Abstract
In this paper, a harvested singular prey–predator model is proposed based on governing differential equations, in addition to an algebraic equation. After comparing other nonsingular models with the proposed singular model, its advantages are explained. The model is analyzed and its stability is studied. This model has singularity induced bifurcation (SIB) points causing various complexities in the behavior of the model. We suggest a state feedback controller, which eliminates one of the SIB points, to stabilize the singular model system around an interior equilibrium. Then, the local stability of the system is studied by the Lyapunov nonlinear method. Finally, the results are numerically simulated to verify our analytical approach.
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.