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

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.