Figure 2. Bifurcation diagram.

(a), Stationary solutions of system (1)-(2) for k^(u) = 4. Green curves indicate stable solutions while magenta curves correspond to unstable solutions of the linearized system. Red point indicates the transcritical bifurcation where the uniform steady state (u₀,v₀) = (5,10) becomes unstable. Blue point corresponds to a saddle-node bifurcation of a solution (u,v) which originates from the transcritical bifurcation. (b), Transcritical bifurcation (red curve) given by equation (3), is shown together with the continuation of the saddle-node bifurcation (blue curve) in the plane k^(v)-k^(u).