A Spatiotemporal Prey-Predator Discrete Model and Optimal Controls for Environmental Sustainability in the Multifishing Areas of Morocco
Joint Authors
Rachik, Mostafa
El Alami laaroussi, Adil
El Bhih, Amine
Benfatah, Youssef
Ben Rhila, Soukaina
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-23
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In this work, we propose a multifishing area prey-predator discrete-time model which describes the interaction between the prey and middle and top predators in various areas, which are connected by their movements to their neighbors, to provide realistic description prey effects of two predators.
A grid of colored cells is presented to illustrate the entire domain; each cell may represent a subdomain or area.
Next, we propose two harvesting control strategies that focus on maximizing the biomass of prey, in the targeted area, and minimizing the biomass of middle and top predators coming from the neighborhood of this targeted area to ensure sustainability and maintain a differential chain system.
Theoretically, we have proved the existence of optimal controls, and we have given a characterization of controls in terms of states and adjoint functions based on a discrete version of Pontryagin’s maximum principle.
To illustrate the theoretical results obtained, we propose numerical simulations for several scenarios applying the forward-backward sweep method (FBSM) to solve our optimality system in an iterative process.
American Psychological Association (APA)
El Bhih, Amine& Benfatah, Youssef& Ben Rhila, Soukaina& Rachik, Mostafa& El Alami laaroussi, Adil. 2020. A Spatiotemporal Prey-Predator Discrete Model and Optimal Controls for Environmental Sustainability in the Multifishing Areas of Morocco. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1152909
Modern Language Association (MLA)
El Bhih, Amine…[et al.]. A Spatiotemporal Prey-Predator Discrete Model and Optimal Controls for Environmental Sustainability in the Multifishing Areas of Morocco. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1152909
American Medical Association (AMA)
El Bhih, Amine& Benfatah, Youssef& Ben Rhila, Soukaina& Rachik, Mostafa& El Alami laaroussi, Adil. A Spatiotemporal Prey-Predator Discrete Model and Optimal Controls for Environmental Sustainability in the Multifishing Areas of Morocco. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1152909
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152909