Almost periodic solutions of a discrete mutualism model with variable delays
type: Item
instance of: scholarly article
title: Almost periodic solutions of a discrete mutualism model with variable delays
zbMATH Open document ID: 1257.92041
DOI: 10.1155/2012/742102
author: Yongzhi Liao
author: Tianwei Zhang
published in: Discrete Dynamics in Nature and Society
publication date: 2013-02-21T00:00:00Z
review text: Summary: We discuss a discrete mutualism model with variable delays of the forms \[ N_1(n + 1) = N_1(n) \exp \{r_1(n)[(K_1(n) + \alpha_1(n)N_2(n - \mu_2(n)))/(1 + N_2(n - \mu_2(n))) - N_1(n - v_1(n))]\}, \] \[ N_2(n + 1) = N_2(n) \exp \{r_2(n)[(K_2(n) + \alpha_2(n)N_1(n - \mu_1(n)))/(1 + N_1(n - \mu_1(n))) - N_2(n - v_2(n))]\}. \] By means of an almost periodic functional hull theory, sufficient conditions are established for the existence and uniqueness of globally attractive almost periodic solutions to the system. Our results complement and extend some scientific work in recent years. Finally, some examples and numerical simulations are given to illustrate the effectiveness of our main results.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34K14
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 65C20
zbMATH DE Number: 6137750
Wikidata QID: Q58700742
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/742102
OpenAlex ID: W1967806183
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description: scientific article; zbMATH DE number 6137750