Dynamics of Predator-Prey Model Interaction with Harvesting Effort

Authors

  • Muhammad Ikbal Universitas Muslim Maros
  • Riskawati Universitas Muslim Maros

DOI:

https://doi.org/10.15642/mantik.2020.6.2.93-103

Keywords:

Prey-predator; Intraspecific; Harvesting; Routh-Hurwitz

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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References

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Published

2020-10-31

How to Cite

Ikbal, M., & Riskawati. (2020). Dynamics of Predator-Prey Model Interaction with Harvesting Effort. Jurnal Matematika MANTIK, 6(2), 93–103. https://doi.org/10.15642/mantik.2020.6.2.93-103

Issue

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

Section

Articles

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