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Proceedings of the International Academy of Ecology and Environmental Sciences, 2015, 5(1): 49-56
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Article

Imposing early stability to ecological and biological networks through Evolutionary Network Control

Alessandro Ferrarini
Department of Evolutionary and Functional Biology, University of Parma, Via G. Saragat 4, I-43100 Parma, Italy

Received 27 October 2014;Accepted 3 December 2014;Published online 1 March 2015
IAEES

Abstract
The stability analysis of the dynamical networks is a well-studied topic, both in ecology and in biology. In this work, I adopt a different perspective: instead of analysing the stability of an arbitrary ecological network, I seek here to impose such stability as soon as possible (or, contrariwise, as late as possible) during network dynamics. Evolutionary Network Control (ENC) is a theoretical and methodological framework aimed to the control of ecological and biological networks by coupling network dynamics and evolutionary modelling. ENC covers several topics of network control, for instance a) the global control from inside and b) from outside, c) the local (step-by-step) control, and the computation of: d) control success, e) feasibility, and f) degree of uncertainty. In this work, I demonstrate that ENC can also be employed to impose early (but, also, late) stability to arbitrary ecological and biological networks, and provide an applicative example based on the nonlinear, widely-used, Lotka-Volterra model.

Keywords Evolutionary Network Control;genetic algorithms;Lotka-Volterra system;network stability;predator-prey model.

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