Author(s):
1. Muhammad Waqas Yasin:
University of Narowal, Narowal, Pakistan.
Abstract:
In this talk, a ratio-dependent prey-predator system is considered. The stability analysis is carried out about the coexistence equilibrium. The conditions for the Hopf bifurcation and Turing instability are derived. These conditions help to analyze the formation of patterns in the prey-predator system. The dispersion relation shows the changing behavior of the Hopf bifurcation and Turing instability from stable to unstable. The bifurcation and Turing instability simulation divide the parametric space into 4 Regions. Different types of Turing patterns are produced. The numerical solution of the model is obtained by a positivity preserving finite difference scheme. The analysis of the scheme is also established. The 3D and 2D plots are drawn for the various parametric values. The numerical simulations support the analytical results.
Page(s):
171-171
DOI:
DOI not available
Published:
Journal: 4th International Conference of Sciences “Revamped Scientific Outlook of 21st Century, 2025” , November 12,2025, Volume: 1, Issue: 1, Year: 2025
Keywords:
Population dynamics
,
Results
,
Turning patterns
,
Computational scheme
References:
References are not available for this document.
Citations
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