Abstract

We consider a Leslie-Gower model with the Beddington-DeAngelis functional response, Allee effect, and Caputo fractional order derivative. We first establish the existence, uniqueness, non-negativity, and boundedness of solutions to confirm the biological feasibility of the model. Moreover, the Lyapunov direct method including the generalized LaSalle invariance principle is applied to investigate the global stability of the prey-free point and the co-existence point. By using the Adams-Bashfort-Moulton for the fractional order system, we perform some numerical simulations to justify the theoretical results.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.