# Answer to Question #14677 in Differential Equations for Paulo

Question #14677

Write the equation describing dynamics of enclosed population when its behaviour is not influenced by interactions between individuals of different age.

Expert's answer

Suppose we have a region

Q = {(x, t): 0<x<l, 0<t<T}.

Let U = U(x, t) is the population of individuals of age x at time t.

Then the equation is the following:

Ux + Ut + c(x, t)U = 0.

Q = {(x, t): 0<x<l, 0<t<T}.

Let U = U(x, t) is the population of individuals of age x at time t.

Then the equation is the following:

Ux + Ut + c(x, t)U = 0.

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