Numerical Stabilization for Prey-Predator Model

Abstract

The dynamical system is a notion that is used to explain how many events behave
in our everyday lives. Both linear and nonlinear varieties are available. Stability
and chaos, two fundamental characteristics that are further divided into discrete
and continuous categories for models showing chaotic behavior and occasionally
requiring stabilization and synchronization, define the latter. For this, there are
numerous strategies. In this study, the prey-predator model's chaotic behavior is
stabilized without the addition of any control factors. This method is thought to
be effective for models with difficult-to-find analytical solutions. Also, the
Jacobian matrix eigenvalues' modulus exceeds one. The viability and efficiency
of this stabilizing approach are finally shown