Open- and closed-loop equilibrium control of trophic chains

M. Gámez, I. López and A. Shamandy

Ecological Modelling, 2010, vol. 221, issue 16, 1839-1846

Abstract: If a nearly natural population system is deviated from its equilibrium, an important task of conservation ecology may be to control it back into equilibrium. In the paper a trophic chain is considered, and control systems are obtained by changing certain model parameters into control variables. For the equilibrium control two approaches are proposed. First, for a fixed time interval, local controllability into equilibrium is proved, and applying tools of optimal control, it is also shown how an appropriate open-loop control can be determined that actually controls the system into the equilibrium in given time. Another considered problem is to control the system to a new desired equilibrium. The problem is solved by the construction of a closed-loop control which asymptotically steers the trophic chain into this new equilibrium. In this way, actually, a controlled regime shift is realized.

Keywords: Trophic chains; Controllability; Optimal control; Equilibrium control (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecomod:v:221:y:2010:i:16:p:1839-1846

DOI: 10.1016/j.ecolmodel.2010.04.011

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