BIFURCATIONS AND PERIODIC ORBITS IN VARIABLE POPULATION INTERACTIONS

被引：0
|
作者：
Rebaza, Jorge [1 ]
机构：
[1] Missouri State Univ, Dept Math, Springfield, MO 65897 USA
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2013年 / 12卷 / 06期
关键词：
Variable Population models; conditional interactions; stability; bifurcations; TRANSITIONS; DYNAMICS; MODEL;
D O I：
10.3934/cpaa.2013.12.2997
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Variable population interactions with harvesting on one of the species are studied. Existence and stability of equilibria and existence of periodic solutions are established, existence of some bifurcation phenomena are analytically and numerically studied, explicit threshold values are computed to determine the kind of interaction (mutualism, competition, host-parasite) between the species, and several numerical examples are provided to illustrate the main results in this work. A brief discussion on the influence of the harvesting function on the dynamics of the model is also included. Hopf bifurcations and periodic solutions are found for the first time in this kind of models.
引用
收藏
页码：2997 / 3012
页数：16
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