Stability analysis of a predation system with fear effect and Holling-Ⅳ type functional response
This paper considers the stability of a predator-prey system with fear effect and Holling-Ⅳtype functional response.By using linearization system,the types and stability of the system equilibrium points were analyzed,the existence and stability conditions of the positive equilibrium point under fear effect were provided.Then,the theoretical results are numerically validated using the MATLAB software package.The results indicate that fear effect can influence the types and stability of system equilibrium points.
predator-prey systemfear effectHolling-Ⅳ type functional responsestability