Indexed by:
Abstract:
This research involves a discrete amensalism system with the Beddington-DeAngelis functional response and Allee effect for the unaffected species. We begin by investigating the presence and local stability of fixed points. Then, utilizing the central manifold theorem and bifurcation theory, we analyze a variety of codimension one and codimension two bifurcations, which include transcritical, pitchfork, fold, flip, fold-flip and 1 : 2 strong resonance bifurcations. These theoretical findings suggest that Allee effect serves a crucial role in stabilizing the population sizes of both species. In addition, Allee effect would make the system spend more time to achieve its stable steady-state solution. They are illustrated via numerical simulations.
Keyword:
Reprint 's Address:
Email:
Version:
Source :
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
ISSN: 1575-5460
Year: 2023
Issue: 1
Volume: 22
1 . 9
JCR@2023
1 . 9 0 0
JCR@2023
ESI Discipline: MATHEMATICS;
ESI HC Threshold:13
JCR Journal Grade:1
CAS Journal Grade:3
Cited Count:
WoS CC Cited Count: 8
SCOPUS Cited Count: 10
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
Affiliated Colleges: