高师理科学刊2024，Vol.44Issue(3)：19-28,10.DOI:10.3969/j.issn.1007-9831.2024.03.004
一类具有交错扩散项的疟疾模型的共存解
Coexistence solutions for a class of malaria models with cross-diffusion terms
摘要
Abstract
In order to understand the transmission mechanism of malaria in human and mosquitoes,complex diffusion structures and heterogeneous environments is introduced to traditional malaria ordinary differential equation models.The relationship between the basic reproduction number and the cross-diffusion coefficient as well as other parameters is explored,and the upper-lower solution method is also utilized to study the existence of coexisting solutions.The results imply that when the low-risk threshold value is greater than one,the malaria virus carried by populations and mosquito populations can coexist,which is not conducive to the prevention and control of malaria.While the high-risk threshold value is less than or equal to one,the malaria virus will disappear.Finally,numerical simulations and epidemiological explanations are provided.关键词
疟疾模型/异质环境/交错扩散/共存解Key words
malaria model/heterogeneous environment/cross-diffusion/coexistence solution分类
数理科学引用本文复制引用
颜春悦,朱敏,许勇..一类具有交错扩散项的疟疾模型的共存解[J].高师理科学刊,2024,44(3):19-28,10.基金项目
新时代育人质量工程省级研究生教育教学改革研究资助项目(2022jyjxggyj168) （2022jyjxggyj168）
安徽省高等教育重大决策部署研究项目(2022jcbs020) （2022jcbs020）
安徽省质量工程一般教研项目(2022jyxm527) （2022jyxm527）
