Stability and Period-Doubling Bifurcation in a Modified Commensal Symbiosis Model with Allee Effect

Seval IŞIK

doi:https://doi.org/10.18185/erzifbed.879963

Makale detayları

Stability and Period-Doubling Bifurcation in a Modified Commensal Symbiosis Model with Allee Effect

Yazarlar:

Seval IŞIK

Yayıncı:

Erzincan Binali Yildirim University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Erzincan University Journal of Science and Technology 2022 Vol.15 Issue 1, pp.310-324

Belge Tipi:

Makale

Yayın Tarihi:

3/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000414231

eISSN:

2149-4584

pISSN:

1307-9085

DOI:

https://doi.org/10.18185/erzifbed.879963

Özet:

 

In this article, the qualitative behaviour of discrete-time commensal symbiosis model which is obtained by implementing the forward Euler’s scheme is discussed in detail. Firstly, the local stability conditions of fixed points of the model are studied. It is proved that the considered model undergoes Period-Doubling bifurcation around coexistence fixed point with the help of bifurcation theory. In order to support the accuracy of obtained analytical finding, some parameter values have been determined and numerical simulations are carried out for these parameter values. Numerical simulations display new and rich nonlinear dynamical behaviours. More specifically, when the parameter  is choosen as a bifurcation parameter, it is seen that the considered discrete-time commensal symbiosis model shows very rich nonlinear dynamical.

Makale detayları

Stability and Period-Doubling Bifurcation in a Modified Commensal Symbiosis Model with Allee Effect

Yazarlar: Seval IŞIK

Yayıncı: Erzincan Binali Yildirim University

Ana Başlıklar: Uygulamalı fizik

Dergi: Erzincan University Journal of Science and Technology 2022 Vol.15 Issue 1, pp.310-324

Belge Tipi: Makale

Yayın Tarihi: 3/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000414231

eISSN: 2149-4584

pISSN: 1307-9085

DOI: https://doi.org/10.18185/erzifbed.879963

Sayı

Yazarlar:

Seval IŞIK

Yayıncı:

Erzincan Binali Yildirim University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Erzincan University Journal of Science and Technology 2022 Vol.15 Issue 1, pp.310-324

Belge Tipi:

Makale

Yayın Tarihi:

3/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000414231

eISSN:

2149-4584

pISSN:

1307-9085

DOI:

https://doi.org/10.18185/erzifbed.879963