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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

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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Keywords 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. Mathematical Biosciences and Engineering, 2019, 16(3): 1471-1488. doi: 10.3934/mbe.2019071


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