Ouyang Miao, Zhang Qianhong, Cai Mingji, Zeng Zihao
School of Mathematics and Statistics, Xiamen University of Technology, Xiamen, 361024, Fujian, China.
School of Mathematics, Southwest Jiaotong University, Chengdu, 611756, Sichuan, China.
Sci Rep. 2024 Apr 27;14(1):9682. doi: 10.1038/s41598-024-60178-4.
This paper is concerned with a kind of Bobwhite quail population model where the parameters and initial values are positive parabolic fuzzy numbers. According to g-division of fuzzy sets and based on the symmetrical parabolic fuzzy numbers, the conditional stability of this model is proved. Besides the existence, boundedness and persistence of its unique positive fuzzy solution. When some fuzzy stability conditions are satisfied, the model evolution exhibits oscillations with return to a fixed fuzzy equilibrium no matter what the initial value is. This phenomena provided a vivid counterexample to Allee effect in density-dependent populations of organisms. As a supplement, two numerical examples with data-table are interspersed to illustrate the effectiveness. Our findings have been verified precise with collected northern bobwhite data in Texas, and will help to form some efficient density estimates for wildlife populations of universal applications.
本文关注一种参数和初始值为正抛物线模糊数的北美鹑种群模型。根据模糊集的g-划分并基于对称抛物线模糊数，证明了该模型的条件稳定性。此外，还研究了其唯一正模糊解的存在性、有界性和持久性。当满足一些模糊稳定性条件时，无论初始值如何，模型演化都会呈现振荡并回归到一个固定的模糊平衡点。这一现象为生物密度依赖种群中的阿利效应提供了一个生动的反例。作为补充，穿插了两个带有数据表的数值例子来说明其有效性。我们的研究结果已通过收集得克萨斯州的北部北美鹑数据得到精确验证，并将有助于形成一些适用于广泛野生动物种群的有效密度估计。
