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author:

He, Xiaqing (He, Xiaqing.) [1] | Zhu, Zhenliang (Zhu, Zhenliang.) [2] | Chen, Jialin (Chen, Jialin.) [3] | Chen, Fengde (Chen, Fengde.) [4] (Scholars:陈凤德)

Indexed by:

SCIE

Abstract:

We propose and analyze a Lotka-Volterra commensal model with an additive Allee effect in this article. First, we study the existence and local stability of possible equilibria. Second, the conditions for the existence of saddle-node bifurcations and transcritical bifurcations are derived by using Sotomayor's theorem. Third, we give sufficient conditions for the global stability of the boundary equilibrium and positive equilibrium. Finally, we use numerical simulations to verify the above theoretical results. This study shows that for the weak Allee effect case, the additive Allee effect has a negative effect on the final density of both species, with increasing Allee effect, the densities of both species are decreasing. For the strong Allee effect case, the additive Allee effect is one of the most important factors that leads to the extinction of the second species. The additive Allee effect leads to the complex dynamic behaviors of the system.

Keyword:

additive Allee effect bifurcation Lotka-Volterra commensal model

Community:

  • [ 1 ] [He, Xiaqing]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Fujian, Peoples R China
  • [ 2 ] [Chen, Jialin]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Fujian, Peoples R China
  • [ 3 ] [Chen, Fengde]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Fujian, Peoples R China
  • [ 4 ] [Zhu, Zhenliang]Minjiang Univ, Coll Math & Data Sci, Fuzhou, Peoples R China

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Source :

OPEN MATHEMATICS

ISSN: 2391-5455

Year: 2022

Issue: 1

Volume: 20

Page: 646-665

1 . 7

JCR@2022

1 . 0 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:24

JCR Journal Grade:1

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 6

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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