一类具有阶段结构、种群内部捕食和脉冲干扰的三种群模型研究

数学季刊 ›› 2010, Vol. 25 ›› Issue (1): 37-44.

一类具有阶段结构、种群内部捕食和脉冲干扰的三种群模型研究

1. College of Mathematics and Information Science, Xinyang Normal University2. School of Applied Sciences, Taiyuan University of Science and Technology

收稿日期:2007-12-04 出版日期:2010-03-30 发布日期:2023-06-07
作者简介: SHI Xiang-yun(1979- ), female, native of Xinzheng, Henan, a lecturer of Xinyang Normal University, M.S.D., engages in biomathematics and ordinary differential equation.
基金资助:
Supported by the National Natural Science Foundation of China(10771179)；

A Stage-structured Three-species Model with Intra-guild Predation and Disturbing Pulse

1. College of Mathematics and Information Science, Xinyang Normal University2. School of Applied Sciences, Taiyuan University of Science and Technology

Received:2007-12-04 Online:2010-03-30 Published:2023-06-07
About author: SHI Xiang-yun(1979- ), female, native of Xinzheng, Henan, a lecturer of Xinyang Normal University, M.S.D., engages in biomathematics and ordinary differential equation.
Supported by:
Supported by the National Natural Science Foundation of China(10771179)；

摘要/Abstract

摘要： This paper considers a stage-structured three species model with intra-guild predation and disturbing pulse. Sufficient conditions which guarantee the global attractivity of boundary periodic solution and permanence of the system are obtained. Our results show that the pulse and time delay bring great effect on the dynamical behaviors of the model.

关键词: stage-structured, intra-guild predation, impulsive, global attractivity, permanence

Abstract: This paper considers a stage-structured three species model with intra-guild predation and disturbing pulse. Sufficient conditions which guarantee the global attractivity of boundary periodic solution and permanence of the system are obtained. Our results show that the pulse and time delay bring great effect on the dynamical behaviors of the model.

Key words: stage-structured, intra-guild predation, impulsive, global attractivity, permanence

中图分类号:

O175

师向云, 崔学英. 一类具有阶段结构、种群内部捕食和脉冲干扰的三种群模型研究[J]. 数学季刊, 2010, 25(1): 37-44.

SHI Xiang-yun, CUI Xue-ying. A Stage-structured Three-species Model with Intra-guild Predation and Disturbing Pulse[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(1): 37-44.

[1]	高建忠, 张太雷. 一类具有脉冲接种、双时滞的SEIRS传染病模型研究分析[J]. 数学季刊, 2019, 34(1): 75-87.
[2]	王霞, 张营, 宋新宇. 一类具有脉冲注射葡萄糖——胰岛素的糖尿病模型[J]. 数学季刊, 2017, 32(2): 118-133.
[3]	康瑞妮, 张太雷, 刘俊利. 一类具有接种和时滞的非自治捕食-食饵的SIR传染病模型[J]. 数学季刊, 2015, 30(3): 450-461.
[4]	陈晓英, 施春玲. 一类具有反馈控制与多变时滞Nicholson’s Blowflies模型的持久性[J]. 数学季刊, 2015, 30(1): 153-158.
[5]	王丽丽, 徐瑞. 一类具有阶段结构的捕食-被捕食模型的全局稳定性[J]. 数学季刊, 2015, 30(1): 107-120.
[6]	杜艳可, 吴向东, 徐瑞. 一类具有时滞、脉冲效应和阶段结构的捕食者-食饵模型[J]. 数学季刊, 2014, 29(1): 45-54.
[7]	邵远夫, 唐国强. 一类脉冲时滞宿主一大寄生物系统周期解及全局吸引性[J]. 数学季刊, 2012, 27(2): 301-307.
[8]	赖尾英. 具有反馈控制和时滞的非自治的Nicholson’s Blowfies模型的持久性[J]. 数学季刊, 2011, 26(4): 568-572.
[9]	王儒智. 抽象空间中非线性脉冲Volterra积分方程的L^p_loc解的存在性 [J]. 数学季刊, 2011, 26(1): 61-68.
[10]	张秀全, 赵中. 一类带有时滞和脉冲接种具有不同传染性SIR传染病模型动力学性质的研究[J]. 数学季刊, 2010, 25(2): 228-235.
[11]	陈星荣, 潘立军. 带阻尼的二阶半线性脉冲微分方程的振动准则[J]. 数学季刊, 2009, 24(4): 614-620.
[12]	刘艳伟, 陆楷章. 具有变系数的脉冲时滞两被捕食者捕食系统的持久性和周期解[J]. 数学季刊, 2009, 24(2): 267-273.
[13]	郭红建, 赵中, 宋新宇等. 一类带有HollingⅡ类功能性反应和相互干扰及脉冲效应的捕食系统[J]. 数学季刊, 2008, 23(4): 480-490.
[14]	张建平, 蔡果兰. 一类脉冲微分方程边值问题的特征值[J]. 数学季刊, 2006, 21(3): 375-380.
[15]	朱先阳, 李永昆, 卢玲红. 中立型脉冲双曲型方程的振动准则[J]. 数学季刊, 2006, 21(2): 176-184.