Title: Controlling spatial interacting populations

Authors: Hector Puebla, Eliseo Hernandez-Martinez, Basilio Del-Muro-Cuellar

Addresses: Universidad Autonoma Metropolitana-Azcapotzalco, Departamento de Energia, Av. San Pablo 180, Col. Reynosa-Tamaulipas CP 02200, Mexico DF. ' Universidad Autonoma Metropolitana-Iztapalapa, Posgrado en Ingenieria Quimica, Av. San Pablo 180, Col. Reynosa-Tamaulipas CP 02200, Mexico DF. ' Instituto Politecnico Nacional, Seccion de Estudios de Posgrado, ESIME-Culhuacan, Av. San Pablo 180, Col. Reynosa-Tamaulipas CP 02200, Mexico DF

Abstract: Prey-predator models can exhibit various forms of pattern formation. Spatio-temporal dynamics of prey-predator systems are relevant for several ecological applications. Spatial synchrony is one manifestation among a broader array of space-time patterns. In this work, we study the synchronisation of spatio-temporal dynamics via a control approach based on modelling error compensation ideas. Numerical simulations on two spatio-temporal models of prey-predator interactions, coupled and distributed parameter systems, are used to illustrate our findings.

Keywords: prey-predator interactions; spatial synchrony; reaction-diffusion equations; coupled oscillators; modelling error compensation; MEC; spatio-temporal dynamics; coupled parameter systems; distributed parameter systems; ecosystem dynamics; ecosystems; spatial interacting populations; feedback control.

DOI: 10.1504/IJCAT.2011.042239

International Journal of Computer Applications in Technology, 2011 Vol.41 No.1/2, pp.103 - 108

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 01 Sep 2011 *

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