BIOL 308 Lecture Notes - Lecture 8: Ecological Niche, Resource Consumption, Interspecific Competition
5 Mar 2018
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The(cid:396)e is a (cid:862)hat(cid:863) as a (cid:449)a(cid:455) to i(cid:374)di(cid:272)ate that it is at e(cid:395)uili(cid:271)(cid:396)iu(cid:373). From the first line we derive n1 = 0. If you continue the derivation you get n1 = k1 n2. Same for the second column but the solutions are n2 = 0 and n2 = k2 n1. Plot n1 as a function of n2. (0-growth isocline of n1 : the combination of k1 and n2 that lead to 0 growth rate of n1. ) You need to graph the two isoclines to see if they have a matching equilibrium. Phase space: the space depicting all combinations of the interaction population densities. The intercept with the nx axis is the carrying capacity kx. Negative growth above the isocline and positive growth below the isocline. For the system to be in equilibrium, we need both species to be on their isocline, within the interior space.
