Persistence and global attractivity in the model A_n+1=A_nF(A_n-m)

2010/03/26 by Dăng Vũ Giang, Dang Vu Giang, Giang, Dang Vu
Mathematics · Medicine · Physics and Astronomy · #FOS: Mathematics #General Mathematics (math.GM) #Mathematical and Theoretical Epidemiology and Ecology Models #Quantum chaos and dynamical systems #Theoretical and Computational Physics #math.GM

paper · pdf · doi:10.48550/arxiv.1003.5026

arxiv created 2010/03/26 · openalex publication_date 2010/03/26 · arxiv updated 2012/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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,∞)→(0,∞) is continuous and strictly decreasing. Second, we investigation the effect of delay m when F is not monotone. We are mainly using ω-limit set of persistent solution, which is discussed in more general by P. Walters, 1982.

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