Open AccessBioeconomic two predator-prey model of harvesting fishery
Author(s) -
Stella Maryana Belwawin,
Minuk Riyana,
Diah Harmawati
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1569/3/032003
Subject(s) - pontryagin's minimum principle , predation , bioeconomics , logistic function , predator , profit (economics) , mathematics , mathematical economics , ecology , economics , fishery , mathematical optimization , optimal control , statistics , biology , microeconomics
In this article, the research conducted is a comparison of the Leslie-Gower model with logistical growth in the harvesting of predatory and prey populations. This study discusses reconstructing a modified logistic growth model by using the Holling III response function as well as voting on predator and prey populations, analyzing equilibrium points, determining and bionomic equilibrium. The bionomic equilibrium from harvesting was carried out on the Leslie-Gower modification model P(x ∞ ,y ∞ ,E ∞ ) , maximizing the profit function π of harvesting carried out in the model with pontryagin produced optimal equilibrium (x δ ,y δ ,E δ ) .