Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 127
A predator-prey system of fishery model involving Stieltjes differential equations
Lamiae Maia, Noha El Khattabi, Marlène Frigon
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 17, 2022
March 03, 2118
April 15, 2118

Abstract: We consider a population of fish subject to predator species (sharks, dolphins, rays...). In this context, we assume also that this population is subject to fishing activity. In order to protect the reproductive cycle and the newborns, it is assumed that fishing is restricted in some seasons of the year. Several models were considered to describe the dynamics of these populations, such as the Lotka-Volterra problem, using a classical analysis of dynamical systems. However, given the fact that the number of fish individuals presents sudden jumps during the hatching periods, and also that the ...