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Volume 28, Issue 2
Analysis of Bifurcation and Stability on Solutions of a Lotka-Volterra Ecological System with Cubic Functional Responses and Diffusion

Yunfeng Jia, Jianhua Wu & Hongkun Xu

Commun. Math. Res., 28 (2012), pp. 127-136.

Published online: 2021-05

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  • Abstract

This paper deals with a Lotka-Volterra ecological competition system with cubic functional responses and diffusion. We consider the stability of semi-trivial solutions by using spectrum analysis. Taking the growth rate as a bifurcation parameter and using the bifurcation theory, we discuss the existence and stability of the bifurcating solutions which emanate from the semi-trivial solutions.

  • AMS Subject Headings

92D25, 93C20, 35K57

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COPYRIGHT: © Global Science Press

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@Article{CMR-28-127, author = {Jia , YunfengWu , Jianhua and Xu , Hongkun}, title = {Analysis of Bifurcation and Stability on Solutions of a Lotka-Volterra Ecological System with Cubic Functional Responses and Diffusion}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {28}, number = {2}, pages = {127--136}, abstract = {

This paper deals with a Lotka-Volterra ecological competition system with cubic functional responses and diffusion. We consider the stability of semi-trivial solutions by using spectrum analysis. Taking the growth rate as a bifurcation parameter and using the bifurcation theory, we discuss the existence and stability of the bifurcating solutions which emanate from the semi-trivial solutions.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19053.html} }
TY - JOUR T1 - Analysis of Bifurcation and Stability on Solutions of a Lotka-Volterra Ecological System with Cubic Functional Responses and Diffusion AU - Jia , Yunfeng AU - Wu , Jianhua AU - Xu , Hongkun JO - Communications in Mathematical Research VL - 2 SP - 127 EP - 136 PY - 2021 DA - 2021/05 SN - 28 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19053.html KW - Lotka-Volterra ecological system, stability, bifurcating solution. AB -

This paper deals with a Lotka-Volterra ecological competition system with cubic functional responses and diffusion. We consider the stability of semi-trivial solutions by using spectrum analysis. Taking the growth rate as a bifurcation parameter and using the bifurcation theory, we discuss the existence and stability of the bifurcating solutions which emanate from the semi-trivial solutions.

Yunfeng Jia, Jianhua Wu & Hongkun Xu. (2021). Analysis of Bifurcation and Stability on Solutions of a Lotka-Volterra Ecological System with Cubic Functional Responses and Diffusion. Communications in Mathematical Research . 28 (2). 127-136. doi:
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