Stability and invariant manifold for a predator-prey model with Allee effect
Stability and invariant manifold for a predator-prey model with Allee effect
Predator-prey models are similar to host-parasite and host-parasitoid models. We investigate the stability and invariant manifolds of a discrete predator-prey model by using center manifold theory which is not addressed in Çelik and Duman (Chaos Solitons Fractals 40:1956-1962, 2009), and Wang et al. (Ecol. Complex. 8:81-85, 2011).