Allee effect increasing the final density of the species subject to the Allee effect in a Lotka–Volterra commensal symbiosis model

A Lotka–Volterra commensal symbiosis model with first species subject to the Allee effect is proposed and studied in this paper. Local and global stability property of the equilibria are investigated. An amazing finding is that with increasing Allee effect, the final density of the species subject t...

Full description

Saved in:
Bibliographic Details
Published inAdvances in difference equations Vol. 2018; no. 1; pp. 1 - 9
Main Author Lin, Qifa
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 22.05.2018
Springer Nature B.V
SpringerOpen
Subjects
Allee effect
Analysis
Computer simulation
Difference and Functional Equations
Fish
Functional Analysis
Global stability
Lotka–Volterra commensal symbiosis model
Marine conservation
Mathematical models
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Symbiosis
34C25
92D25
Global stability
Allee effect
34D20
34D40
Lotka–Volterra commensal symbiosis model
Online AccessGet full text

Cover

More Information
Summary:A Lotka–Volterra commensal symbiosis model with first species subject to the Allee effect is proposed and studied in this paper. Local and global stability property of the equilibria are investigated. An amazing finding is that with increasing Allee effect, the final density of the species subject to the Allee effect is also increased. Such a phenomenon is different from the known results, and it is the first time to be observed. Numeric simulations are carried out to show the feasibility of the main results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-018-1646-3