BIOL 1030 Lecture Notes - Lecture 26: Isocline, Paramecium, Exponential Growth

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Biol 1030 lecture 26 competition between species: To update the logistic model: once for species 1: dn1/dt = r1n1[(k1 n1)/(k1), and again, for species 2: dn2/dt = r2n2[(k2 n2)/(k2), these are the population growth we would expect for each species by itself. If an individual of species two is equal" to of an individual of species 1, then a = . N2 = 400: then the amount of resources left" is: 1000 500 - (400 4) = 400: there is still room" for 400 more of species 1. If dn1/dt = 0 then, n1 = k1 an2: n1 comes to equilibrium when it reaches k1, minus the capacity used up by species 2, this gives a line called the isocline. In between the two isoclines one population keeps growing while the other declines: when both species are abundant both populations decline, when both populations are small then both populations grow.

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