BP neural network control of a host-parasitoid model with Hassell growth function

Chaos and its control in a host-parasitoid model with Hassell growth function are studied. The existence of chaotic attractors is verified by plotting Lyapunov exponents map and bifurcation diagram. The chaotic control problem is studied by using the extended BP neural network chaotic control method. Based on the BP neural network control principle, a controller is designed to stabilize the chaotic system to the fixed point and periodic tracks. The effectiveness of the designed controller is verified by Matlab numerical simulation, which provides a theoretical basis for eliminating population chaos, maintaining ecological stability and biodiversity, and provides a theoretical reference for the development of infectious disease model based on the parasite model.