Fore the competing speces population medel dx/dt= 2x(1-x/2) - xy , dy/dt= 3y(1-y/3) -2xy at studied in this section, we shaved that the equillibreidem Point (1) is a saddle (a) find the linearized system neare each of the Othere equilibrelem points . © Classify each equillibrecen pocht (as ewithere a source , asink, a saddle....) (©) Sketch the phase Doretreat of each linearked system. (d) Give a brief description of the Phase Portrait near each equillibrulum point of the non linear system.
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