摘 要:Volterra 捕食与被捕食模型是研究捕食与被捕食两个物种之间动态变化的模型。文章基于该模型,增加更多的新物种以及物种关系,人为规定一个生态系统的运行机制,通过模拟仿真,研究生物群落的动态变化过程,并为以下工作提供思路。通过改变相应参数,发掘种群之间变化关系;事实上,其中竞争、捕食关系等变化率参数不一定是恒定的数值。在庞大数据的支持下,完全可以分析数据得到相关参数,探究参数背后的具体含义,并获得相应结论。
关键词:Volterra;捕食与被捕食模型;群落动态演变
DOI:10.19850/j.cnki.2096-4706.2022.09.032
中图分类号:TP391.9 文献标识码:A 文章编号:2096-4706(2022)09-0126-04
Research on Community Dynamic Evolution Based on Volterra Preda Tor-Prey Model
ZHANG Ruiyang
(South China Normal University, Guangzhou 510631, China)
Abstract: The Volterra predator-prey model is a model for studying the dynamic changes between the two species of predatorprey. Based on the model, this paper adds more new species and species relationships, artificially stipulates the operating mechanism of an ecosystem, studies the dynamic change process of biological community, and provides ideas for the following work. By changing the corresponding parameters, the changing relationships between populations are explored. In fact, the parameters of changing rate such as competition and predation relationship are not necessarily constant values. With the support of huge data, it is completely possible to analyze the data to get relevant parameters, explore the specific meaning behind the parameters, and get corresponding conclusions.
Keywords: Volterra; predator-prey model; community dynamic evolution
参考文献:
[1] 王艳兵 . 基于 Maple 软件的非线性四种群捕食模型的定性分析 [J]. 曲靖师范学院学报,2017,36(3):8-10.
[2] 陈恩,段德光,李昊,等 . 一种基于 WPF 方法的 SEIR传染病动力学模型仿真研究 [J]. 医疗卫生装备,2020,41(3):1-6+12.
[3] 李艳梅,杨涛,荣朝和 . 协调型制度的进化博弈分析 [J].管理工程学报,2007(2):134-137.
[4] 韩中庚 . 数学建模方法及其应用 [M]. 北京:高等教育出版社,2009.
[5] 司守奎,孙玺倩 . 数学建模算法与应用 [M]. 北京:国防工业出版社,2014.
作者简介:张睿洋(2000.12—),男,汉族,广东深圳人,本科在读,研究方向:应用数学。