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| DOI | 10.1007/s00033-023-02180-w |
| Dynamics analysis of a reaction-diffusion malaria model accounting for asymptomatic carriers | |
| 发表日期 | 2024 |
| ISSN | 0044-2275 |
| EISSN | 1420-9039 |
| 起始页码 | 75 |
| 结束页码 | 2 |
| 卷号 | 75期号:2 |
| 英文摘要 | A significant proportion of malaria infections in humans exhibit no symptoms, but it is a reservoir for maintaining malaria transmission. A time periodic reaction-diffusion model for malaria spread is introduced in this paper, incorporating spatial heterogeneity, incubation periods, symptomatic and asymptomatic carriers. This paper introduces the concept of the basic reproduction number , which is defined as the spectral radius of the next generation operator, and we present some preliminary results by elementary analysis. The threshold dynamic behavior analysis shows that when R-0 < 1 , the disease is extinct, and when R-0 > 1 , the disease is persistent. We investigate the case of constant system parameters, focusing on the global asymptotic stability of the disease-free steady state when R-0 =1 . In the numerical simulation section, we validate the theoretical results obtained, and then use elasticity analysis methods to explore the influence of parameters on the output solution. In addition, sensitivity analysis of the basic reproduction number under homogeneous conditions indicates direction of controlling malaria transmission. And several control measures are evaluated in the following steps. |
| 英文关键词 | Malaria spread model; Global stability; Basic reproduction number; Asymptomatic carriers |
| 语种 | 英语 |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied |
| WOS记录号 | WOS:001173145400001 |
| 来源期刊 | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
 |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/293301 |
| 作者单位 | Shandong Technology & Business University; Beijing Institute of Fashion Technology; Anhui Polytechnic University; Nanjing University of Information Science & Technology |
| 推荐引用方式 GB/T 7714 | . Dynamics analysis of a reaction-diffusion malaria model accounting for asymptomatic carriers[J],2024,75(2). |
| APA | (2024).Dynamics analysis of a reaction-diffusion malaria model accounting for asymptomatic carriers.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,75(2). |
| MLA | "Dynamics analysis of a reaction-diffusion malaria model accounting for asymptomatic carriers".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 75.2(2024). |
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