In the absence of wolves, the rabbit population is always 5000

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Presentation transcript:

In the absence of wolves, the rabbit population is always 5000 We used Lotka-Volterra equations to model populations of rabbits and wolves. Let's modify those equations as follows: {image} , {image} . What is the significance for the equilibrium solution W=64, R=1000? In the absence of wolves, the rabbit population is always 5000 Zero populations Both populations are stable 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50