Math. Model. Nat. Phenom.
Volume 18, 2023
|Number of page(s)||19|
|Section||Population dynamics and epidemiology|
|Published online||27 February 2023|
The Effect of Connecting Sites in the Environment of a Harvested Population
U.D. Matemáticas, Universidad de Alcalá, 28871 Alcalá de Henares, Spain
2 CNRS/INSU, Université de Toulon, IRD, Mediterranean Institute of Oceanography (MIO) UM 110, Aix Marseille Université, Campus de Luminy, 13288 Marseille, France
3 UMMISCO, Sorbonne Université, Institut de Recherche pour le Développement, IRD, 93143 Bondy, France
* Corresponding author: email@example.com
Accepted: 18 January 2023
This work presents a model of a harvested population in a multisite environment. Locally it has the shape of the Gordon-Schaefer model. This model gives rise, placing us in the case of a fishery, to an equilibrium of the stock and the fishing effort and, therefore, of the yield that is obtained per unit of time. Considering that the management of the fishery can act on the fishing costs, the yield is optimized as a function of the cost. The objective of the work is to compare the maximum obtained yield in two extreme cases: unconnected sites and connected sites with rapid movements of both the stock and the fishing effort. The analysis of the model, first in an environment with two sites and later with any number of them, makes it possible to establish the conditions for one of the two cases to be more favorable from the point of view of the yield. In this way, it is proposed towards which of the two compared cases management should be directed.
Mathematics Subject Classification: 34A34 / 92D25
Key words: Multisite fishery / Gordon-Schaefer model / time scales / maximum sustainable yield
© The authors. Published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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