Dynamics analysis of a diffusional immunosuppressive infection model with Beddington-DeAngelis functional response
This paper introduces diffusion into an immunosuppressive infection model with virus stimulation delay and Beddington-DeAngelis functional response. First, we study the stability of positive constant steady state solution and show that the Hopf bifurcation will exist under certain conditions. Second...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-09-01
|
| Series: | Electronic Research Archive |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2023309?viewType=HTML |
| _version_ | 1827762068965556224 |
|---|---|
| author | Yuan Xue Jinli Xu Yuting Ding |
| author_facet | Yuan Xue Jinli Xu Yuting Ding |
| author_sort | Yuan Xue |
| collection | DOAJ |
| description | This paper introduces diffusion into an immunosuppressive infection model with virus stimulation delay and Beddington-DeAngelis functional response. First, we study the stability of positive constant steady state solution and show that the Hopf bifurcation will exist under certain conditions. Second, we derive the normal form of the Hopf bifurcation for the model reduced on the center manifold by using the multiple time scales (MTS) method. Moreover, the direction and stability of the bifurcating periodic solution are investigated. Finally, we present numerical simulations to verify the results of theoretical analysis and provide corresponding biological explanations. |
| first_indexed | 2024-03-11T10:23:37Z |
| format | Article |
| id | doaj.art-630e19db0a3b4c1988d9925fd0eed9fe |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-03-11T10:23:37Z |
| publishDate | 2023-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-630e19db0a3b4c1988d9925fd0eed9fe2023-11-16T01:31:54ZengAIMS PressElectronic Research Archive2688-15942023-09-0131106071608810.3934/era.2023309Dynamics analysis of a diffusional immunosuppressive infection model with Beddington-DeAngelis functional responseYuan Xue0Jinli Xu1Yuting Ding2College of Science, Northeast Forestry University, Harbin 150040, ChinaCollege of Science, Northeast Forestry University, Harbin 150040, ChinaCollege of Science, Northeast Forestry University, Harbin 150040, ChinaThis paper introduces diffusion into an immunosuppressive infection model with virus stimulation delay and Beddington-DeAngelis functional response. First, we study the stability of positive constant steady state solution and show that the Hopf bifurcation will exist under certain conditions. Second, we derive the normal form of the Hopf bifurcation for the model reduced on the center manifold by using the multiple time scales (MTS) method. Moreover, the direction and stability of the bifurcating periodic solution are investigated. Finally, we present numerical simulations to verify the results of theoretical analysis and provide corresponding biological explanations.https://www.aimspress.com/article/doi/10.3934/era.2023309?viewType=HTMLimmunosuppressive infection modelbeddington-deangelis functional responsedelayhopf bifurcationmultiple time scales |
| spellingShingle | Yuan Xue Jinli Xu Yuting Ding Dynamics analysis of a diffusional immunosuppressive infection model with Beddington-DeAngelis functional response Electronic Research Archive immunosuppressive infection model beddington-deangelis functional response delay hopf bifurcation multiple time scales |
| title | Dynamics analysis of a diffusional immunosuppressive infection model with Beddington-DeAngelis functional response |
| title_full | Dynamics analysis of a diffusional immunosuppressive infection model with Beddington-DeAngelis functional response |
| title_fullStr | Dynamics analysis of a diffusional immunosuppressive infection model with Beddington-DeAngelis functional response |
| title_full_unstemmed | Dynamics analysis of a diffusional immunosuppressive infection model with Beddington-DeAngelis functional response |
| title_short | Dynamics analysis of a diffusional immunosuppressive infection model with Beddington-DeAngelis functional response |
| title_sort | dynamics analysis of a diffusional immunosuppressive infection model with beddington deangelis functional response |
| topic | immunosuppressive infection model beddington-deangelis functional response delay hopf bifurcation multiple time scales |
| url | https://www.aimspress.com/article/doi/10.3934/era.2023309?viewType=HTML |
| work_keys_str_mv | AT yuanxue dynamicsanalysisofadiffusionalimmunosuppressiveinfectionmodelwithbeddingtondeangelisfunctionalresponse AT jinlixu dynamicsanalysisofadiffusionalimmunosuppressiveinfectionmodelwithbeddingtondeangelisfunctionalresponse AT yutingding dynamicsanalysisofadiffusionalimmunosuppressiveinfectionmodelwithbeddingtondeangelisfunctionalresponse |