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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Stability Analysis of Fractional-Order Predator-Prey System with Square Root Functional Response

Discontinuity, Nonlinearity, and Complexity 15(2) (2026) 253--265 | DOI:10.5890/DNC.2026.06.009

S. Karthikeyan$^1$, P. Ramesh$^2$, M. Sambath$^1$, K. Balachandran$^3$

$^1$ Department of Mathematics, Periyar University, Salem-636 011, India

$^2$ Department of Mathematics, Madanapalle Institute of Technology $&$ Science, Andhra Pradesh -517 325, India

$^3$ Department of Mathematics, Bharathiar University, Coimbatore-641 046, India

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Abstract

In this work, the dynamics of a fractional-order predator-prey system with nonlinear prey harvesting and square root type functional response for prey herd behavior is proposed and analyzed. We establish the existence, uniqueness, non-negativity, and boundedness of the solutions for the proposed model. We study the stability of each equilibrium point in the system as well as the conditions under which each equilibria occur. Additionally, the global stability of the co-existence equilibrium point is examined using a suitable Lyapunov function. To show the consistency of the theoretical method, we conclude with numerical simulations.

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