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Approximation of Population ProcessesApproximation of Population Processes

Thomas G. Kurtz



CBMS-NSF Regional Conference Series in Applied Mathematics 36

Population processes are stochastic models for systems involving a number of similar particles. Examples include models for chemical reactions and for epidemics. The model may involve a finite number of attributes, or even a continuum.

This monograph considers approximations that are possible when the number of particles is large. The models considered will involve a finite number of different types of particles.

Contents

Weak convergence; Markov Processes and their Generators; Convergence to Markov Processes; Diffusion Approximations; Branching Markov Processes; Markov Processes as Random Time Changes; Approximations of Density Dependent Jump Markov Processes; Epidemic Models; Random Replication with Errors.

1981 / viii + 75 pages / Softcover / ISBN-13: 978-0-898711-69-1 / ISBN-10: 0-89871-169-X /
List Price $44.50 / SIAM/CBMS Member Price $31.15 / Order Code CB36
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