastic Processes. Discrete Time Markov Chains. Biological Applications of Discrete Time Markov Chains. Discrete Time Branching Processes. Continuous Time Markov Chains. Continuous Time Birth and Death Chains. Biological Applications of Continuous Time Markov Chains. Diffusion Processes and Stochastic Differential Equations. Biological Applications of Stochastic Differential Equations. Appendix. Index.
Review of Probability Theory and an Introduction to Stochastic Processes. Discrete Time Markov Chains. Biological Applications of Discrete Time Markov Chains. Discrete Time Branching Processes. Continuous Time Markov Chains. Continuous Time Birth and Death Chains. Biological Applications of Continuous Time Markov Chains. Diffusion Processes and Stochastic Differential Equations. Biological Applications of Stochastic Differential Equations. Appendix. Index.
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