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以x^m/n为功能性反应函数的食饵-捕食系统的定性分析

On Qualitative Analysis of Prey-predator System with Functional Response Function x^m/n

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【Author】 TAN Xin-xin FENG En-min SHEN Bo-qian(Department of Applied Mathematics, Dalian University of Technology, Dalian Liaoning 116024 China)(Collage of Information Engineering, Dalian University, Dalian Liaoning 116622 China) (Department of Mathematics, Liaoning Normal University, Dalian Liaoning 116029 China)

【机构】大连理工大学应用数学系；辽宁师范大学数学系辽宁大连 116024 大连大学信息工程学院；辽宁大连 116622；辽宁大连 116024；辽宁大连 116029；

【摘要】研究了功能性反应函数φ(x)为的食饵-捕食系统证明了此系统当时至多存在唯一正平衡点;当时必有出现三个正平衡点的可能。并讨论了此系统的拓扑结构,给出了数值例子。更多还原

【Abstract】 Abstract: In this paper, a prey-predator system with functional response function xm/n dx/dt= ax - b(?)(x)y -cx2, dy/dt= -dy + e(?)(x)y - fy2 is studied. It is proved that the systemexists at most a positive equilibrium point when 1/2 ≤m/n < 1 and probably exists three onewhen0 < m/n <1/2. Topological structure of this system is also discussed and numerical examplesare given.更多还原