E3S Web Conf.
Volume 328, 2021International Conference on Science and Technology (ICST 2021)
|Number of page(s)||6|
|Section||Mathematic Model, Learning Modelep, Epidemic Model|
|Published online||06 December 2021|
The Dynamics and Harvesting Effect Population One Prey Two Predator with Schooling Behavior
Department of Mathematics Education, Faculty of Teacher Training and Education, Musamus University, Jl. Kamizaun Mopah Lama Merauke 99600, Indonesia.
* Corresponding author: email@example.com
This paper, the model considered is a predator-prey model for an exploited population. Predator and prey species in the offered concept have schooling characteristics. The characteristics of schooling are very similar to behavior in natural ecosystems. Based on the equilibrium analysis obtained five equilibrium points. The equilibrium point is the only one that satisfies the equilibrium model based on the Routh-Hurwitz criteria. Meanwhile, harvesting effort using the chosen equilibrium point was also calculated in the study. The principle of bionomic equilibrium is a method of showing the results of harvesting as a parameter control. Numerical simulations are also carried tor to validate the findings in the research discussion. Parameters taken from assumptions and references become important and critical references. Trajectories show a population of prey and predator one population that continues to be sustainable despite harvesting efforts. Meanwhile, different trajectories are shown by the population of two predators, which experienced a decrease in population growth. Harvesting attempts carried out on predator two continuously until a certain time will result in serious extinctions.
Key words: predator-prey / schooling / stability / harvesting
© The Authors, published by EDP Sciences, 2021
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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