一类离散植物种群模型的基本再生数研究

Basic Reproduction Number of a Discrete Plant Population Model

建立了三种状态共存的离散植物种群模型,利用投影矩阵的两种分解,并通过线性方程组求解下一代矩阵特征值的方法,分别得到模型的基本再生数。最后给出具体例子,并进行数值模拟.

A discrete plant population model with three coexistence states was established.The basic reproduc?tion numbers of the model were obtained by using two decompositions of projection matrix and solving eigenvalues of the next generation matrix by means of linear equations.Finally,a specific example was given and numerical simulation was carried out.