Abstract
The dynamical behavior of the traveling wave front solutions of the delayed Fisher-KPP equation is studied by employing the theory of functional differential equation. It is found that, when the delay term τ comes through a threshold, one equilibrium point is always unstable and there exists a periodic solution near the other equilibrium point in the traveling wave equation. By using the theory of center manifold and normal form, the stability of the bifurcating periodic solution, which corresponds to the periodic traveling wave solution of the original equation, is obtained. Finally, some numerical simulations are also given to illustrate our results of theoretical analysis.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.