arrow
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

Export citation
  • 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.

  • Keywords

Lotka-Volterra ecological system, stability, bifurcating solution.

  • AMS Subject Headings

92D25, 93C20, 35K57

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{CMR-28-127, author = {Yunfeng and Jia and and 18476 and and Yunfeng Jia and Jianhua and Wu and and 18478 and and Jianhua Wu and Hongkun and Xu and and 18479 and and Hongkun Xu}, 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:
Copy to clipboard
The citation has been copied to your clipboard