A Study of Markov Branching Process with Varying Growth Rate
DOI:
https://doi.org/10.51983/ajsat-2015.4.1.909Keywords:
Markov Branching Process, Varying growth rate, Moment generating functionAbstract
Branching processes in random environments occurs when the values of the reproduction probabilities and instantaneous reproduction rates are themselves sample paths of stochastic processes. These processes occur very naturally as models to describe the growth mechanism of biological systems. In this paper, we consider a Markov branching process with varying growth rates controlled by a random environment described by an alternating renewal process; we will derive expression for the mean number of the size of the population.
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