摘要
建立了一类带有时滞的草-鼠模型,利用特征方程、Hurwitz判据和Bendixson-Dulac定理等,研究了该模型平衡点的存在性及稳定性,并给出了一列Hopf分支值,其次利用中心流行定理和正规型方法,给出确定分支周期性及分支方向的结论。
A grass - rodent model with time delay was established. The existence and stability of the equi- libriums were investigated by using the characteristic equations, Hurwitz criterion, Bendixson - Dulac theorem etc. , and a list values of Hopf bifurcation was given. By using the center manifold theorem and normal form method, the conclusions which determined the periodicity and direction of bifurcation were obtained.
出处
《运城学院学报》
2012年第5期16-19,共4页
Journal of Yuncheng University
基金
国家自然科学基金项目(11071283)
山西省重点学科项目(20111030)