Host Extinction Dynamics in a Simple Parasite-Host Interaction Model
This short article carefully formulate a simple SI model for aparasite-host interaction through the basic birth and deathprocesses analysis. This model reveals and corrects an error insimilar models studied recently by various authors. Completemathematical investigation of this simple model shows th...
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2005-09-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.743 |
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| _version_ | 1832590236300869632 |
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| author | Tzy-Wei Hwang Yang Kuang |
| author_facet | Tzy-Wei Hwang Yang Kuang |
| author_sort | Tzy-Wei Hwang |
| collection | DOAJ |
| description | This short article carefully formulate a simple SI model for aparasite-host interaction through the basic birth and deathprocesses analysis. This model reveals and corrects an error insimilar models studied recently by various authors. Completemathematical investigation of this simple model shows that the hostextinction dynamics can happen and the outcomes may depend on theinitial conditions. We also present biological implications of ourfindings. |
| format | Article |
| id | doaj-art-1612c1d41b744caf9598a14b82bbd9e6 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-1612c1d41b744caf9598a14b82bbd9e62025-01-24T01:49:46ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-09-012474375110.3934/mbe.2005.2.743Host Extinction Dynamics in a Simple Parasite-Host Interaction ModelTzy-Wei Hwang0Yang Kuang1Department of Mathematics, Kaohsiung Normal University, 802, Kaohsiung, Taiwan, R.O.C.Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804This short article carefully formulate a simple SI model for aparasite-host interaction through the basic birth and deathprocesses analysis. This model reveals and corrects an error insimilar models studied recently by various authors. Completemathematical investigation of this simple model shows that the hostextinction dynamics can happen and the outcomes may depend on theinitial conditions. We also present biological implications of ourfindings.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.743host extinctionglobal stability.parasite-host interaction |
| spellingShingle | Tzy-Wei Hwang Yang Kuang Host Extinction Dynamics in a Simple Parasite-Host Interaction Model Mathematical Biosciences and Engineering host extinction global stability. parasite-host interaction |
| title | Host Extinction Dynamics in a Simple Parasite-Host Interaction Model |
| title_full | Host Extinction Dynamics in a Simple Parasite-Host Interaction Model |
| title_fullStr | Host Extinction Dynamics in a Simple Parasite-Host Interaction Model |
| title_full_unstemmed | Host Extinction Dynamics in a Simple Parasite-Host Interaction Model |
| title_short | Host Extinction Dynamics in a Simple Parasite-Host Interaction Model |
| title_sort | host extinction dynamics in a simple parasite host interaction model |
| topic | host extinction global stability. parasite-host interaction |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.743 |
| work_keys_str_mv | AT tzyweihwang hostextinctiondynamicsinasimpleparasitehostinteractionmodel AT yangkuang hostextinctiondynamicsinasimpleparasitehostinteractionmodel |