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 - <p style="text-align: justify;">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.</p>