• Corpus ID: 16212027

Lotka-Volterra Population Biology Models with Negative Feedback and their Ecological Monitoring

@inproceedings{Vaidyanathan2015LotkaVolterraPB,
  title={Lotka-Volterra Population Biology Models with Negative Feedback and their Ecological Monitoring},
  author={Sundarapandian Vaidyanathan},
  year={2015}
}

• S. Vaidyanathan
• Published 2015
• Mathematics, Environmental Science

Lotka-Volterra population biology models are important models that describe the interaction between various biological species considered as predator-prey system. This work describes a Lotka-Volterra population biology model with negative feedback. We show that for this biological model, the predator and prey species have stable coexistence. Then we shall propose ecological monitoring of the population biology model by constructing a nonlinear exponential observer for the population biology model under study. The nonlinear observer design for the population biology model is constructed by applying Sundarapandian's theorem (2002) and using only the dynamics of the Lotka-Volterra population biology model and the prey population size as the output function. Numerical example and MATLAB simulations are given to illustrate the ecological monitoring or the nonlinear observer design for the two-species Lotka-