含交叉扩散的Ivlev型捕食-食饵系统的动态分歧  

Dynamic bifurcation of Ivlev predator-prey system with cross diffusion

作　　者：张强[1] ZHANG Qiang(College of Computer Science,Civil Aviation Flight University of China,Guanghan 618307,China)

机构地区：[1]中国民用航空飞行学院计算机学院,四川广汉618307

出　　处：《东北师大学报（自然科学版）》2020年第3期68-73,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11701399);中国民用航空飞行学院面上项目(J2020-063).

摘　　要：利用动态分歧和跃迁理论,分析了含有交叉扩散的Ivlev型功能反应捕食-食饵系统的动力学行为.在两种不同条件下分别得到了平凡解的局部渐近稳定性、跃迁类型、稳定型和跳跃型区域的存在性及其刻画,以及分歧解的表达式及其性质.通过计算机模拟验证了理论分析的正确性.最后给出了具有生物学意义的结论.The dynamic behaviors of Ivlev-type functional response predator-prey system with cross diffusion are analyzed by using dynamic bifurcation and transition theory.Under two different conditions,the local asymptotic stability of trivial solution,transition types,existence and characterizations of stable and jumping regions,expressions and properties of bifurcated solutions are obtained.The correctness of the theoretical analysis is verified by computer simulations.Finally,the conclusions with biological significance are given.

关 键 词：交叉扩散 稳定性 动态分歧 跃迁 

分 类 号：O175.2[理学—数学]