Open AccessDynamics of discrete predator- prey system with fear effect and density dependent birth rate of the prey species
Author(s) -
Dhiman Mukherjee
Publication year - 2022
Publication title -
mathematics in applied sciences and engineering
Language(s) - English
Resource type - Journals
ISSN - 2563-1926
DOI - 10.5206/mase/14496
Subject(s) - predation , chaotic , bifurcation , control theory (sociology) , fixed point , predator , mathematics , stability (learning theory) , dynamics (music) , statistical physics , physics , biology , ecology , mathematical analysis , computer science , control (management) , nonlinear system , quantum mechanics , artificial intelligence , machine learning , acoustics
This paper analyses a discrete predator-prey system with fear effect and density dependent birth rate of the prey species. The fixed points of the system are determined and their stability is examined. The criterion for Neimark-Sacker bifurcation and flip bifurcation is developed. The chaotic orbit at an unstable fixed point can be stabilized by applying the state feedback control method. Numerically, we illustrate our analytical findings and observe the complex behaviour of the system that leads to stable state to chaotic one.