Jurnal Matematika: MANTIK
Vol. 6 No. 2 (2020): Mathematics and Applied Mathematics

Dynamics of Predator-Prey Model Interaction with Harvesting Effort

Muhammad Ikbal (Universitas Muslim Maros)
Riskawati (Universitas Muslim Maros)

Article Info

Publish Date
31 Oct 2020

Abstract

In this research, we study and construct a dynamic prey-predator model. We include an element of intraspecific competition in both predators. We formulated the Holling type I response function for each predator. We consider all populations to be of economic value so that they can be harvested. We analyze the positive solution, the existence of the equilibrium points, and the stability of the balance points. We obtained the local stability condition by using the Routh-Hurwitz criterion approach. We also simulate the model. This research can be developed with different response function formulations and harvest optimization.

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Journal Info
Jurnal Matematika: MANTIK
Website

Abbrev

mantik

Publisher

Universitas Islam Negeri Sunan Ampel

Subject

Mathematics

Description

Jurnal Matematika MANTIK is a mathematical journal published biannually by the Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya. Journal includes research papers, literature studies, analysis, and problem-solving in Mathematics (Algebra, Analysis, Statistics, ...