[Original Dream] questions about cats and mice (program algorithms)

Really, I dreamed of it last night.

A mouse ran to a friend's house, and my friend refused to kill it and said it was cute. The result quickly became a problem.
Then I woke up, hey! I don't know what preference this dream is. I haven't found Zhou gongjie on the Internet for a long time.
However, I woke up after my dream was completed. I thought of a program question, which I had come up:

There were 30 mice in one household, which were so rampant that they could not imagine. So they bought two cats and then came back with interesting changes.
Mouse growth rules:
4-8 mice in a nest (random number), then each two mice in a nest, each 7-15 born nest (random number ), 5-10 days after the birth of the mouse mature (random number), can give birth. The normal survival period of the mouse is-days (random number ).
The growth pattern of cats:
A cat has 1-6 kittens (random numbers). Of course, every two cats are responsible for a nest. Every 30-60 cats have a nest (random number ), the generated kitten is 40-60 days mature (taking a random number) and can have children. The normal survival period of a cat is 3-7 years (taking a random number ).
Rules for cats and mice:
When a cat is born, it eats 0-15 mice on average for 10 days (taking random numbers ). If a cat does not eat a mouse for 25-30 days (taking a random number), the cat will starve to death.

If there are other required parameters that haven't been specified, you can set them by yourself. Don't be too outrageous!

The above are the conditions for this program question. It has not been verified yet. Will the mouse be destroyed in the middle? It is not fun to destroy it too early, hey. If the mouse is destroyed halfway, how many days have it been destroyed? How many cats are there in the statistical data during extinction? Of course, the cats will eventually die. How many days will the cats die?

Write a program based on the preceding conditions to calculate the number of cats and mice in the family after 10 years (two runner-up may occur in these 10 years, there are too many cats and mice in total. Hey! It's interesting.

Ask the boss to give me a design idea first. It is very interesting to come up with this question ....