A Model of the Dynamics of Arthropod Movement Toward Equilibrium

Linda J. Willson, Jerry H. Young and J. Alan Stark


 
ABSTRACT

Parallels are drawn between the movement and distribution of particles in a phase space and of arthropods in agroecosystems. Suppose the movement of each arthropod is modeled by a Markov process with a common transition function which is doubly stochastic and irreducible.If the interaction among arthropods is such that the time until an arthropod moves is exponentially distributed with a mean proportional to the number of arthropods on the same minor habitat, then the Bose-Einstein distribution is the equilibrium distribution. Application is made to arthropods commonly found in cotton.



Reprinted from 1987 Proceedings: Beltwide Cotton Production Research Conferences pp. 284 - 286
©National Cotton Council, Memphis TN

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Document last modified Sunday, Dec 6 1998