Linear Discrete Dynamical Systems (a) p() is strictly decreasing; (b) p() has a vertical asymptote at

Linear Discrete Dynamical Systems

(a) p(λ) is strictly decreasing;

(b) p(λ) has a vertical asymptote at λ = 0;

(c) p(λ) → 0 as λ→∞.

Prove that a general Leslie matrix has a unique positive eigenvalue.