Bifurcation delay controller design method based on improved predator and prey model,

Abstract

The invention discloses a bifurcation delay controller design method based on an improved predator and prey model, and the method comprises the following steps: performing improving on the basis of a conventional predator and prey model, building a partial differential predator and prey model containing fear time lag and diffusion, and obtaining balance point information; applying a bifurcation delay controller to the uncontrolled partial differential predator predator model containing fear time lag and diffusion, and adding the bifurcation delay controller at a balance point to obtain a predator predator and prey model added with the bifurcation delay controller; linearizing the predator and prey model at the balance point, and obtaining a linearized characteristic equation of the controlled network; selecting time delay, performing stability analysis and bifurcation analysis on the linearized characteristic equation of the controlled network, and selecting proper controller parameters, so that the network is locally stable at the balance point accessory; according to the method, the problem of low fitting degree between the traditional predator predator model and the actual population quantity change is solved, and the accuracy of the model is improved.

Description

technical field [0001] The invention relates to the technical field of controllers, in particular to a design method for a bifurcation delay controller based on an improved predator-prey model. Background technique [0002] Leslie first proposed a model of predation and prey in 1958, which started an upsurge in the study of ecological models. In the actual ecological environment, different location factors and the fear effect of the prey have a significant impact on the predation behavior. Thus, the fear factor and spatial effects of dispersal are essential to model predator-prey. The time delay often leads to a sudden change in the dynamic behavior of the system, making the system unstable. Therefore, the effect of time lag must be considered when exploring the performance of kinetic models. The predator-prey model with dispersal and fear time lag can better fit the population change in the actual ecological environment. This patent introduces fear time lag and reaction...

AI Technical Summary

Problems solved by technology

However, the previous prey-predation model has the problem that it does not fit well with the actual reproduction law of nature, and the response law is inaccurate.

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