The blood-stage dynamics of malaria infection with immune response
This article is concerned with the dynamics of malaria infection model with diffusion and delay. The disease free threshold $ \Re _0 $ and the immune response threshold value $ \Re _1 $ of the malaria infection are obtained, which characterize the stability of the disease free equilibrium and infect...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2021-12-01
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| Series: | Journal of Biological Dynamics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/17513758.2021.2017033 |
| _version_ | 1819096756985528320 |
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| author | Jian Liu Zhiming Guo Hongpeng Guo |
| author_facet | Jian Liu Zhiming Guo Hongpeng Guo |
| author_sort | Jian Liu |
| collection | DOAJ |
| description | This article is concerned with the dynamics of malaria infection model with diffusion and delay. The disease free threshold $ \Re _0 $ and the immune response threshold value $ \Re _1 $ of the malaria infection are obtained, which characterize the stability of the disease free equilibrium and infection equilibrium (with or without immune response). In addition, fluctuations occur when the model undergoes Hopf bifurcation as the delay passes through a certain critical value $ \tau _0 $ . In this case, periodic oscillation appears near the positive steady state, which implies the recurrent attacks of disease. Finally, numerical simulations are provided to illustrate the theoretical results. |
| first_indexed | 2024-12-22T00:04:16Z |
| format | Article |
| id | doaj.art-2c92f63e27b54f9aaa24bd62392c8993 |
| institution | Directory Open Access Journal |
| issn | 1751-3758 1751-3766 |
| language | English |
| last_indexed | 2024-12-22T00:04:16Z |
| publishDate | 2021-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj.art-2c92f63e27b54f9aaa24bd62392c89932022-12-21T18:45:36ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662021-12-010012610.1080/17513758.2021.20170332017033The blood-stage dynamics of malaria infection with immune responseJian Liu0Zhiming Guo1Hongpeng Guo2Center for Applied Mathematics, Guangzhou UniversityCenter for Applied Mathematics, Guangzhou UniversityCenter for Applied Mathematics, Guangzhou UniversityThis article is concerned with the dynamics of malaria infection model with diffusion and delay. The disease free threshold $ \Re _0 $ and the immune response threshold value $ \Re _1 $ of the malaria infection are obtained, which characterize the stability of the disease free equilibrium and infection equilibrium (with or without immune response). In addition, fluctuations occur when the model undergoes Hopf bifurcation as the delay passes through a certain critical value $ \tau _0 $ . In this case, periodic oscillation appears near the positive steady state, which implies the recurrent attacks of disease. Finally, numerical simulations are provided to illustrate the theoretical results.http://dx.doi.org/10.1080/17513758.2021.2017033malariadelaydiffusionstabilityhopf bifurcation |
| spellingShingle | Jian Liu Zhiming Guo Hongpeng Guo The blood-stage dynamics of malaria infection with immune response Journal of Biological Dynamics malaria delay diffusion stability hopf bifurcation |
| title | The blood-stage dynamics of malaria infection with immune response |
| title_full | The blood-stage dynamics of malaria infection with immune response |
| title_fullStr | The blood-stage dynamics of malaria infection with immune response |
| title_full_unstemmed | The blood-stage dynamics of malaria infection with immune response |
| title_short | The blood-stage dynamics of malaria infection with immune response |
| title_sort | blood stage dynamics of malaria infection with immune response |
| topic | malaria delay diffusion stability hopf bifurcation |
| url | http://dx.doi.org/10.1080/17513758.2021.2017033 |
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