Period-doubling Bifurcation and Stability in a Two Dimensional Discrete Prey-predator Model with Allee Effect and Immigration Parameter on Prey

Figen Kangalgil; Feda İlhan

doi:10.17776/csj.1026330

EN

Period-doubling Bifurcation and Stability in a Two Dimensional Discrete Prey-predator Model with Allee Effect and Immigration Parameter on Prey

Abstract

This article is about the dynamics of a discrete-time prey-predator system with Allee effect and immigration parameter on prey population. Particularly, we study existence and local asymptotic stability of the unique positive fixed point. Furthermore, the conditions for the existence of bifurcation in the system are derived. In addition, it is shown that the system goes through period-doubling bifurcation by using bifurcation theory and center manifold theorem. Eventually, numerical examples are given to illustrate theoretical results.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Figen Kangalgil
0000-0003-0116-8553
Türkiye

Feda İlhan ^*
0000-0003-2867-6304
Türkiye

Publication Date

March 30, 2022

Submission Date

November 20, 2021

Acceptance Date

February 22, 2022

Published in Issue

Year 2022 Volume: 43 Number: 1

DOI

https://doi.org/10.17776/csj.1026330

IZ

https://izlik.org/JA43DR98SM

Cite

RIS / Bibtex

APA

Kangalgil, F., & İlhan, F. (2022). Period-doubling Bifurcation and Stability in a Two Dimensional Discrete Prey-predator Model with Allee Effect and Immigration Parameter on Prey. Cumhuriyet Science Journal, 43(1), 88-97. https://doi.org/10.17776/csj.1026330