@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.
Jia , YunfengWu , Jianhua and Xu , Hongkun. (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
