On discrete time Beverton-Holt population model with fuzzy environment | Zendy

Qianhong Zhang | Zendy; Fubiao Lin | Zendy; Xiaoying Zhong | Zendy

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On discrete time Beverton-Holt population model with fuzzy environment

Author(s) -

Qianhong Zhang,

Fubiao Lin,

Xiaoying Zhong

Publication year - 2019

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2019071

Subject(s) - mathematics , fuzzy logic , discrete time and continuous time , generalization , control theory (sociology) , division (mathematics) , population , stability (learning theory) , exponential stability , mathematical optimization , computer science , statistics , artificial intelligence , nonlinear system , mathematical analysis , control (management) , machine learning , physics , demography , arithmetic , quantum mechanics , sociology

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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