| Dynamics of a Diffusion Malaria Model With Vector-Bias北大核心CSCD |
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| 引用本文： | 杜彩虹. Dynamics of a Diffusion Malaria Model With Vector-Bias北大核心CSCD[J]. 应用数学和力学, 2023, 44(3): 345-354. DOI: 10.21656/1000-0887.430095 |
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| 作者姓名： | 杜彩虹 |
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| 作者单位： | 西安电子科技大学 数学与统计学院，西安 710126 |
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| 基金项目： | 国家自然科学基金(11971369)；中央高校基本科研业务费专项资金(JB210711) |
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| 摘 要： | 为了探讨季节性、蚊子叮咬的偏好性和人类的扩散对疟疾传播的影响，该文提出了一个部分退化的周期反应扩散模型.利用动力系统的持续性理论，研究了模型关于基本再生数R0的阈值动力学.即当R0<1时，疾病灭绝；而当R0>1时，疾病一致持续，且会发生季节性的流行.数值上发现了忽略空间异质性和蚊子叮咬的偏好性会低估疾病传染的风险.
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| 关 键 词： | 疟疾模型 阈值动力学 季节性 蚊子叮咬的偏好性 空间异质性 |
| 收稿时间： | 2022-03-21 |
Dynamics of a Diffusion Malaria Model With Vector-Bias |
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| Du C.. Dynamics of a Diffusion Malaria Model With Vector-Bias[J]. Applied Mathematics and Mechanics, 2023, 44(3): 345-354. DOI: 10.21656/1000-0887.430095 |
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| Authors: | Du C. |
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| Affiliation: | School of Mathematics and Statistics, Xidian University, Xi’an 710126, P.R.China |
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| Abstract: | In order to explore the combined effects of seasonality, vector-bias and human diffusion on malaria transmission, a partially degenerate periodic reaction-diffusion model was considered. With the persistence theory for dynamical systems, the threshold dynamics for the system was established in terms of basic reproduction number R0. That is, the disease will go extinct if R0 < 1, while the disease will be uniformly persistent and break out seasonally for R0 > 1. Numerical results show that, the neglect of spatial heterogeneity and vector-bias will lead to underestimation of the risk of disease spread. © 2023 Editorial Office of Applied Mathematics and Mechanics. All rights reserved. |
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| Keywords: | malaria model seasonality spatial heterogeneity threshold dynamics vector-bias |
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