Persistence and global attractivity in the model $A_{n+1}=A_nF(A_{n-m})$

Details Persistence and global attractivity in the model $A_{n+1}=A_nF(A_{n-m})$ Persistence and global attractivity in the model $A_{n+1}=A_nF(A_{n-m})$

2010-03-26

arxiv.org/abs/1003.5026v1

Mathematics

Dynamical Systems

Scientific paper

First, we systemize ealier results the uniform persistence for discrete model
$A_{n+1}=A_nF(A_{n-m})$ of population growth, where $F:(0,\infty)\to(0,\infty)$
is continuous and strictly decreasing. Second, we investigation the effect of
delay $m$ when $F$ is not monotone. We are mainly using $\omega$-limit set of
persistent solution, which is discussed in more general by P. Walters, 1982.

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