Simon and Blumes (1994)的Leslie Population Model and Difference Equations问题

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以下是Simon and Blumes (1994)的Leslie Population Model and Difference Equations问题，请大家帮帮忙解答一下，谢谢。
1. The intuition behind the Leslie Population model.

"Consider the organism that lives for two years. Let b1 be the birth rate of indivdiuals in their first year and b2 the birth rate for individuals in their second year. Let d1 denote the death rate of first-year individuals, so that (1 - d1) of the first-year indivdiuals survive to year two. Let xn and yn denote the number of first-year individuals and second-year indiivduals, respectively, in year n. The dynamics over time of this populationm are described by the system of diffrence equations

xn+1 = b1xn + b2yn

yn+1 = (1 - d1) x n

可不可以帮我把以上的Model用文字（中文英文均可）解析一下呢？ 我不大懂the intuition behind the model.

2. Consider the coupled system of difference equations generated by a Leslie model with


(1)

The next step given i nthe textbook is:

The right change of coordinates for solving this system is

X = (1/6)x + (1/3)y
Y = (-1/6)x + (2/3)y (2)

可不可以解析一下Simon and Blumes是怎么从Step (1)到Step (2)呢？ 预先谢谢了。

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关键词：Population difference Equations equation ulation model difference Population Leslie Blumes

顶一下，这个是经济数学教科书的一个例子，请大家帮帮忙，我看到在这个论坛里不少人都读过，所以请大家帮帮忙。