When less is more: Partial control to avoid extinction of predators in an ecological model

•We consider a situation for which a chaotic transient is present in the dynamics of an extended version of the McCann–Yodzis model with a cooperative hunting term implying the predators extinction.•The partial control method is applied to an extended version of the McCann–Yodzis model with a cooper...

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Veröffentlicht in:Ecological complexity 2014-09, Vol.19, p.1-8
Hauptverfasser: Capeáns, Rubén, Sabuco, Juan, Sanjuán, Miguel A.F.
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Sprache:eng
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Zusammenfassung:•We consider a situation for which a chaotic transient is present in the dynamics of an extended version of the McCann–Yodzis model with a cooperative hunting term implying the predators extinction.•The partial control method is applied to an extended version of the McCann–Yodzis model with a cooperative hunting term.•We succeed avoiding the extinction with a control applied smaller than the external disturbances of the system.•We have also shown that the partial control method implies smaller controls. Extinction of a species is one of the most dramatic processes in ecology. Here we use an extended version of the McCann–Yodzis three-species food chain model proposed by Duarte et al. (2009), where a cooperative hunting term was added to the original McCann–Yodzis model and where the three species coexist: resources, consumers and predators. We consider a situation for which a chaotic transient is present in the dynamics implying the predators extinction. Taking into account that the system is affected by external disturbances, we implement a new control method, the partial control method, with the goal of avoiding the extinction with a control applied smaller than the external disturbances of the system. We have also shown that the partial control method implies smaller controls.
ISSN:1476-945X
DOI:10.1016/j.ecocom.2014.02.002