Existence theory and approximate solution to prey–predator coupled system involving nonsingular kernel type derivative

Advances in Difference Equations

Manar A. Alqudah¹  Qasem Al-Mdallal²  Thabet Abdeljawad³  Fahd Jarad⁴  Kamal Shah⁵ 

[1] Department of Mathematical Sciences, Faculty of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, 11671, Riyadh, Saudi Arabia;Department of Mathematical Sciences, UAE University, P.O. Box 15551, Al Ain, United Arab Emirates;Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia;Department of Medical Research, China Medical University, 40402, Taichung, Taiwan;Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan;Department of Mathematics, Cankaya University, Ankara, Turkey;Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan;

关键词: Prey–predator system;    Existence theory;    Laplace transform coupled with Adomian method;    26A33;    34A07;    93A30;   

DOI  :  10.1186/s13662-020-02970-w

来源: Springer

【 摘 要 】

This manuscript considers a nonlinear coupled system under nonsingular kernel type derivative. The considered problem is investigated from two aspects including existence theory and approximate analytical solution. For the concerned qualitative theory, some fixed point results are used. While for approximate solution, the Laplace transform coupled with Adomian method is applied. Finally, by a pertinent example of prey–predator system, we support our results. Some graphical presentations are given using Matlab.

【 授权许可】

CC BY