Stochastic and deterministic models for agricultural production networks

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

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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: 01 February 2007 Accepted: 29 June 2018 Published: 01 May 2007
MSC : 60J20, 34A34, 49Q12, 92D30.

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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