周期环境中具有尺度结构的非线性害鼠模型的适定性

Well- posedness of a nonlinear vermin model with size- structured in periodic environments

该文考虑周期环境中具有尺度结构和加权规模的非线性种群动力系统,应用Volterra积分方程,算子谱理论,Banach不动点理论以及冻结系数法证明该非线性系统解的存在唯一性.

This paper is concerned with a size- structured population dynamical system with nonlinear birth rate and death rate in periodic environments. By the use of Volterra integral equations,spectral radius of linear operator,fixed point reasoning and frozen coefficients,we have proven the existence and uniqueness of solutions to the model.