蒙特卡罗模拟在物理与生物学中的应用  

APPLICATIONS OF MONTE CARLO SIMULATION IN PHYSICS AND BIOLOGY

作　　者：郭竞达 史旭光[1] GUO Jingda;SHI Xuguang(College of Science,Beijing Forestry University,Beijing 100000)

机构地区：[1]北京林业大学理学院,北京100000

出　　处：《物理与工程》2021年第4期21-26,共6页Physics and Engineering

基　　金：河南省科技厅开放合作项目(182106000023)。

摘　　要：本文使用计算机Matlab编程,用蒙特卡罗数值方法对正方形内任意两点的平均距离和伽尔顿板进行了模拟分析。其中,“正方形内任意两点的平均距离”与“伽尔顿板”两组实验结果与常规实验得到的结果相符合,从而验证了蒙特卡罗方法在物理研究中是有效和可靠的数值方法。而后将这一方法用于分析“传染病的传播”问题中,蒙特卡罗数值模拟方法对于在不同条件下传染病的扩散进行了分析。该模型对于对传染病的防控措施具有一定的借鉴作用。In this paper,based on Matlab program,Monte Carlo numerical method is used to simulate and analyze three problems as the average distance between any two points in a square,Galton board and the spread of infectious diseases.The simulation results of the average distance between any two points in a square and Galton board are consistent with their conventional experimental results,which proves that the Monte Carlo simulation is an effective and reliable in research.Then,this method is used to analyze the spread of infectious diseases,and the Monte Carlo numerical method is used to analyze the spread of infectious diseases under different conditions,which reveals how the conditions,such as safeguard and infective power,affect the spread of the disease.This model can provide reference in the prevention and control of infectious diseases.

关 键 词：蒙特卡罗模拟 MATLAB 伽尔顿板 预测模型 

分 类 号：R181[医药卫生—流行病学] O242[医药卫生—公共卫生与预防医学]