Nonlinear observer design for Lotka-Volterra systems

This paper investigates the nonlinear observer design for Lotka-Volterra models. Explicitly, Sundarapandian´s theorem (2002) for observer design for nonlinear systems is used to solve the problem of observer design for Lotka-Volterra systems. Two species and three species predator-prey models are studied and nonlinear observers for these Lotka-Volterra models are constructed by applying Sundarapandian´s theorem (2002) and using only the plant dynamics equations of the Lotka-Volterra models and the prey population sizes as the output functions. Numerical examples and simulations are provided to illustrate the nonlinear observers for two-species and three-species Lotka-Volterra models.