Turing Instability in aPathogen Host Immune Model with Diffusion
In order to study the effects of diffusion function on the dynamics between pathogens and host immune cells，a reaction-diffusion model of pathogen-host immune with homogeneous Neumann boundary condition is constructed. Taking the diffusion ratio ρ of pathogens and immune cells as a parameter，the cri...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2021-02-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1932 |
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| _version_ | 1849396373667971072 |
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| author | WANGJingnan YANGDezhong LULanfen |
| author_facet | WANGJingnan YANGDezhong LULanfen |
| author_sort | WANGJingnan |
| collection | DOAJ |
| description | In order to study the effects of diffusion function on the dynamics between pathogens and host immune cells，a reaction-diffusion model of pathogen-host immune with homogeneous Neumann boundary condition is constructed. Taking the diffusion ratio ρ of pathogens and immune cells as a parameter，the critical conditions of Turing instability are obtained by using partial differential equation theories to discuss the characteristic root distribution of the linearized system at the positive equilibrium solution. Matlab numerical simulations are performed to show the dynamic phenomenon of Turing instability in the pathogen-host immune model. Furthermore，diffusion mechanisms of the pathogen and immune cell in the dynamic phenomenon of Turing instability are discussed. |
| format | Article |
| id | doaj-art-bada548b2f364132937211d21aa08029 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2021-02-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-bada548b2f364132937211d21aa080292025-08-20T03:39:21ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832021-02-01260114915610.15938/j.jhust.2021.01.022Turing Instability in aPathogen Host Immune Model with DiffusionWANGJingnan0YANGDezhong1LULanfen2School of Appied Sciences, Harbin University of Science and Technology, Harbin 150080, ChinaSchool of Appied Sciences, Harbin University of Science and Technology, Harbin 150080, ChinaSchool of Appied Sciences, Harbin University of Science and Technology, Harbin 150080, ChinaIn order to study the effects of diffusion function on the dynamics between pathogens and host immune cells，a reaction-diffusion model of pathogen-host immune with homogeneous Neumann boundary condition is constructed. Taking the diffusion ratio ρ of pathogens and immune cells as a parameter，the critical conditions of Turing instability are obtained by using partial differential equation theories to discuss the characteristic root distribution of the linearized system at the positive equilibrium solution. Matlab numerical simulations are performed to show the dynamic phenomenon of Turing instability in the pathogen-host immune model. Furthermore，diffusion mechanisms of the pathogen and immune cell in the dynamic phenomenon of Turing instability are discussed.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1932pathogenhost immunityreactiondiffusionturinginstability |
| spellingShingle | WANGJingnan YANGDezhong LULanfen Turing Instability in aPathogen Host Immune Model with Diffusion Journal of Harbin University of Science and Technology pathogenhost immunity reactiondiffusion turinginstability |
| title | Turing Instability in aPathogen Host Immune Model with Diffusion |
| title_full | Turing Instability in aPathogen Host Immune Model with Diffusion |
| title_fullStr | Turing Instability in aPathogen Host Immune Model with Diffusion |
| title_full_unstemmed | Turing Instability in aPathogen Host Immune Model with Diffusion |
| title_short | Turing Instability in aPathogen Host Immune Model with Diffusion |
| title_sort | turing instability in apathogen host immune model with diffusion |
| topic | pathogenhost immunity reactiondiffusion turinginstability |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1932 |
| work_keys_str_mv | AT wangjingnan turinginstabilityinapathogenhostimmunemodelwithdiffusion AT yangdezhong turinginstabilityinapathogenhostimmunemodelwithdiffusion AT lulanfen turinginstabilityinapathogenhostimmunemodelwithdiffusion |