一类捕食-食饵模型的二重分歧解及其稳性  

Bifurcation solutions and stability of predator-prey model from double eigenvalue

作　　者：焦艳杰[1] 李艳玲[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062

出　　处：《计算机工程与应用》2015年第4期46-48,82,共4页Computer Engineering and Applications

基　　金：国家自然科学基金(No.11271236);高等学校博士学科点专项科研基金(No.200807180004)

摘　　要：研究一类具有非单调功能函数的捕食-食饵模型,以物种的生长率作为分歧参数,利用Lyapunov-Schmidt约化过程,研究二重特征值处的分歧,并判定分歧解的渐近稳定性。说明捕食与被捕食的两种生物在平凡解(00)附近可以产生稳定的共存状态。The predator-prey model with non-monotonic function is studied. The two growth rates are treated as corresponding bifurcation parameters, the bifurcation from a double eigenvalue is investigated by Liapunov-Schmidt procedure. The stability of these solutions is determined. Coexistence equilibrium can be reached between two species of prey and predator near trivial solution（0,0）.

关 键 词：捕食-食饵模型 分歧解 渐近稳定性 

分 类 号：O175.26[理学—数学]