非自治的具有阶段结构的时滞捕食被捕食模型的周期解(英文)

李盈科; 滕志东; 曼合布拜·热合木

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非自治的具有阶段结构的时滞捕食被捕食模型的周期解(英文)

更新时间：2026-01-21

- 非自治的具有阶段结构的时滞捕食被捕食模型的周期解(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 28, Issue 1, Pages: 57-64(2011)
- 作者机构：
  
  1. 新疆大学数学与系统科学学院
  2. 新疆农业大学数理学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O175
- Published：2011
- 稿件说明：
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[1]李盈科,滕志东,曼合布拜·热合木.非自治的具有阶段结构的时滞捕食被捕食模型的周期解(英文)[J].新疆大学学报(自然科学版),2011,28(01):57-64.

李盈科, 滕志东, 曼合布拜·热合木. 非自治的具有阶段结构的时滞捕食被捕食模型的周期解(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2011, 28(1): 57-64.
[1]李盈科,滕志东,曼合布拜·热合木.非自治的具有阶段结构的时滞捕食被捕食模型的周期解(英文)[J].新疆大学学报(自然科学版),2011,28(01):57-64. DOI：

李盈科, 滕志东, 曼合布拜·热合木. 非自治的具有阶段结构的时滞捕食被捕食模型的周期解(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2011, 28(1): 57-64. DOI：

摘要

研究了非自治的具有阶段结构的时滞捕食被捕食模型的周期解的存在问题.模型中阶段结构是针对被捕食者种群

而时滞是由于捕食者捕食食饵而转化成自身的一部分的过程引起的.利用Gaines及Mawhin的叠合度理论

文章得到了该模型周期解存在的充分条件.最后给出了一个实例以验证文章结果的可行性.

Abstract

A nonautonomous predator-prey model with stage-structure on prey and gestation delay is studied.It is assumed that immature and mature individuals of the prey species are divided by a fixed age

and that predator only attack the immature individuals.By using Mawhin’s continuation theorem of coincidence degree theory

a sufficient condition on the existence of positive periodic solutions for the model is obtained.An example is presented to illustrate the feasibility of our main results.

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references

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