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An improved stochastic model allowing interaction among individuals

Published online by Cambridge University Press:  14 July 2016

P. B. Cerrito
P. B. Cerrito*
Affiliation:
University of South Florida
*
∗ Postal address: Department of Mathematics, University of South Florida, Tampa, FL 33620, USA.
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Abstract

The purpose of this paper is to explore the properties of a new model which can describe the interaction among individuals. Various other models have been proposed, but all assume that each individual acts independently of all others. Our model permits the assumption that individuals can be influenced and dominated by other individuals. We also demonstrate how this model can describe the interaction of various species in an ecosystem. This model will lead naturally to the definition of a population index of diversity. A means of estimating the values of the model will also be given.

Keywords

MARKOV CHAINSBEHAVIOR INTERACTIONDIVERSITY INDEXDENSITY ESTIMATIONREGULAR SEMIGROUP

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 25 , Issue 3 , September 1988 , pp. 492 - 500
Copyright
Copyright © Applied Probability Trust 1988 

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References

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