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
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)