ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Approximate Analytical Expression of Diffusive Lotka-Volterra Prey-Predator Equations via Variational Iteration Method

Journal of Applied Nonlinear Dynamics 11(3) (2022) 741--753 | DOI:10.5890/JAND.2022.09.013

Suganya Govindaraj, Senthamarai Rathinam

Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur-603 203, Tamil Nadu, India

Abstract

The diffusive Lotka-Volterra model of a prey and predator interaction is analyzed. The model is based on nonlinear differential equation with reaction diffusion term. The approximate analytical expression for diffusive Lotka-Volterra differential equation model has been derived. We employ the Variational Iteration Method to solve this nonlinear boundary value problem. Numerical simulation is obtained through MATLAB software. Both the analytical results and numerical simulation are compared and there is a satisfactory agreement between them.

Acknowledgments

The authors are very much thankful to the management, SRM Institute of Science and Technology for their continuous support and encouragement.

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