汉坦病毒传播模型行波解的存在性

doi:10.6040/j.issn.1671-9352.0.2018.227

《山东大学学报(理学版)》 ›› 2018, Vol. 53 ›› Issue (12): 48-52.doi: 10.6040/j.issn.1671-9352.0.2018.227

汉坦病毒传播模型行波解的存在性

马霞,姚美萍

山西大学数学科学学院, 山西太原 030006

出版日期:2018-12-20 发布日期:2018-12-18
作者简介:马霞(1993— ),女,硕士研究生,研究方向为生物数学. E-mail:18406593017@163.com*通信作者简介:姚美萍(1978— ),女,博士研究生,副教授,研究方向为微分方程与动力系统定性理论研究. E-mail:yaomp@sxu.edu.cn
基金资助:
国家自然科学基金资助项目(11501339);山西省青年科技研究基金资助项目(2014021009)

Existence of traveling wave solutions for hantavirus transmission model

MA Xia, YAO Mei-ping

School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, China

Online:2018-12-20 Published:2018-12-18

摘要/Abstract

摘要： 考虑了具有扩散-反应的汉坦病毒传播模型。利用Schauder不动点定理证明了模型行波解的存在性且给出了最小波速。通过构造负单边拉普拉斯证明了行波解的不存在性。

关键词: 汉坦病毒传播模型, 行波解, 最小波速

Abstract: In this paper, we consider a diffusion-reaction model for the spread of hantavirus. The existence of traveling wave solutions is obtained by Schauders fixed point theorem and the minimal wave speed is given. The nonexistence of traveling wave solutions is obtained by introducing a negative one-sided Laplace transform.

Key words: hantavirus transmission model, traveling wave solution, minimal wave speed

中图分类号:

O175.23

马霞,姚美萍. 汉坦病毒传播模型行波解的存在性[J]. 《山东大学学报(理学版)》, 2018, 53(12): 48-52.

MA Xia, YAO Mei-ping. Existence of traveling wave solutions for hantavirus transmission model[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(12): 48-52.

参考文献

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汉坦病毒传播模型行波解的存在性

Existence of traveling wave solutions for hantavirus transmission model

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