具有集体间歇扩散的种群模型的动力学（英文）

朱铁磊; 姜冰钰; 章洁; 王鹏飞; 张龙

doi:10.13568/j.cnki.651094.2015.04.007

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具有集体间歇扩散的种群模型的动力学（英文）

数理科学 | 更新时间：2026-01-21

- 具有集体间歇扩散的种群模型的动力学（英文）
- 具有集体间歇扩散的种群模型的动力学（英文）
- 新疆大学学报（自然科学版中英文） 2015年32卷第4期页码：427-434
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  国家大学生创新性实验计划项目(201410755007);The National Natural Science Foundation of P.R.China(11361059,11271312);The Development Project of Innovative Talents of Technological Youth of Xinjiang(2014721014);the Scientific Research Programmes of Colleges in Xinjiang(XJEDU2013I03)
- DOI：10.13568/j.cnki.651094.2015.04.007
  中图分类号： O175
- 纸质出版：2015
- 稿件说明：
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[1]朱铁磊,姜冰钰,章洁,等.具有集体间歇扩散的种群模型的动力学（英文）[J].新疆大学学报(自然科学版),2015,32(04):427-434.
[1]朱铁磊,姜冰钰,章洁,等.具有集体间歇扩散的种群模型的动力学（英文）[J].新疆大学学报(自然科学版),2015,32(04):427-434. DOI： 10.13568/j.cnki.651094.2015.04.007.

DOI：10.13568/j.cnki.651094.2015.04.007.

摘要

建立了一类新的具有集体间歇扩散形式的种群动力学模型.模型所讨论的间歇扩散方式与以往研究过的模型相比

既不同于连续扩散

也不同于脉冲扩散

而是二者的综合.通过离散动力系统理论

分析方法

建立了系统持久性、灭绝性、周期解存在性

唯一性以及全局渐近稳定性的判别准则.通过数值模拟及讨论验证了理论结果的有效性.

Abstract

In this paper

we propose a new aggregate dispersal population model. The migration behavior modelled in this paper is in the form of intermittence

which is di?erent from both continuous dispersal or impulsive dispersal

instead

it is synthesis of these types. Some criteria for the permanence

extinction of system

existence

uniqueness and global stability of positive periodic solution are established by utilizing analytic method based on discrete dynamical systems.Besides

results are further confirmed by numerical simulations.

关键词

Keywords

references

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