Abstract

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 (xδ,yδ,Eδ).

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