| Issue |
E3S Web Conf.
Volume 73, 2018
The 3rd International Conference on Energy, Environmental and Information System (ICENIS 2018)
|
|
|---|---|---|
| Article Number | 06018 | |
| Number of page(s) | 5 | |
| Section | Environmental Health, Toxicology and Epidemiology | |
| DOI | https://doi.org/10.1051/e3sconf/20187306018 | |
| Published online | 21 December 2018 | |
Analysis of optimal harvesting of a prey-predator fishery model with the limited sources of prey and presence of toxicity
Department of Mathematics, Faculty of Sciences and Mathematics, Diponegoro University, Semarang - Indonesia
* Corresponding author: sutimin@undip.ac.id
A model of prey and predator species is discussed to study the effects of the limited prey density and presence of toxicity. The model is studied for sustainable optimal harvesting. The existence of equilibrium points is analyzed to find the stability of coexistence equilibrium, and use Pontryagin’s maximal method to obtain the sustainable optimal harvesting. The results show that the optimal harvesting is obtained from the solution of optimal equilibrium. The toxicity factor decreases the sustainable harvesting.
Key words: Prey-predator / harvesting / stability / equilibrium
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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