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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)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

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

Combined Effects of Allee Effect and Hyperbolic Mortality on Predator-Prey System

Journal of Applied Nonlinear Dynamics 14(1) (2025) 87--108 | DOI:10.5890/JAND.2025.03.006

Kalyanashis Sahoo$^{1}$, Banshidhar Sahoo$^{2}$

$^{1}$ Department of Applied Mathematics, University of Calcutta, 92 APC Road, Kolkata 700009, India

$^{2}$ Department of Mathematics, Hiralal Bhakat College, Birbhum, West Bengal, India

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Abstract

The predator-prey system with additive Allee effect in the growth rate of prey is proposed and studied. The proposed system is extended by introducing hyperbolic mortality rate for top predator instead of using common linear mortality rate. The system is analysed in terms of both analytical and numerical aspects. The model system demonstrates that when the system's parameters are changed, it exhibits both stable and unstable dynamics. The Hopf point bifurcation is also studied in the proposed system. The study enhances dependence of the system's dynamics on Allee effect and other crucial parameters. The discipline of forestry and natural ecology can benefit from the findings and experience gained from this study.

Acknowledgments

Mr. Kalyanashis Sahoo is thankful to the CSIR-HRDG, India for providing financial support under the Senior Research Fellowship scheme (File No. - 09/028(1125)/2019-EMR-I). Authors are grateful to the editor as well as anonymous reviewer for their valuable suggestions.

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