Computing Average Age of Mothers in Age-Structured Population

[angy]

Hi, I have the following problem.

Consider an age-structured population growing according to a Leslie matrix. Suppose the population is in stable exponential growth, i.e. its age-structure is constant in time, while the total population is exponentially growing (or decreasing) with exponent r. Compute the average age of the mothers of all children born at time t.

Can anyone help me? Thank you!

 

[Stephen Tashi]

You're more likely to get a helpful answer if you reveal the definition of a "Leslie" matrix. Most mathematicians aren't also demographers and they aren't always in the mood to go Googling.