Population Dynamics with Infinite Leslie Matrices
نویسندگان
چکیده
Abstract Infinite Leslie matrices are studied. The purely linear algebraic concept of weighed kneading determinant is introduced to solve linear difference equations associated with Leslie matrices. The method applies both to finite and infinite matrices. In the finite case this technique simplifies the computations. The asymptotic properties of the solutions are established using the positive root of the kneading determinant which is related to the solution of Euler-Lotka equation.
منابع مشابه
Asymptotic properties of infinite Leslie matrices.
The stable population theory is classically applicable to populations in which there is a maximum age after which individuals die. Demetrius [1972. On an infinite population matrix. Math. Biosci. 13, 133-137] extended this theory to infinite Leslie matrices, in which the longevity of individuals is potentially infinite. However, Demetrius had to assume that the survival probability per time ste...
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