Abstract
In this paper we study the dynamics of predator-prey model with allelopathic effect on prey. We find that the model has four equilibrium points that are extinction of prey equilibrium, the extinction of predator equilibrium, the extinction of both predator and prey, and the coexistence equilibrium. It is shown that the extinction of predator equilibrium and the extinction of both predator and prey equilibrium are unstable, while the extinction of prey equilibrium is conditionally stable. The coexistence equilibrium is unconditionally stable. The analytical results are confirmed by numerical simulations.
| Original language | English |
|---|---|
| Title of host publication | Symposium on Biomathematics, SYMOMATH 2014 |
| Editors | Thomas Gotz, Agus Suryanto |
| Publisher | American Institute of Physics Inc. |
| Pages | 59-63 |
| Number of pages | 5 |
| ISBN (Electronic) | 9780735412934 |
| DOIs | |
| Publication status | Published - 2015 |
| Event | 2nd International Symposium on Biomathematics, SYMOMATH 2014 - Malang, East Java, Indonesia Duration: 31 Aug 2014 → 2 Sept 2014 |
Publication series
| Name | AIP Conference Proceedings |
|---|---|
| Volume | 1651 |
| ISSN (Print) | 0094-243X |
| ISSN (Electronic) | 1551-7616 |
Conference
| Conference | 2nd International Symposium on Biomathematics, SYMOMATH 2014 |
|---|---|
| Country/Territory | Indonesia |
| City | Malang, East Java |
| Period | 31/08/14 → 2/09/14 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 15 Life on Land
Keywords
- allelopathic effect
- predator-prey model
- stabiity analysis
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