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Silva, C. J. & Cantin, G. (2024). Optimal control synchronization of a complex network of predator-prey systems. In Bernard Bonnard, Monique Chyba, David Holcman and Emmanuel Trélat (Ed.), Ivan Kupka legacy: A tour through controlled dynamics. (pp. 283-304).: American Institute of Mathematical Sciences.
C. J. Silva and G. Cantin, "Optimal control synchronization of a complex network of predator-prey systems", in Ivan Kupka legacy: A tour through controlled dynamics, Bernard Bonnard, Monique Chyba, David Holcman and Emmanuel Trélat, Ed., American Institute of Mathematical Sciences, 2024, vol. 12, pp. 283-304
@incollection{silva2024_1782447662499,
author = "Silva, C. J. and Cantin, G.",
title = "Optimal control synchronization of a complex network of predator-prey systems",
chapter = "",
booktitle = "Ivan Kupka legacy: A tour through controlled dynamics",
year = "2024",
volume = "12",
series = "",
edition = "AIMS on applied mathematics",
pages = "283-283",
publisher = "American Institute of Mathematical Sciences",
address = "",
url = "https://www.aimsciences.org/book/AM/volume/58"
}
TY - CHAP TI - Optimal control synchronization of a complex network of predator-prey systems T2 - Ivan Kupka legacy: A tour through controlled dynamics VL - 12 AU - Silva, C. J. AU - Cantin, G. PY - 2024 SP - 283-304 UR - https://www.aimsciences.org/book/AM/volume/58 AB - In this work, we consider a complex network of predator-prey systems, modeling the ecological dynamics of interacting species living in a fragmented environment. We consider non-identical instances of a Lotka-Volterra model with Holling type II functional response. We study optimal control problems, for the minimization of the default of synchronization in the complex network, where the controls reproduce the implementation of ecological corridors. The main goal is to restore biodiversity of life species in a heterogeneous habitat by reaching at least a global coexistence equilibrium, or in a better scenario, a global limit cycle which would guarantee biological oscillations, which means rich life dynamics. ER -
English