I need to model a population where every component have a fixed life span.

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I have a certain population, which growth is function of a certain factor. I have already modeled the growth. Now I need to impose that every individual in the population have a fixed life length. Can you help me modeling this?


Example, because people say "this is unclear".

Growh_rate=f(t)

Death_rate=?? <---I have to model an equation for this.

Life span=X

Population(t) = integral(from 0 to t)(Growh_rate)-integral(from 0 to t)(Death_rate)


Please if you can't directly answer the question, can you link me a directory of different models among different themes (population, financial, virus spread, etc)?