Stability Of a Delayed Predator-Prey Model With Predator Migration

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Published Nov 1, 2017
DOI: https://doi.org/10.18860/icgt.v8i1.644

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Nianatus Sholihah
Mathematics Department, State Islamic University of Maulana Malik Ibrahim Malang
Ari Kusumastuti
Mathematics Department, State Islamic University of Maulana Malik Ibrahim Malang

Abstract

The predator-prey model is one of the interaction models between at least two types of species in the form of ordinary nonlinear differential equations. In this model, based on the availability of prey then we add of time delay with predator migration to describe biological control. In this paper, We will analyze the existance and stability of equilibria. The main theoritical results are perform numerical simulations on changes in the initial value of a population to determine the extent to which human control is done as a predator migration.

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How to Cite
SHOLIHAH, Nianatus; KUSUMASTUTI, Ari. Stability Of a Delayed Predator-Prey Model With Predator Migration. Proceedings of the International Conference on Green Technology, [S.l.], v. 8, n. 1, p. 363-367, nov. 2017. ISSN 2580-7099. Available at: <http://conferences.uin-malang.ac.id/index.php/ICGT/article/view/644>. Date accessed: 25 apr. 2024. doi: https://doi.org/10.18860/icgt.v8i1.644.
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Issue
Vol 8 No 1 (2017): Proceedings of the International Conference on Green Technology
Section
Pure and Applied Mathematics

References

[1] Y. Chen, "Dynamics of a delayed predator–prey model with predator migration," Applied Mathematical Modelling, vol. 37, p. 1400, 2013.