ZOO 4400/5400 Population Ecology

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Interspecific competiton -- paired logistic equations
stable coexistence case

Embedded QuickTime Movie
Click on the image below to start the "movie".  A control bar will appear below the graph; the various buttons will allow you to stop and start it.

Note the curved trajectory -- the point moves toward the nearest isocline, then curves and crawls along it toward the stable equilibrium point.  Note also, that the rate of movement is not constant (we are dealing with the logistic; its rate changes as a function of population size).

Parameters for this animation:  r1 = r2 = 0.5, K1K2 = 1,000, g12g21 = 0.67.

Go to animation of unstable case

Go to animation of stable case with straight trajectory