一类具有扩散效应的生物数学模型的斑图  

作　　者：徐思奥 胡伟 张道祥[1] 

机构地区：[1]安徽师范大学,安徽芜湖241002

出　　处：《科技资讯》2018年第11期226-227,229,共3页Science & Technology Information

基　　金：国家级大学生创新创业训练计划项目(项目编号:201610370002)

摘　　要：本文讨论了一类具扩散项的传染病生态模型的空间斑图动力学问题。利用线性稳定性理论确定Turing不稳定和Hopf分支发生的条件,得到了Turing斑图的存在区域。通过数值模拟,得到了不同类型的Turing斑图,比如点状斑图、条状斑图以及点条混合斑图。结果表明疾病接触率对空间斑图的形成具有重要影响,这帮助我们更好的理解在真实环境中传染病的动力学过程。In this paper,we discuss the dynamics of the spatial pattern of the epidemic model with diffusion.Firstly,we determine the conditions of Turing instibility and Hopf bifurcation through the linear stability theorem.And then we obtain the region of Turing pattern.Secondly,some numerical simulations are given to certify different types of Turing patterns,such as spot,stripe a nd mixture of spot-stripe patterns.The obtained results show negative cross diffusion has great inf luence on the spatial pattern formation.It helps us better understand the dynamic processes of epidemic in real environment.

关 键 词：传染病模型 负交叉扩散 Turing斑图 

分 类 号：O175.1[理学—数学]