Open AccessOn discrete time Beverton-Holt population model with fuzzy environment
Author(s) -
Qian Hong Zhang,
Fu Biao Lin,
Xiao Ying 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.