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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

Dynamics of Modified Leslie-Gower Harvested Predator-Prey Model with Beddington-DeAngelis Functional Response

Discontinuity, Nonlinearity, and Complexity 8(2) (2019) 111--125 | DOI:10.5890/DNC.2019.06.001

R. Sivasamy$^{1}$, M. Sivakumar$^{2}$, K. Sathiyanathan$^{1}$, K. Balachandran$^{2}$

$^{1}$ Department of Mathematics, SRMV College of Arts and Science, Coimbatore - 641020, Tamil Nadu, India

$^{2}$ Department of Mathematics, Bharathiar University, Coimbatore - 641046, Tamil Nadu, India

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Abstract

This paper considers a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and nonlinear prey harvesting strategy subject to the zero-flux boundary conditions. To understand the dynamics of the considered system, we derive sufficient conditions for permanence analysis, local stability, global stability and Hopf bifurcation of interior equilibrium point. Further we also investigate the existence and non-existence of non-constant positive steady state solutions.

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