Stability and optimization in structured population models on graphs
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 model...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2014-11-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.311 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590152230240256 |
|---|---|
| author | Rinaldo M. Colombo Mauro Garavello |
| author_facet | Rinaldo M. Colombo Mauro Garavello |
| author_sort | Rinaldo M. Colombo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d1bbfda61159412cb0dffd0ed9f85543 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-d1bbfda61159412cb0dffd0ed9f855432025-01-24T02:31:45ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-11-0112231133510.3934/mbe.2015.12.311Stability and optimization in structured population models on graphsRinaldo M. Colombo0Mauro Garavello1INdAM Unit, University of Brescia, BresciaDepartment of Mathematics and Applications, University of Milano-Bicocca, Via R. Cozzi, 53, 20125 MilanoWe 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.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.311optimal mating ratio.management of biological resourcesjuvenile-adult modelrenewal equationbalance laws |
| spellingShingle | Rinaldo M. Colombo Mauro Garavello Stability and optimization in structured population models on graphs Mathematical Biosciences and Engineering optimal mating ratio. management of biological resources juvenile-adult model renewal equation balance laws |
| title | Stability and optimization in structured population models on graphs |
| title_full | Stability and optimization in structured population models on graphs |
| title_fullStr | Stability and optimization in structured population models on graphs |
| title_full_unstemmed | Stability and optimization in structured population models on graphs |
| title_short | Stability and optimization in structured population models on graphs |
| title_sort | stability and optimization in structured population models on graphs |
| topic | optimal mating ratio. management of biological resources juvenile-adult model renewal equation balance laws |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.311 |
| work_keys_str_mv | AT rinaldomcolombo stabilityandoptimizationinstructuredpopulationmodelsongraphs AT maurogaravello stabilityandoptimizationinstructuredpopulationmodelsongraphs |