Discrete host-parasitoid models with Alleeeffects and age structure in the host
We study a stage-structured single species population model withAllee effects. The asymptotic dynamics of the model depend on themaximal growth rate of the population as well as on its initialpopulation size. We also investigate two models of host-parasitoidinteraction with stage-structure and Alle...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2009-12-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.67 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590228356857856 |
|---|---|
| author | Sophia R.-J. Jang |
| author_facet | Sophia R.-J. Jang |
| author_sort | Sophia R.-J. Jang |
| collection | DOAJ |
| description | We study a stage-structured single species population model withAllee effects. The asymptotic dynamics of the model depend on themaximal growth rate of the population as well as on its initialpopulation size. We also investigate two models of host-parasitoidinteraction with stage-structure and Allee effects in the host.The parasitoid population may drive the host population toextinction in both models even if the initial host population isbeyond the Allee threshold. |
| format | Article |
| id | doaj-art-ee8bb0591b9246908a8cf2474b0d83e6 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-ee8bb0591b9246908a8cf2474b0d83e62025-01-24T02:00:16ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-12-0171678110.3934/mbe.2010.7.67Discrete host-parasitoid models with Alleeeffects and age structure in the hostSophia R.-J. Jang0Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042We study a stage-structured single species population model withAllee effects. The asymptotic dynamics of the model depend on themaximal growth rate of the population as well as on its initialpopulation size. We also investigate two models of host-parasitoidinteraction with stage-structure and Allee effects in the host.The parasitoid population may drive the host population toextinction in both models even if the initial host population isbeyond the Allee threshold.https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.67host-parasitoid interaction.allee effectspopulation threshold |
| spellingShingle | Sophia R.-J. Jang Discrete host-parasitoid models with Alleeeffects and age structure in the host Mathematical Biosciences and Engineering host-parasitoid interaction. allee effects population threshold |
| title | Discrete host-parasitoid models with Alleeeffects and age structure in the host |
| title_full | Discrete host-parasitoid models with Alleeeffects and age structure in the host |
| title_fullStr | Discrete host-parasitoid models with Alleeeffects and age structure in the host |
| title_full_unstemmed | Discrete host-parasitoid models with Alleeeffects and age structure in the host |
| title_short | Discrete host-parasitoid models with Alleeeffects and age structure in the host |
| title_sort | discrete host parasitoid models with alleeeffects and age structure in the host |
| topic | host-parasitoid interaction. allee effects population threshold |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.67 |
| work_keys_str_mv | AT sophiarjjang discretehostparasitoidmodelswithalleeeffectsandagestructureinthehost |