Zhang Qian Hong, Lin Fu Biao, Zhong Xiao Ying
School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou 550025, China.
Library, Guizhou University of Finance and Economics, Guiyang, Guizhou 550025, China.
Math Biosci Eng. 2019 Feb 21;16(3):1471-1488. doi: 10.3934/mbe.2019071.
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.
在这项工作中，研究了具有模糊参数的离散时间贝弗顿 - 霍尔特种群模型的动力学行为。它提供了一个灵活的模型来拟合种群数据。对于三种不同的模糊参数和模糊初始条件，根据模糊数的广义除法（g - 除法），它可以表示包括正解的有界性、全局渐近稳定性和持久性等动力学行为。最后，给出了两个例子来证明所获得结果的有效性。
