Abstract: In this paper, we study the following nonlinear biological model dx(t)/dt = x(t)[a(t)-b(t)x^α(t)] + f(t, x_t), by using fixed pointed theorem, the sufficient conditions of the existence of unique positive almost periodic solution for the above system are obtained, by using the theories of stability, the sufficient conditions which guarantee the stability of the positive almost periodic solution are derived.

Key words: nonlinear biological model, positive almost periodic solution, fixed pointed theorem, existence and uniqueness