@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} }