COMPUTATIONAL MODELING AND THEORETICAL ANALYSIS OF NONLINEAR FRACTIONAL ORDER PREY–PREDATOR SYSTEM

Amjad Ali (), Kamal Shah (), Hussam Alrabaiah, Zahir Shah (), Ghaus Ur Rahman () and Saeed Islam
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Amjad Ali: Department of Mathematics, Government Jehan Zeb College, Swat, Khyber Pakhtankhawa, Pakistan
Kamal Shah: Department of Mathematics, University of Malakand, Chakdara Dir (Lower), Khyber Pakhtankhawa, Pakistan
Hussam Alrabaiah: Al Ain University, Al Ain, UAE4Mathematics Department, Tafila Technical University, Tafila, Jordan
Zahir Shah: Department of Mathematics, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtoon Khwa Pakistan
Ghaus Ur Rahman: Department of Mathematics & Statistics, University of Swat, Swat, Khyber Pakhtankhawa, Pakistan
Saeed Islam: Department of Mathematics, Abdul Wali Khan University Mardan, KP, Pakistan8Faculty of Mathematics & Statistics, Ton Duc Thang University, Ho Chi Minh City, 70000, Vietnam9Informatics Research Group, Ton Duc Thang University, Ho Chi Minh City 70000, Vietnam

FRACTALS (fractals), 2021, vol. 29, issue 01, 1-14

Abstract: In this work, we investigate a nonlinear fractional order Lotka–Voltera prey–predator model. It is also worth mentioning that we develop some results about the existence of the solution through fixed point theory. After investigating the existence results, we also develop a suitable technique with the help of Laplace transform coupled with Adomain decomposition in order to obtain the approximate solutions for the underlying model. Here, it should be kept in mind that we study the proposed model subject to variable coefficients. The results obtained via the aforesaid techniques are illustrated graphically via Matlab-16 corresponding to different fractional order by taking two cases.Reviewers list: Prof. Dumitru Baleanu (Cancaya University Ankara Turkey), Email: dumitru@cankaya.edu.tr, Dr. Anwar Zeb (COMSAT, University Pakistan), Email: anwar@cuiatd.edu.pk, Prof. J. F. Gómez-Aguilar (CONACyT-Tecnológico Nacional de México/CENIDET. Interior Internado Palmira S/N, Col. Palmira, C. P. 62490, Cuernavaca, Morelos, México), Email: jgomez@cenidet.edu.mx.

Keywords: Fixed Point Theory; Lotka–Volterra Model; Decomposition Techniques; Numerical Solutions (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:01:n:s0218348x21500018

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DOI: 10.1142/S0218348X21500018

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