Approximation of population processes - Kurtz, Thomas G. 1941- (Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1981)
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Includes bibliographical references (s. 73-75)
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
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