Abstract
This research deals with the derivation and dynamical analysis of a discrete-time evolutionary Ricker population model. The model is built using Evolutionary Game Theory and takes into consideration the effect of immigration. The positive fixed point’s existence and local asymptotic stability are examined. Further, it is shown that the evolutionary model experiences Neimark–Sacker bifurcation (NSB) and period doubling bifurcation (PDB) in a small neighborhood of the positive fixed point under certain conditions. To make the chaotic behavior predictable and stable, three different chaos control strategies are applied. Detailed numerical simulations are carried out to not only verify our theoretical results but also exhibit the rich dynamics of the derived system.
Sign-in/Register to access full text options 
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.
