Stochastic and deterministic models for agricultural production networks

P. Bai; H.T. Banks; S. Dediu; A.Y. Govan; M. Last; A.L. Lloyd; H.K. Nguyen; M.S. Olufsen; G. Rempala; B.D. Slenning

doi:10.3934/mbe.2007.4.373

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2007, Volume 4, Issue 3: 373-402. Doi: 10.3934/mbe.2007.4.373

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Stochastic and deterministic models for agricultural production networks

1.
Department of Statistics, University of North Carolina, Hill, NC
2.
Center for Research in Scientific Computation and Department of Mathematics, North Carolina State University, Raleigh, NC
3.
National Institute of Statistical Sciences, Research Triangle Park, NC
4.
Department of Mathematics and Statistics, University of Louisville, KY
5.
Department of Population Health and Pathobiology, College of Veterinary Medicine, North Carolina State University, Raleigh, NC

Received: February 2007

Revised: March 2007

Published: April 2007

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Abstract

An approach to modeling the impact of disturbances in an agricultural production network is presented. A stochastic model and its approximate deterministic model for averages over sample paths of the stochastic system are developed. Simulations, sensitivity and generalized sensitivity analyses are given. Finally, it is shown how diseases may be introduced into the network and corresponding simulations are discussed.

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Mathematics Subject Classification: 60J20, 34A34, 49Q12, 92D30.

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