Pattern formation in a two-dimensional diffusive predator model - Holling II type prey
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In this paper a numerical method to observe the behavior and distribution in the interaction of predator and prey on a two-dimensional diffusion model with logistic growth for dams and functional predation Holling type II occurs. By performing some perturbations on the model parameters, determining appropriate boundary conditions, and establishing time intervals for method convergence, the model solutions exhibit various patterns. Given that the mathematical model without diffusion presents a limit cycle, an equilibrium that can be locally a node or a stable spiral, the numerical solutions of the diffusive model reflect these behaviors.
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