摘要
研究了一类两物种间的捕食—食饵模型,其功能反映函数为比率依赖型.首先运用抛物型方程的比较原理得到系统的一个全局吸引子,然后通过椭圆型方程的极值原理和特征值方法对平衡态解的性质加以分析.最后证明了共存解的存在性和稳定性.
In this paper, the dynamics of predator-prey interaction systems between two species with ratio-dependent functional responses was discussed. First a global attractor was derived by the comparison principle of parabolic equations,and the qualitative properties of steady states were investigated mainly through the maximum principle of elliptic equations and the method of the eigenvalue. In addition,the existence and stability were proved.
出处
《南阳师范学院学报》
CAS
2007年第12期3-6,共4页
Journal of Nanyang Normal University
基金
国家自然科学基金资助项目(10571115)
关键词
比率依赖
全局吸引子
极值原理
分歧
ratio-dependent
global attractor
maximum principle
bifurcation
