A stochastic two-phase growth model. Academic Article

abstract

• This article proposes a stochastic growth model that starts as a Yule process and is subsequently joined with a Prendiville process when the population attains certain prescribed critical size. In other words, the model assumes a exponential growth in an early stage and logistic growth later on to reflect growth retardation caused by overcrowding. In the case that the population starts with a single unit, closed form expressions are given for the distribution of the population size and for the mean and variance functions of the process. Numerical solutions are briefly discussed for the process that starts with more than one unit.

authors

• Zheng, Qi

published proceedings

• Bull Math Biol

author list (cited authors)

• Zheng, Q.

citation count

• 2

complete list of authors

• Zheng, Q

publication date

• January 1998

publisher

• Springer Nature  Publisher

published in

• Bulletin of Mathematical Biology  Journal

keywords

• Animals
• Birth Rate
• Growth
• Markov Chains
• Models, Biological
• Mortality
• Neoplasms
• Population Density
• Population Growth
• Stochastic Processes

Digital Object Identifier (DOI)

• 10.1006/bulm.1997.0029

start page

• 151

end page

• 161

volume

• 60

issue

• 1

URL

• http://dx.doi.org/10.1006/bulm.1997.0029