第一种群具有Michaelis-Menten型捕获的两种群离散竞争模型的持久性

doi:10.13438/j.cnki.jdzk.2025.04.003

吉首大学学报（自然科学版） ›› 2025, Vol. 46 ›› Issue (4): 11-18.DOI: 10.13438/j.cnki.jdzk.2025.04.003

第一种群具有Michaelis-Menten型捕获的两种群离散竞争模型的持久性

刘怡建，陈凤德，李倩倩

（1.福州理工学院计算与信息科学学院数学系，福建福州 350108；2.福州大学数学与统计学院数学系，福建福州 350108）

出版日期:2025-07-25 发布日期:2025-08-05
作者简介:刘怡建（1985—），女，湖南岳阳人，福州理工学院计算与信息科学学院数学系讲师，硕士，主要从事微分方程研究.
基金资助:
福州理工学院校级科研基金项目（FTKY2024003）

Permanence of a Two-Species Discrete Competition Model with Michaelis-Menten Type Capture in the First Species

LIU Yijian,CHEN Fengde,LI Qianqian

(1.Department of Mathematics,School of Computing and Information Science,Fuzhou Institute of Technology,Fuzhou 350108,China;2.Department of Mathematics,School of Mathematics and Statistics,Fuzhou University,Fuzhou 350108,China)

Online:2025-07-25 Published:2025-08-05

摘要/Abstract

摘要：建立了第一种群具有Michaelis-Menten型捕获的两种群离散竞争模型，并给出了该模型保证持久的一组充分性条件.

关键词： Michaelis-Menten型捕获, 竞争模型, 持久性

Abstract: In this paper,a two-species discrete competition model with Michaelis-Menten type harvesting in the first species was proposed and studied.A set of sufficient conditions to ensure the permanence of the model are obtained.

Key words: Michaelis-Menten type capture, competitive model, permanence

刘怡建, 陈凤德, 李倩倩. 第一种群具有Michaelis-Menten型捕获的两种群离散竞争模型的持久性[J]. 吉首大学学报（自然科学版）, 2025, 46(4): 11-18.

LIU Yijian, CHEN Fengde, LI Qianqian. Permanence of a Two-Species Discrete Competition Model with Michaelis-Menten Type Capture in the First Species[J]. Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 11-18.

参考文献

[1] YU Xiangqin,ZHU Zhenliang,CHEN Fengde.Dynamic Behaviors of a Single Species Stage Structure Model with Michaelis-Menten-Type Juvenile Population Harvesting[J].Mathematics,2020,8(8):1281.DOI:10.3390/math8081281.
[2] CHEN Fengde,CHEN Yuming,LI Zhong,et al.Note on the Persistence and Stability Property of a Commensalism Model with Michaelis-Menten Harvesting and Rolling Type Ⅱ Commensalistic Benefit[J].Applied Mathematics Letters,2022,134:108381.DOI:10.1016/j.aml.2022.108381.
[3] AKTER SAIMA,ISLAM MD SHARIFUL,HOSSAIN TOUHID.Dynamical Properties of Single Species Stage Structured Model with Michaelis-Menten Type Harvesting on Adult Population and Linear Harvesting on Juvenile Population[J].Heliyon,2023,9(5):e15709.DOI:10.1016/j.heliyon.2023.e15709.
[4] LAI Liyun,YU Xiangqin,HE Mengxin,et al.Impact of Michaelis-Menten Type Harvesting in a Lotka-Volterra Predator-Prey System Incorporating Fear Effect[J].Advances in Difference Equations,2020,2020(1):1-22.
[5] JAWAD SHIREEN.Study the Dynamics of Commensalism Interaction with Michaels-Menten Type Prey Harvesting[J].Al-Nahrain Journal for Engineering Science,2022,25(1):45-50.
[6] ZHU Zhengliang,CHEN Fengde,LAI Liyun,et al.Dynamic Behaviors of a Discrete May Type Cooperative System Incorporating Michaelis-Menten Type Harvesting[J].IAENG International Journal of Applied Mathematics,2020,50(3):458-467.
[7] ZHOU Qimei,LIN Sijia,CHEN Fengde,et al.Positive Periodic Solution of a Discrete Lotka-Volterra Commensal Symbiosis Model with Michaelis-Menten Type Harvesting[J].WSEAS Transactions on Mathematics,2022,21:515-523.
[8] YU Xiangqin,ZHU Zhenliang,LI Zhong.Stability and Bifurcation Analysis of Two-Species Competitive Model with Michaelis-Menten Type Harvesting in the First Species[J].Advances in Difference Equations,2020,2020(1):1-25.
[9] CHEN Fengde.Permanence and Global Attractivity of a Discrete Multispecies Lotka-Volterra Competition Predator-Prey Systems[J].Applied Mathematics and Computation,2006,182(1):3-12.
[10] CHEN Yuming,ZHOU Zhan.Stable Periodic Solution of a Discrete Periodic Lotka-Volterra Competition System[J].Journal of Mathematical Analysis and Applications,2003,277(1):358-366.

第一种群具有Michaelis-Menten型捕获的两种群离散竞争模型的持久性

Permanence of a Two-Species Discrete Competition Model with Michaelis-Menten Type Capture in the First Species

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

编辑推荐

Metrics

本文评价