两种群具有线性控制项的Holling-Ⅳ类食饵-捕食系统的鞍结分岔下的轨线结构  

The structure of orbit under the fold bifurcation on a class of type-Ⅳ predator-prey system with linear control term of two species

作　　者：石志高[1] 

机构地区：[1]福建江夏学院数理教研部,福建福州350108

出　　处：《闽江学院学报》2016年第2期12-18,共7页Journal of Minjiang University

摘　　要：研究一类两种群具有线性控制项的Holling-Ⅳ类食饵-捕食系统{dx/dt=x(a-bx-cx^2)-xy/β+x^2-(kx+h)dy/dt=y(-d+μx/β+x^2)-my,其中a,b,c,d,β,μ均为正常数,在a>k,d>-m,h>0及μ~2=4β(d+m)~2情形下的平衡点性态和平衡点的鞍结分岔的轨线结构分布,最后讨论其生态意义.A class of Holling type-Ⅳ predator-prey system with linear control term of two species was investigated {dx/dt=x（a-bx-cx^2）-xy/β＋x^2-（kx＋h）dy/dt=y（-d＋μx/β＋x^2）-my,Where a,b,c,d,β,μ are all positie constants,and studied the quality of the equilibria and the structure of orbit under the fold bifurcation of the equilibria under the parameter at a k,d - m,h 0 and the conditions of μ^2= 4β（ d ＋ m）^2. Finally,we discussed the meaning of the ecology.

关 键 词：线性控制项 Holling-Ⅳ 鞍结分岔 轨线结构 

分 类 号：O175.12[理学—数学]