Abstract:The center manifold is an invariant manifold that plays a crucial role in the
bifurcation analysis of dynamical systems. The center manifold existence
theorem assures the local existence of an invariant submanifold of the state
space of a dynamical system around a non-hyperbolic equilibrium point.
Center manifold theory is essential in the reduction of different
bifurcation scenarios to their normal forms. Our study focuses on a
predator-prey interactive system with density-dependent growth i… Show more
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