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Optimal harvesting during an invasion of a sublethal plant pathogen

Author

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  • GAFF, HOLLY
  • JOSHI, HEM RAJ
  • LENHART, SUZANNE

Abstract

Plant pathogens are quite destructive to cash crops throughout the world, resulting in potentially devastating financial losses. This work expands recently developed optimal control theory for an integrodifference model to a mathematical system which includes an integrodifference component. This system models a highly simplified plant pathogen system for which the optimal harvesting scheme is derived. An adjoint system is introduced to characterize the optimal harvesting pattern. This analysis shows that, while it may not be possible to prevent losses upon discovery of the pathogen in an area, it is theoretically possible to significantly cut those losses by culling an area around the initial infection.

Suggested Citation

  • Gaff, Holly & Joshi, Hem Raj & Lenhart, Suzanne, 2007. "Optimal harvesting during an invasion of a sublethal plant pathogen," Environment and Development Economics, Cambridge University Press, vol. 12(5), pages 673-686, October.
    • Handle: RePEc:cup:endeec:v:12:y:2007:i:05:p:673-686_00
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    Cited by:

    1. Perrings, Charles, 2014. "Environment and development economics 20 years on," Environment and Development Economics, Cambridge University Press, vol. 19(3), pages 333-366, June.
    2. Eli Fenichel & Timothy Richards & David Shanafelt, 2014. "The Control of Invasive Species on Private Property with Neighbor-to-Neighbor Spillovers," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 59(2), pages 231-255, October.

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