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

您当前的位置：

首页 >

文章列表页 >

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)

数理科学 | 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)
- 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)
- 新疆大学学报（自然科学版中英文） 2011年28卷第1期页码：57-64
- 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：
  
  supported by the National Natural Science Foundation of P.R.China(60764003);The Major Project of The Ministry of Education of P.R. China (207130);The Scientific Research Programmes of Colleges in Xinjiang (XJEDU2007G01, XJEDU2006I05)
- DOI：
  中图分类号： O175
- 纸质出版：2011
- 稿件说明：
移动端阅览
[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.

关键词

Keywords

references

Aiello W G,Freedman H I.A time delay of single-spacies growth with stage strcture[J].Math Biosci,1990,101:139-153.

MA Zhi-hui,Li Zhi-zhen,Wang Shu-fan,et al.Permanence of a predator-prey system with stage strcuture and time delay[J].Appl MathComput,2008,201:65-71.

Wei Feng Ying,Wang Ke.Permanence of variable coeffcients predator-prey system with stage strcuture[J].Appl Math Comput,2006,180:594-598.

Pei Yongzhen,Li Changguo,Chen Lansun.Continuous and impusive harvesting strategies in a stage-strcutured predator-prey model with timedelay[J].Mathematics and Computer in Simulation,2009.

Jiao Jiaojun,Meng Xinzhu,Chen Lansun.A stage-structured Holling mass defence predator-prey model with impulsive perturbations onpredators[J].Appl Math Comput,2007,189:1448-1458.

Song Xinyu,hao M,Meng X.A stage-strcutured predator-prey model with disturbing pulse and time delays[J].Appl Math Modelling,2009,33:211-4223.

Gaines R E,Mawhin J L.Conincidence Degree and Nonliear Differencial Equations[M].Springer-Verlag,Berlin,1997.

Li Y,Kuang Y.Periodic solutions of periodic Lotka-Volterra equationg and systems[J].J Math Anal Appl,2001,255:260-280.

Chen F,You M.Permanence extinction and periodic solution of the predator-prey system with Beddington-DeAngelis funtional response andstage strcuture for prey[J].Nonlinear Anal R W A,2008,9:207-221.

Yang S J,Shi B.Periodic solution for three-stage-structured a predator-prey system with time delay[J].J Math Anal Appl,2008,341:287-294.

Xiong X,Zhang Z.Existence and global attractiviy of a periodic solution for a redator-prey model with sex-structure[J].Comput Math Appl,2007,190:1231-1224.

xu R,Chaplain M A J,Davidson F A.Persistence and periodicity of a delayed ratio-dependent predator-prey model with stage strcuture andprey dispersal[J].Comput Math Appl,2004,159:823-846.

Bandyopadhyay M,Banerjee S.A stage-structured predator-prey model with discrete time delay[J].Comput Math Appl,2006,182:1385-1398.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

一类捕食者具有阶段结构的捕食被捕食系统的持久性

对具阶段结构和生育脉冲的种群模型脉冲喷洒杀虫剂的动力学性质(英文)

同质网络中具有时滞的谣言传播模型的动力学分析

多语言环境下具有惩罚机制和时滞的谣言传播动力学研究

Halanay不等式的推广及在时滞神经网络稳定性中的应用（英文）