Analysis and behavior control of a modified singular prey-predator model

摘要

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. (C) 2019 European Control Association. Published by Elsevier Ltd. All rights reserved.