On discrete time Beverton-Holt population model with fuzzy environment

Qianhong Zhang; Fubiao Lin; Xiaoying Zhong; Qianhong Zhang; Fubiao Lin; Xiaoying Zhong

doi:10.3934/mbe.2019071

Mathematical Biosciences and Engineering

2019, Volume 16, Issue 3: 1471-1488. doi: 10.3934/mbe.2019071

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Research article

On discrete time Beverton-Holt population model with fuzzy environment

1.
School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou 550025, China
2.
Library, Guizhou University of Finance and Economics, Guiyang, Guizhou 550025, China

Received: 05 November 2018 Accepted: 25 January 2019 Published: 21 February 2019

In this work, dynamical behaviors of discrete time Beverton-Holt population model with fuzzy parameters are studied. It provides a flexible model to fit population data. For three different fuzzy parameters and fuzzy initial conditions, according to a generalization of division (g-division) of fuzzy number, it can represent dynamical behaviors including boundedness, global asymptotical stability and persistence of positive solution. Finally, two examples are given to demonstrate the effectiveness of the results obtained.
- Beverton-Holt population model,
- fuzzy discrete system,
- boundedness,
- persistence,
- global asymptotic behavior
Citation: Qianhong Zhang, Fubiao Lin, Xiaoying Zhong. On discrete time Beverton-Holt population model with fuzzy environment[J]. Mathematical Biosciences and Engineering, 2019, 16(3): 1471-1488. doi: 10.3934/mbe.2019071

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Abstract

In this work, dynamical behaviors of discrete time Beverton-Holt population model with fuzzy parameters are studied. It provides a flexible model to fit population data. For three different fuzzy parameters and fuzzy initial conditions, according to a generalization of division (g-division) of fuzzy number, it can represent dynamical behaviors including boundedness, global asymptotical stability and persistence of positive solution. Finally, two examples are given to demonstrate the effectiveness of the results obtained.

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