Brochier, T., Auger, P., Thiam, N., Sow, M., Diouf, S., Sloterdijk, H. and Brehmer, P. (2015) Implementation of Artificial Habitats: Inside or Outside the Marine Protected Areas? Insights from a Mathematical Approach. Ecological Modelling, 297, 98-106.
https://doi.org/10.1016/j.ecolmodel.2014.10.034

has been cited by the following article:

• TITLE: Modeling and Optimization of Interaction between Small Coastal Pelagic Fish, their Biological Predators and Fishermen

  AUTHORS: Ibrahima Diedhiou, Salimata Gueye Diagne, Fambaye Ngom Sow, Coumba Diallo Diop, Ndiaga Thiam, Gabriel Birame Ndiaye, Aissatou Fall Ndoye Gueye

  KEYWORDS: Small Coastal Pelagics, Ordinary Differential Equations, Modelling, Optimisation, Basic Reproduction Rate

  JOURNAL NAME: Open Journal of Optimization, Vol.10 No.1, March 25, 2021

  ABSTRACT: Small coastal pelagic fish are one of the fish families most affected by sea fishing. This man-made phenomenon leads to an imbalance in the marine and coastal ecosystem and is one of the main causes of migration north and offshore of the ranges. We used the ordinary differential equations to model the interactions existing between small pelagic resources and fishermen. Modelling follows the same of the Lotka-Volterra equations with a difference in the number of variables. This study confirmed the instability of the marine ecosystem. The objective is first of all to model a system of three interacting individuals composed of two distinct types of predators and two types of prey, and then optimise this interaction with the aim of conserving biodiversity in the ecosystem under study. Determining the Jacobian matrix made it possible to calculate the reproduction rate basic (R0). The study of the strong connectedness has made it possible to reduce the number of variables without losing the objective of the study. A computer program implemented on the language computer python facilitated the visualisation of the results.