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

Dang Vu Giang

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

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arxiv 1003.5026 v1 pith:QBDDJFAT submitted 2010-03-26 math.GM

Dang Vu Giang This is my paper · ORCID

classification math.GM

keywords inftymodelpersistenceattractivitycontinuousdecreasingdelaydiscrete

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abstract

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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