Dynamical Analysis Discrete of Euler Scheme for Harvested Predator-Prey Model with Ratio-Dependent Response Function and Prey Refuge

DOI

10.2991/miseic-19.2019.14How to use a DOI?

Keywords

Dynamical Analysis, Discrete, Euler, Harvested Predator-Prey Model, Ratio-Dependent Response Function, Prey Refuge

Abstract

In this research, Euler method is applied to discretize a harvested predator prey model with ratio-dependent response function and prey refuge. The existence and stability of fixed points has been analyzed. Stability of each fixed point shown that the fixed points are stable for small size of time step. Such dynamical properties are also confirmed by numerical simulations.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - A Hadi
AU  - Abdul Hadi
AU  - Siti Nurul Afiyah
AU  - Vivi Aida Fitria
PY  - 2019/12
DA  - 2019/12
TI  - Dynamical Analysis Discrete of Euler Scheme for Harvested Predator-Prey Model with Ratio-Dependent Response Function and Prey Refuge
BT  - Proceedings of the Mathematics, Informatics, Science, and Education International Conference (MISEIC 2019)
PB  - Atlantis Press
SP  - 32
EP  - 35
SN  - 2352-538X
UR  - https://doi.org/10.2991/miseic-19.2019.14
DO  - 10.2991/miseic-19.2019.14
ID  - Hadi2019/12
ER  -