一类具有Allee效应的两种群竞争模型
A Two Species Competition Model with Allee Effect
张彦麒 1李翠萍1
作者信息
- 1. 北京航空航天大学数学科学学院,信息与行为教育部重点实验室,北京 100083
- 折叠
摘要
Allee效应是一种生物种群密度依赖的现象,在种群密度较低的情况下,种群的增长率与种群密度呈正相关关系.考虑一种具有Allee效应的Lotka-Volterra两种群竞争模型,给出了其平衡点的存在和稳定性条件,并且讨论了解的有界性以及周期解的不存在性,最后通过数值模拟展示所得结果.
Abstract
Allee effect is a density-dependent phenomenon of biological population which refers to a positive correlation between the population density with its growth rate.We consider a Lotka-Volterra competition model of two-species with Allee effect and investigate the existence and stability of its equilibrium point.The boundedness of the solution and the nonexistence of the periodic solution are proved.In the last,numerical simulation are performed to illustrate the results.
关键词
竞争模型/Allee效应/平衡点/稳定性/周期解Key words
competition model/Allee effect/equilibrium point/stability/periodic solution引用本文复制引用
出版年
2024
NETL
NSTL
万方数据