Dynamical analysis, stability and discretization of fractional-order predator-prey model with negative feedback on two species

‎The Lotka-Volterra model is an important model being employed in biological phenomena to investigate the nonlinear interaction among existing species‎. ‎In this work‎, ‎we first consider an integer order predator-prey model with negative feedback on both prey and predator‎. ‎Then by introducing a fractional model into the existing one‎, ‎we give them a specified memory‎. ‎We also obtain its discretized counterpart‎. ‎Finally‎, ‎along with giving the biological interpretation of the system‎, ‎the stability and dynamical analysis of the proposed model are investigated and the results are illustrated as well‎.

Dynamical analysis, stability and discretization of fractional-order predator-prey model with negative feedback on two species Keywords:

Fractional calculus , Predator-prey , Lotka-Volterra , Stability , Discretization

Dynamical analysis, stability and discretization of fractional-order predator-prey model with negative feedback on two species authors

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Dep. of Applied Mathematics, Yadegar-e-Imam Khomeini (RAH), Shahr-rey Branch, Islamic Azad University, Tehran, Iran.

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Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran

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Dep. of Applied Mathematics, Yadegar-e-Imam Khomeini (RAH), Shahr-rey Branch, Islamic Azad University, Tehran, Iran.

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https://civilica.com/doc/1561136

Document National Code:

JR_IJNAA-12-2_056

Index date: 2 December 2022

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Ranking of Islamic Azad University of Shahr Rey

Type of center: دانشگاه آزاد

Paper count: 6,537

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