Nonlinear observer design for population biology systems

Abstract

This work investigates the nonlinear observer design for Lotka–Volterra population models. Explicitly, Sundarapandian’s theorem (2002) for local exponential observer design for nonlinear systems is used to solve the problem of observer design for Lotka–Volterra systems. Predator-prey population models for two species and three species are studied and nonlinear observers for these multi-species models are constructed by applying Sundarapandian’s theorem (2002) and using only the plant dynamics equations of the Lotka–Volterramodels and the prey population sizes as the output functions. Numerical examples andMATLAB simulations are provided to demonstrate the nonlinear observer design for the multi-species Lotka–Volterra models.