洪芷漪教授(國立政治大學 應用數學系)

演講時間：112年12月19日下午2點30分
演講地點：A813

講題： A random spread model with frozen types

摘要：  When a type has been "frozen" (namely, a type of which an individual only produces one individual of the same type),
its spread pattern will be changed and this change will affect the long-term behavior of the whole system.
However, in a frozen system, the offspring mean matrix is no longer primitive so that the Perron-Frobenius theorem
can’t be applied directly when predicting the spread rates. In this talk, we will characterize the offspring mean matrix
of the frozen system and analyze the relationship among the growth rate, the spread rate and the eigenvectors
associated with the maximal eigenvalues of the offspring mean matrix and its component submatrices.