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首页|期刊导航|北华大学学报:自然科学版|食饵具有阶段结构和自食的捕食系统的正周期解的存在性

食饵具有阶段结构和自食的捕食系统的正周期解的存在性

于丽颖

北华大学学报:自然科学版2012,Vol.13Issue(1):13-18,6.
北华大学学报:自然科学版2012,Vol.13Issue(1):13-18,6.

食饵具有阶段结构和自食的捕食系统的正周期解的存在性

Existence of Positive Periodic Solution of a Predator-Prey System with Stage-Structured and Cannibalism for Prey

于丽颖1

作者信息

  • 1. 北方工业学校数学教研室,辽宁盘锦124021
  • 折叠

摘要

Abstract

By means of the continuation theorem based on coincidence degree theory and homotopy mapping, the existence of positive periodic solution of a predator-prey system with stage-structured and cannibalism for prey is obtained. The phenomenon is revealed that when the cannibalism rate of adult prey species and the arrest rate of adult prey species are enough small, the system will bring periodic oscillation of biological nature.

关键词

捕食系统/比率型功能性反应/阶段结构/时滞/周期解

Key words

predator-prey system/ratio-dependent functional response/stage-structured/time delay/periodicsolution

分类

数学

引用本文复制引用

于丽颖..食饵具有阶段结构和自食的捕食系统的正周期解的存在性[J].北华大学学报:自然科学版,2012,13(1):13-18,6.

北华大学学报:自然科学版

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1009-4822

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