Stochastic and deterministic models for agricultural production networks
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1.
Department of Statistics, University of North Carolina, Hill, NC
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2.
Center for Research in Scientific Computation and Department of Mathematics, North Carolina State University, Raleigh, NC
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3.
National Institute of Statistical Sciences, Research Triangle Park, NC
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4.
Department of Mathematics and Statistics, University of Louisville, KY
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5.
Department of Population Health and Pathobiology, College of Veterinary Medicine, North Carolina State University, Raleigh, NC
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Received:
01 February 2007
Accepted:
29 June 2018
Published:
01 May 2007
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MSC :
60J20, 34A34, 49Q12, 92D30.
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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.
Citation: 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. Stochastic and deterministic models for agricultural production networks[J]. Mathematical Biosciences and Engineering, 2007, 4(3): 373-402. doi: 10.3934/mbe.2007.4.373
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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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