Approximation of Population Processes (CBMS-NSF Regional Conference Series in Applied Mathematics No. 36)
By: Thomas G. Kurtz (author), Ron Rozier (series_editor)Paperback
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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.
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.
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- ID: 9780898711691
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