Predator-prey model with prey refuges: Jacobi stability vs Linear stability

Authors

  • Manoj Kumar Department of Mathematics, Dr. Ram Manohar Lohia Avadh University, Ayodhya-224001.
  • Sapna Devi Department of Mathematics, University of Allahabad, Prayagraj-211002.
  • Bankteshwar Tiwari DST-CIMS, Institute of Science, Banaras Hindu University, Varanasi-221005.
  • Vinay Verma Faculty of Mathematical and Statistical Sciences, Institute of Natural Sciences and Humanities,\\ Shri Ramswaroop Memorial University, Lucknow-Deva Road, Barabanki-225003.

Abstract

In this paper, the dynamics of a predator-prey model is proposed and analyzed. Three types of refuges: those that protect a constant number of prey population, a constant proportion of prey population and a function of predator-prey encounters  using refuges are considered. Linear stability analysis based on Lyapunov theory and Jacobi stability analysis based on KCC theory are carried out. Comparisons of results obtained in both cases shows that, Jacobi stability analysis of these models reflects the better ecological
interpretation.

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Published

2025-05-30

Issue

Vol. 32 No. 2 (2025): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2025 Manoj Kumar; Sapna Devi, Bankteshwar Tiwari, Vinay Verma

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Predator-prey model with prey refuges: Jacobi stability vs Linear stability. (2025). Nonlinear Studies, 32(2), 627-642. https://nonlinearstudies.com/index.php/nonlinear/article/view/3925