Existence results for some generalized Sigmoid Beverton-Holt models in time scales-Reference-Cited by-同舟云学术

Existence results for some generalized Sigmoid Beverton-Holt models in time scales

Published:2023-01-01 Issue:1 Volume:10 Page:
ISSN:2353-0626
Container-title:Nonautonomous Dynamical Systems
language:en
Short-container-title:

Author:

Abdelahi Mariem Mohamed¹,Sambe Mohamed Ahmed²,Moulay Ely Elkhomeini²

Affiliation:

1. Geometry, Algebra, Analysis and Applications Research Unit, Faculty of Sciences and Technology, University of Nouakchott , Nouakchott , Mauritania

2. Modeling and Scientific Computing Unit, Professional University Institute, University of Nouakchott , Nouakchott , Mauritania

Abstract

Abstract In this article, we investigate some generalized Sigmoid Beverton-Holt models in time scales, and we obtain the existence and uniqueness of a globally attractive almost periodic solution to the associated dynamic equations with or without survival rates under some suitable assumptions. An example is given to illustrate our abstract results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/msds-2022-0166/pdf

Reference26 articles.

1. M. Adivar, A new periodicity concept for time scales, Math. Slovaca 63 (2013), no. 4, 817–828.

2. Z. AlSharawi and M. Ben Haj Rhouma, The discrete Beverton-Holt model with periodic harvesting in a periodically fluctuating environment, Adv. Difference Equ. 2010 (2010), 215875.

3. M. Bohner, Some oscillation criteria for first order delay dynamic equations, Far East J. Appl. Math. 18 (2005), no. 3, 289–304.

4. M. Bohner, J. Mesquita, and S. Streipert, The Beverton-Holt model on isolated time scales, Math. Biosci. Eng. 19 (2022), no. 11, 11693–11716.

5. M. Bohner and S. Streipert, Optimal harvesting policy for the Beverton-Holt model, Math. Biosci. Eng. 13 (2016), no. 4, 673–695.