非线性种群模型正平衡点的全局分支
Global Bifurcation of Positive Equilibria in Nonlinear Population Models
摘要：
研究了具有非线性扩散的年龄结构人口模型非平凡非负平衡解的存在性。通过引入一个度量生育强度的参数，证明了从平凡平衡点出发的正平衡点解的一个分支的全局分支。对于参数无关的模型，我们利用锥壳的不动点定理证明了正平衡点的存在性。
英文摘要：
Existence of nontrivial nonnegative equilibrium solutions for age structured population models with nonlinear diffusion is investigated. Introducing a parameter measuring the intensity of the fertility, global bifurcation is shown of a branch of positive equilibrium solutions emanating from the trivial equilibrium. Moreover, for the parameter-independent model we establish existence of positive equilibria by means of a fixed point theorem for conical shells.
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