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Adaptive Control Based Harvesting Strategy for a Predator-Prey Dynamical System.

Moitri Sen1, Ashutosh Simha2, Soumyendu Raha2

  • 1Department of Mathematics, NIT Patna, Patna, Bihar, 800005, India. moitri300784@gmail.com.

Acta Biotheoretica
|April 25, 2018
PubMed
Summary

This study introduces an adaptive control strategy for predator-prey systems facing uncertainties and disturbances. The method ensures stable population dynamics and effective harvesting, even with unknown parameters and external interference.

Keywords:
Adaptive controlHarvestingParameter learningPrey–predatorRobust control

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Area of Science:

  • Ecology
  • Control Theory
  • Dynamical Systems

Background:

  • Predator-prey models are fundamental in ecology.
  • Parametric uncertainties and disturbances complicate population dynamics control.
  • Maintaining stable populations and sustainable harvesting is crucial.

Purpose of the Study:

  • To design a robust harvesting control strategy for predator-prey systems.
  • To achieve asymptotic stabilization of population dynamics at a positive operating point.
  • To ensure a steady-state harvesting rate despite uncertainties and disturbances.

Main Methods:

  • Utilized a backstepping control law based on Lyapunov theory.
  • Developed an adaptive control strategy to handle unknown parameters.
  • Incorporated a switching component for robustness against bounded disturbances.

Main Results:

  • The proposed adaptive control strategy ensures asymptotic stability.
  • Achieved exact parameter learning in disturbance-free scenarios.
  • Demonstrated learning with bounded error in the presence of disturbances.

Conclusions:

  • The adaptive control strategy effectively stabilizes predator-prey dynamics.
  • The approach robustly handles parametric uncertainties and external disturbances.
  • Validated through simulations involving predator death rate uncertainty and bounded disturbances.