Controlling a biological invasion: a non-classical dynamic economic model

Controlling a biological invasion: a non-classical dynamic economic model
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控制生物入侵:非经典动态经济模型

DOI:
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发表时间:
2008
期刊:
影响因子:
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通讯作者:
Santanu Roy
Santanu Roy
中科院分区:
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文献类型:
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作者:
Lars J. Olson;Santanu Roy

文献摘要

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研究了一类生物入侵的最优跨期控制问题。入侵增长函数是非凸的,控制成本取决于入侵规模,从而导致非经典动态优化问题。我们的长期动态行为的最佳控制的入侵和相应的影响,公共政策的特点。控制和下一个周期的入侵规模可能是当前入侵规模的非单调函数;相关的最优时间路径可能不是单调或收敛的。我们提供的条件下,根除,维护控制,没有控制是最优的政策。
This paper analyzes the optimal intertemporal control of a biological invasion. The invasion growth function is non-convex and control costs depend on the invasion size, resulting in a non-classical dynamic optimization problem. We characterize the long run dynamic behavior of an optimally controlled invasion and the corresponding implications for public policy. Both control and the next-period invasion size may be non-monotone functions of the current invasion size; the related optimal time paths may not be monotone or convergent. We provide conditions under which eradication, maintenance control, and no control are optimal policies.