Modeling and Stability Analysis of the Dynamics of Prey-Predator Population

Md Asraful Islam; Tanvir Ahmed

doi:10.3329/jnujsci.v11i1.76695

Modeling and Stability Analysis of the Dynamics of Prey-Predator Population

Authors

Md Asraful Islam Department of Mathematics, Jagannath University, Dhaka-1100, Bangladesh
Tanvir Ahmed Department of Mathematics, Jagannath University, Dhaka-1100, Bangladesh

DOI:

https://doi.org/10.3329/jnujsci.v11i1.76695

Keywords:

Prey-predator systems, Population, Species, Stability, Equilibrium Points

Abstract

The aim of this work is to investigate the numerical study of prey-predator model and give a thorough overview of the existing research. Here we see instances that involve stability analysis, phase plane, and phase portrait, among others. Furthermore, a numerical simulation is shown to illustrate the results of the prey-predator model. This is to provide light on the procedures followed in order to arrive at the conclusions. The one-prey, one-predator principle is discussed in this article from multiple theoretical perspectives. Finally, for various parameter values and time intervals, we have demonstrated the phase portraits and the dynamic behavior of the pre-predator model.

Jagannath University Journal of Science, Volume 11, Number 1, June 2024, pp. 81−93

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Published

2024-10-21

How to Cite

Islam, M. A., & Ahmed, T. (2024). Modeling and Stability Analysis of the Dynamics of Prey-Predator Population. Jagannath University Journal of Science, 11(1), 81−93. https://doi.org/10.3329/jnujsci.v11i1.76695