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两种群分别有常投放率和常收获率的Holling-Ⅳ类捕食系统

张敬 高文杰 周莉

吉林大学学报(理学版)2011,Vol.49Issue(1):11-15,5.
吉林大学学报(理学版)2011,Vol.49Issue(1):11-15,5.

两种群分别有常投放率和常收获率的Holling-Ⅳ类捕食系统

Prey-Predator Model with Constant Investment Rate for Prey and Constant Harvesting Rate for Predator under Holling-Ⅳ Functional Response

张敬 1高文杰 2周莉1

作者信息

  • 1. 齐齐哈尔大学,理学院,黑龙江,齐齐哈尔,161006
  • 2. 吉林大学,数学研究所,长春,130012
  • 折叠

摘要

Abstract

A prey-predator model with constant investment rate and dense restriction for prey and constant harvesting rate for predator under Holling-Ⅳ functional response was studied.The existence of the positive equilibrium point was discussed by using isoclines shape, and the condition for the existence and the stability of the equilibrium point were analysed.Finally, the nonexistence of the closed orbit was proven by Dulac function.

关键词

常收获率/常投放率/等倾线/平衡点/闭轨

Key words

constant harvesting rate/ constant investment rate/ isoclines/ equilibrium point/ closed-orbit

分类

数理科学

引用本文复制引用

张敬,高文杰,周莉..两种群分别有常投放率和常收获率的Holling-Ⅳ类捕食系统[J].吉林大学学报(理学版),2011,49(1):11-15,5.

基金项目

国家自然科学基金(批准号:10771085)和黑龙江省教育厅科学技术研究资助项目(批准号:11531426). (批准号:10771085)

吉林大学学报(理学版)

OA北大核心CSCDCSTPCD

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