@Article{CMR-28-2, author = {Yunfeng, Jia and Wu, 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 = {2012}, 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/2012-CMR-19053}, url = {https://global-sci.com/article/81824/analysis-of-bifurcation-and-stability-on-solutions-of-a-lotka-volterra-ecological-system-with-cubic-functional-responses-and-diffusion} }