摘要
主要研究了一类带非单调转化率的捕食-食饵模型,分别以生长率α和b为分歧参数,运用度理论和分歧理论讨论了这类模型在齐次第一边界条件下全局分歧结构.
This paper is concerned with a prey-predator model with diffusion and non-monotone conversion rate under the homogeneous Dirichlet boundary conditions. Taking growth rate a, b as its bifurcation parameters, the structure of the global bifurcation are investigated by the degree theory and bifurcation theory.
出处
《纯粹数学与应用数学》
CSCD
2010年第1期3-11,共9页
Pure and Applied Mathematics
基金
国家自然科学基金(10971124)
陕西省自然科学基础研究资助项目(2007A11)
关键词
捕食-食饵模型
全局分歧
不动点指标
prey-predator model, global bifurcation, the index of the fixed point
