摘要
建立了一类害鼠具有不育控制和强Allee效应的竞争模型,分析了模型平衡点的存在性和稳定性。害鼠及其竞争者二者不能共存,也不会都灭绝,或者是害鼠存活其竞争者灭绝,或者是害鼠灭绝其竞争者趋于无穷。害鼠存活时,害鼠总量和不育害鼠数量都随着不育率的增加而减少。
The competition model is formulated,in which one population is rodent pest and with Infertility control and strong Allee effect.The existence and stability of equilibrium are analyzed in the model.Rodents and their competitors cannot coexist and will not both become extinct.Either the rodent survives while its competitor becomes extinct,or the rodent becomes extinct while its competitor tends towards infinity.If the rodent survives,both the total number of rodent and the number of infertile rodent would decrease with infertility rate increasing.
作者
赵敏敏
刘汉武
张凤琴
狄根虎
ZHAO Minmin;LIU Hanwu;ZHANG Fengqin;DI Genhu(School of Mathematics and Computer Science,Shanxi Normal University,Taiyuan 030031,China;School of Mathematics and Information Technology,Yuncheng University,Yuncheng 044000,China)
出处
《运城学院学报》
2024年第6期52-56,共5页
Journal of Yuncheng University
基金
国家自然科学基金项目(12071418)
运城学院学科建设项目(XK2023-004)。
关键词
动态模型
强Allee效应
不育控制
竞争
dynamic model
strong Allee effect
Infertility control
competition
