Comparison of Predator-Prey Interaction Without and With Non-Linear Migration

2 Comparison of Predator-Prey Interaction Without and With Non-Linear Migration 

As far as the singular points and their stability are concerned, standard analytical procedures will be applied. Evidently, the singular points (Xj, y, Zj) of the system are solutions to the three transcendental equations  

The linearized equations of motion (4.137) around a singular point Ps(Xs, ys, Zs) are then 

Three particular cases will be analysed further  

A) the pure Volterra-Lotka model by neglecting migration and saturation of in the refuge habitat 

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