Controlling a biological invasion: a non-classical dynamic economic model
研究如何最优地跨期控制生物入侵,发现入侵增长函数非凸且控制成本随规模变化,导致最优路径可能非单调或不收敛,并给出根除、维持控制或不控制的条件。
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.