Abstract
This paper is concerned with a three species food chain system with the Beddington–DeAngelis functional response and two delays. The local stability of the positive equilibrium and the existence of periodic solutions via Hopf bifurcation with respect to both delays at the positive equilibrium are established by analyzing the distribution of the roots of the associated characteristic equation. Further, the properties of the bifurcating periodic solutions such as the direction and the stability are determined by using the normal form method and center manifold argument. Numerical simulations are presented for supporting the analytical 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 callDisclaimer: 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.
