基于有限时滞的Volterra捕食系统的分支解  

The Solutions of Hopf Bifurcation in a Class of Ecological Systems with Finite Delay

作　　者：刘三红[1] 

机构地区：[1]咸宁学院数学系,湖北咸宁437100

出　　处：《甘肃科学学报》2008年第4期1-4,共4页Journal of Gansu Sciences

基　　金：湖北省教育厅自然科学基金(Q200628002);咸宁学院重点科研基金(KL0526)

摘　　要：较深入地研究了具有有限时滞的极限增长Lotka-Volterra捕食系统分支解的性态.以时滞τ为参数,利用中心流形定理和规范形理论分析了在0τ处出现Hopf分支周期解的方向及稳定性,并提供了计算其方向和稳定性的计算公式.The properties of the solution in Predator-prey system with finite delay are studied in much detail.With time lag τ as a parameter,using the center manifold theorem and the normal form theory,we have obtained calculation formulas which reflect the stability with Hopf bifurcating periodic solution and bifurcating direction.Thus it provides a basis for numerical simulation calculation.

关 键 词：时滞 中心流形 HOPF分支 超(次)临界分支 

分 类 号：O175[理学—数学]