Abstract
Harvesting policy is an important issue in maintaining the existence of a population. This paper is focused on studying the effects of continuous predator threshold harvesting policy on the dynamical behavior of a fractional-order Gause-type predator-prey system. This policy is applied to ensure that harvesting does not occur when the population density is less than a specified threshold. The dynamical analysis is done to study the local stability of equilibrium points and the existence of Hopf bifurcation. By using a fractional-order predictor-corrector method, the numerical results are shown to illustrate the analytical result.
| Original language | English |
|---|---|
| Title of host publication | Symposium on Biomathematics 2019, SYMOMATH 2019 |
| Editors | Mochamad Apri, Vitalii Akimenko |
| Publisher | American Institute of Physics Inc. |
| ISBN (Electronic) | 9780735420243 |
| DOIs | |
| Publication status | Published - 22 Sept 2020 |
| Event | Symposium on Biomathematics 2019, SYMOMATH 2019 - Bali, Indonesia Duration: 25 Aug 2019 → 28 Aug 2019 |
Publication series
| Name | AIP Conference Proceedings |
|---|---|
| Volume | 2264 |
| ISSN (Print) | 0094-243X |
| ISSN (Electronic) | 1551-7616 |
Conference
| Conference | Symposium on Biomathematics 2019, SYMOMATH 2019 |
|---|---|
| Country/Territory | Indonesia |
| City | Bali |
| Period | 25/08/19 → 28/08/19 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 15 Life on Land
Keywords
- Fractional-order
- Predator-prey
- Threshold harvesting
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