Local dynamics and bifurcation for a two-dimensional cubic Lotka-Volterra system (I)

Universitatea din Craiova. Analele. Seria: Matematica, Informatica

article

Raluca Efrem¹  Mihaela Sterpu¹ 

[1] University of Craiova

关键词: Lotka-Volterra;    cubic polynomial system;    local bifurcation;   

DOI  :  10.52846/ami.v50i1.1779

学科分类：社会科学、人文和艺术（综合）

来源: Universitatea din Craiova / University of Craiova

【 摘 要 】

A two-dimensional cubic Lotka-Volterra system depending on two parameters is considered. Local dynamics in a neighbourhood of the origin of the phase plane, when the parameters lay in a sufficiently small neighbourhood of the origin, is investigated. The study is performed when some additional hypotheses on the coefficients are satisffied. From one up to four different equilibria and several types of codimension one local bifurcations are found. For each of the identified cases, bifurcation diagrams are given.

【 授权许可】

Unknown