吉林大学学报(理学版) ›› 2020, Vol. 58 ›› Issue (1): 41-46.

• 数学 • 上一篇    下一篇

具有迁移性质的RossMacdonald系统的格子Boltzmann方法

李婷1,2, 闫广武2   

  1. 1. 吉林化工学院 理学院, 吉林 吉林 132022; 2. 吉林大学 数学学院, 长春 130012
  • 收稿日期:2019-05-09 出版日期:2020-01-26 发布日期:2020-01-12
  • 通讯作者: 闫广武 E-mail:yangw_jlu@126.com

Lattice Boltzmann Method for RossMacdonald System with Drift Property

LI Ting1,2, YAN Guangwu2   

  1. 1. School of Science, Jilin University of Chemical Technology, Jilin 132022, China;
    2. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2019-05-09 Online:2020-01-26 Published:2020-01-12
  • Contact: YAN Guangwu E-mail:yangw_jlu@126.com

摘要: 用格子Boltzmann方法研究描述疟疾病疟蚊系统的具有迁移性质的RossMacdonald方程, 先构建Ross-Macdonald方程的格子Boltzmann模型, 再用该模型对疟疾病疟蚊系统进行数值模拟, 并将格子Boltzmann方法与有限差分方法的数值解进行比较. 结果表明, 该方法可用于模拟疟疾病疟蚊系统.

关键词: 格子Boltzmann模型, RossMacdonald方程, 疟疾病疟蚊系统

Abstract: We used the lattice Boltzmann method to study the RossMacdonald equations with drift property  which described the MalariaMalaria mosquito system. We first constructed a lattice Boltzmann model for the RossMacdonald equations, then used this model to simulate  the MalariaMalaria mosquito system, and compared the numerical solutions of the lattice Boltzmann  method with those of the finite difference method. The results show that this method can be used to 
simulate the MalariaMalaria mosquito system.

Key words: lattice Boltzmann model, RossMacdonald equations, MalariaMalaria mosquito system

中图分类号: 

  • O242.1