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, theJacobian matrix eigenvalues' modulus exceeds one. The viability and efficiencyof this stabilizing approach are finally shown