Far East Journal of Dynamical Systems

The Far East Journal of Dynamical Systems publishes original research papers and survey articles in all aspects of dynamical systems, including chaos, fractals, and ergodic theory. It encourages application-oriented research in physics, life sciences, and social sciences.

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RESOLUTION AND NUMERICAL SIMULATION OF A PREY-PREDATOR MODEL WITH INDIVIDUAL MIGRATION

Authors

  • DJIBO Moustapha
  • HAROUNA YAGI Rabiou
  • OUSMANE TOUDOU Issa
  • SALEY Bisso

Keywords:

Numerical resolution and simulation, diffusive Lotka-Volterra prey-predator model.

DOI:

https://doi.org/10.17654/0972111825009

Abstract

This study concerns the numerical resolution and simulation of the Lotka-Volterra diffusive prey-predator model. This model is a system consisting of two semi-linear parabolic partial differential equations. After performing the numerical resolution using the explicit finite difference method, whose consistency and convergence are shown,  we move onto the numerical simulations, which are done under MATLAB software. We started by doing several simulations in 3 dimension (3D) to see different cases. We complete the work with a 2D simulation to compare the non-diffusive case to the diffusive cases.

Received: April 19, 2025
Accepted: May 26, 2025

References

N. D. Alikakos, An application of the invariance principle to reaction diffusion equations, J. Differential Equations 33 (1979), 201-225.

N. Bacaër, Histoire de mathématiques et de populations, Cassini, Paris, 2008.

A. J. Lotka, Analytical note on certain rhythmic relations in organic systems, Proc. Natl. Acad. Sci. 6 (1920), 410-415. www.pnas.org.

A. J. Lotka, Elements of Physical Biology, Williams & Wilkins, 1925.

M. Malec, Schéma des différences finies pour un système d’équations paraboliques non linéaires avec dérivées mixtes, annales polonici mathematici, 1977.

F. Rothe, Global Solutions of Reaction-diffusion Systems, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1984.

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Published

2025-06-30

Issue

Vol. 38 No. 2 (2025)

Section

Articles

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How to Cite

RESOLUTION AND NUMERICAL SIMULATION OF A PREY-PREDATOR MODEL WITH INDIVIDUAL MIGRATION. (2025). Far East Journal of Dynamical Systems, 38(2), 199-216. https://doi.org/10.17654/0972111825009

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