Delay induced spatiotemporal patterns in a diffusive intraguild predation model with Beddington-DeAngelis functional response
A diffusive intraguild predation model with delay and Beddington-DeAngelis functional response is considered. Dynamics including stability and Hopf bifurcation near the spatially homogeneous steady states are investigated in detail. Further, it is numerically demonstrated that delay can trigger the...
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| Format: | Article |
| Language: | English |
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AIMS Press
2018-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2018027 |
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| _version_ | 1832590051633004544 |
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| author | Renji Han Binxiang Dai Lin Wang |
| author_facet | Renji Han Binxiang Dai Lin Wang |
| author_sort | Renji Han |
| collection | DOAJ |
| description | A diffusive intraguild predation model with delay and Beddington-DeAngelis functional response is considered. Dynamics including stability and Hopf bifurcation near the spatially homogeneous steady states are investigated in detail. Further, it is numerically demonstrated that delay can trigger the emergence of irregular spatial patterns including chaos. The impacts of diffusion and functional response on the model's dynamics are also numerically explored. |
| format | Article |
| id | doaj-art-63f4ae79d8eb41e0b32e96d7b1d0bf4f |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2018-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-63f4ae79d8eb41e0b32e96d7b1d0bf4f2025-01-24T02:40:50ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-05-0115359562710.3934/mbe.2018027Delay induced spatiotemporal patterns in a diffusive intraguild predation model with Beddington-DeAngelis functional responseRenji Han0Binxiang Dai1Lin Wang2School of Science, Zhejiang University of Science & Technology, Hangzhou, 310023, ChinaSchool of Mathematics and Statistics, Central South University, Changsha, 410083, ChinaSchool of Mathematics and Statistics, Central South University, Changsha, 410083, ChinaA diffusive intraguild predation model with delay and Beddington-DeAngelis functional response is considered. Dynamics including stability and Hopf bifurcation near the spatially homogeneous steady states are investigated in detail. Further, it is numerically demonstrated that delay can trigger the emergence of irregular spatial patterns including chaos. The impacts of diffusion and functional response on the model's dynamics are also numerically explored.https://www.aimspress.com/article/doi/10.3934/mbe.2018027intraguild predationdelaydiffusionbeddington-deangelis functional responsespatiotemporal dynamicshopf bifurcationchaos |
| spellingShingle | Renji Han Binxiang Dai Lin Wang Delay induced spatiotemporal patterns in a diffusive intraguild predation model with Beddington-DeAngelis functional response Mathematical Biosciences and Engineering intraguild predation delay diffusion beddington-deangelis functional response spatiotemporal dynamics hopf bifurcation chaos |
| title | Delay induced spatiotemporal patterns in a diffusive intraguild predation model with Beddington-DeAngelis functional response |
| title_full | Delay induced spatiotemporal patterns in a diffusive intraguild predation model with Beddington-DeAngelis functional response |
| title_fullStr | Delay induced spatiotemporal patterns in a diffusive intraguild predation model with Beddington-DeAngelis functional response |
| title_full_unstemmed | Delay induced spatiotemporal patterns in a diffusive intraguild predation model with Beddington-DeAngelis functional response |
| title_short | Delay induced spatiotemporal patterns in a diffusive intraguild predation model with Beddington-DeAngelis functional response |
| title_sort | delay induced spatiotemporal patterns in a diffusive intraguild predation model with beddington deangelis functional response |
| topic | intraguild predation delay diffusion beddington-deangelis functional response spatiotemporal dynamics hopf bifurcation chaos |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2018027 |
| work_keys_str_mv | AT renjihan delayinducedspatiotemporalpatternsinadiffusiveintraguildpredationmodelwithbeddingtondeangelisfunctionalresponse AT binxiangdai delayinducedspatiotemporalpatternsinadiffusiveintraguildpredationmodelwithbeddingtondeangelisfunctionalresponse AT linwang delayinducedspatiotemporalpatternsinadiffusiveintraguildpredationmodelwithbeddingtondeangelisfunctionalresponse |