离散捕食系统正周期解的存在性

李莉; 张广; 靳祯

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离散捕食系统正周期解的存在性

应用基础研究 | 更新时间：2026-09-14

- 离散捕食系统正周期解的存在性
- Existence of Positive Periodic Solutions for a Discrete Predator-Prey System
- 中北大学学报（自然科学版） 2010年31卷第2期页码：95-99
- 作者机构：
  
  中北大学理学院
- 作者简介：
- 基金信息：
  
  国家自然科学基金资助项目(60771026);新世纪优秀人才支持计划资助项目(NCET050271);山西省自然科学基金资助项目(2006011009)
- DOI：
  中图分类号：
- 纸质出版：2010
- 稿件说明：
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李莉, 张广, 靳祯. 离散捕食系统正周期解的存在性[J]. 中北大学学报（自然科学版）, 2010,31(2):95-99.

李莉, 张广, 靳祯. Existence of Positive Periodic Solutions for a Discrete Predator-Prey System[J]. 2010, 31(2): 95-99.
李莉, 张广, 靳祯. 离散捕食系统正周期解的存在性[J]. 中北大学学报（自然科学版）, 2010,31(2):95-99. DOI：

李莉, 张广, 靳祯. Existence of Positive Periodic Solutions for a Discrete Predator-Prey System[J]. 2010, 31(2): 95-99. DOI：

摘要

研究了一类具有Beddington-DeAndelis功能性反应和捕食者互相残杀项的非自治离散捕食系统

利用Mawhin重合度理论获得了这类系统正周期解存在的充分性判据.

Abstract

It was studied that for the non-autonomous discrete predator-prey system with the Beddington-DeAndelis functional response and predator cannibalism.By using continuation theorem which was proposed by Gaines and Mawhin

the existence sufficient conditions of at least one positive periodic solution of the system are obtained.

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references

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