A stochastic age-structured population model
Date
1998-05
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Publisher
Texas Tech University
Abstract
Age-structured models for biological species have received much study. In this thesis the age-structured population model is extended to a stochastic agestructured model. The model is solved numerically for two age-structured population examples. The calculational results are compared with Monte Carlo calculations. The results indicate that the two calculational methods are in agreement. Persistence times for two age-structured populations are then studied computationally. It is shown that persistence times increase as the number of age groups increases. Also, persistence times are higher for a stohastic age-structured population than for a nonstochastic (or deterministic) age-structured population.
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Keywords
Stochastic processes, Age-structured populations, Population, Stochastic differential equations