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Optimal harvesting during an invasion of a sublethal plant pathogen

机译:亚致死植物病原体入侵期间的最佳收获

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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.
机译:植物病原体对全世界的经济作物具有相当大的破坏力,导致潜在的破坏性经济损失。这项工作将最近开发的用于积分差模型的最优控制理论扩展到包括积分差组件的数学系统。该系统对高度简化的植物病原体系统进行建模,从而得出最佳的收获方案。引入了一个辅助系统来表征最佳收获方式。该分析表明,虽然不可能在发现某个区域的病原体时防止损失,但从理论上讲,可以通过在初始感染周围剔除一个区域来显着减少这些损失。

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