Analysis of Bifurcation and Stability on Solutions of a Lotka-Volterra Ecological System with Cubic Functional Responses and Diffusion
Year: 2012
Author: Yunfeng Jia, Jianhua Wu, Hongkun Xu
Communications in Mathematical Research , Vol. 28 (2012), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-CMR-19053
Communications in Mathematical Research , Vol. 28 (2012), Iss. 2 : pp. 127–136
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Lotka-Volterra ecological system stability bifurcating solution.