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 483
Impact of cooperative behavior on the stability of a delayed predator-prey model with Holling functional response
Ibtissam Benamara
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 01, 2022
March 03, 2401
April 15, 2401

Abstract: In this paper, we propose and analyze a delayed predator-prey model with Holling functional response taking into account cooperation behavior in predators. We investigate the effect of hunting cooperation on both the number and the level of positive steady states. We observe that the level of the positive equilibrium decreases when increasing the hunting cooperation parameter. Then we study the impact of the delay as well as the cooperation in hunting on the dynamics of the system. We prove that the presence of delay in the attack rate induces stability switches around the coexisting ...