STABILITY ANALYSIS AND FLIP BIFURCATION OF A DISCRETE-TIME PREY-PREDATOR MODEL WITH PREDATOR IMMIGRA

The goal of this research is to look at a discrete-time prey-predator model with predator immigration.

Methodology: In Mapple, the model was mathematically analysed and simulated.

The provided model's complex dynamical behaviour has been investigated. The presence of a coexistence positive fixed point and its stability have been examined. Furthermore, it has been demonstrated that the model experiences Flip bifurcation using bifurcation theory. In addition, the direction of Flip bifurcation has been specified. To back up the analytical finding, certain numerical simulations were provided, including bifurcation diagrams, phase portraits, and maximum Lyapunov exponents of the model. The presence of chaotic activity in the system was confirmed by computing the maximal Lyapunov exponents.

Conclusion: The model was developed, analysed, and simulated successfully, yielding findings that were consistent with the theory.

Please see the link :- https://www.ikprress.org/index.php/AJOMCOR/article/view/5264