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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

Homoclinic Solutions in Bazykin’s Predator-Prey Model

Discontinuity, Nonlinearity, and Complexity 9(3) (2020) 339--350 | DOI:10.5890/DNC.2020.09.001

Bashir Al-Hdaibat

Department of Mathematics, Hashemite University, Zarqa 131333, P.O. Box 330127, Jordan

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Abstract

In this paper we derive an explicit second-order approximation of the homoclinic solutions in the Bazykin’s predator-prey model. The analytic solutions are compared with those obtained by numerical continuation.

Acknowledgments

This work was supported by the Hashemite University under Grant NO. 49-36-2017. The author would like to thank the referees for the useful suggestions that have substantially improved the quality of the paper.

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