# BIOL208 Lecture Notes - Isocline, Logistic Function, Directional Selection

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11 Nov 2011
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## Document Summary

Competition: lotka-volterra model of competition- realtion to logistic growth. K-n1-n2k n1= old population n2= new additions aka k-(n1+n2)k. Due to the new individuals in this new competition, its addition of intraspecies competition. If theres more than one species this doesn"t apply. This implies how much of a species is equated to the other eg. 1/100 of and elephant=mouse so then n2 would be the number of added individuals x . 12= effect 2 has on species 1. 21= effect 1 has on species 2. Population growth will stop when n1 = k1 12n2 h. On the graph, whichever species isocline of zero population growth is on the top will win. If they cross and come towards it, the intercept=coexist but if they go away from the center they both win. If both species are at the center theres an unstable equilibrium and if one starts winning, it will ust keep on winning.