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Mathematical Biosciences and Engineering

2015, Volume 12, Issue 2: 311-335. doi: 10.3934/mbe.2015.12.311
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Stability and optimization in structured population models on graphs

  • 1.
    INdAM Unit, University of Brescia, Brescia
  • 2.
    Department of Mathematics and Applications, University of Milano-Bicocca, Via R. Cozzi, 53, 20125 Milano
  • Received: 01 April 2014 Accepted: 29 June 2018 Published: 01 December 2014

  • MSC : Primary: 35L50; Secondary: 92D25.

  • We prove existence and uniqueness of solutions, continuous dependence from the initial datum and stability with respect to the boundary condition in a class of initial--boundary value problems for systems of balance laws. The particular choice of the boundary condition allows to comprehend models with very different structures. In particular, we consider a juvenile-adult model, the problem of the optimal mating ratio and a model for the optimal management of biological resources. The stability result obtained allows to tackle various optimal management/control problems, providing sufficient conditions for the existence of optimal choices/controls.

    Citation: Rinaldo M. Colombo, Mauro Garavello. Stability and optimization in structured population models on graphs[J]. Mathematical Biosciences and Engineering, 2015, 12(2): 311-335. doi: 10.3934/mbe.2015.12.311

    Related Papers:

  • We prove existence and uniqueness of solutions, continuous dependence from the initial datum and stability with respect to the boundary condition in a class of initial--boundary value problems for systems of balance laws. The particular choice of the boundary condition allows to comprehend models with very different structures. In particular, we consider a juvenile-adult model, the problem of the optimal mating ratio and a model for the optimal management of biological resources. The stability result obtained allows to tackle various optimal management/control problems, providing sufficient conditions for the existence of optimal choices/controls.


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  • © 2015 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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