Bifurcation Structures of the Homographic γ-Ricker Maps and Their Cusp Points Organization

J. Rocha, A. Taha
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Abstract

This paper aims to study the bifurcation structures of the homographic [Formula: see text]-Ricker maps in a four-dimensional parameter space. The generalized Lambert [Formula: see text] functions are used to establish upper bounds for the number of fixed points of these population growth models. The variation of the number of fixed points and the cusp points organization is stipulated. This study also observes a vital characteristic on the Allee effect phenomenon in a class of bimodal Allee’s maps. Some numerical studies are included to illustrate the Allee effect and big bang local bifurcations.
γ-Ricker映射的分岔结构及其尖点组织
本文的目的是研究四维参数空间中同列[公式:见文]-Ricker映射的分岔结构。用广义兰伯特[公式:见文]函数来建立这些人口增长模型的不动点数目的上界。规定了不动点数目的变化和尖点组织。本文还观察到一类双峰Allee图的Allee效应现象的一个重要特征。文中还包括一些数值研究来说明Allee效应和大爆炸局部分岔。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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