ZG Control of Populations of Lotka-Volterra Equations Using Interaction Coefficients as Inputs

Lotka-Volterra equations describe the population relationship between two species, i.e., predator and prey. In many circumstances, it is necessary to introduce a control method into such a predator-prey system. Different from traditional methods, by applying Zhang-gradient (ZG) method and using interaction coefficients of Lotka-Volterra equations as inputs, the population control problem of the predator-prey system is solved in this paper. Besides, various coefficient controllers according to the ZG method for different control purposes based on the predator-prey system are designed. In addition, simulation results substantiate the effectiveness of the ZG coefficient controllers.