Vert Bio Population Dynamics

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Last updated 12:37 AM on 8/25/26
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13 Terms

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Nt

population size at time t

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B

number of births

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D

number of deaths

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Population equation at t+1

Nt+1=Nt+B-D

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Change in N

DN=(B-D)

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Malthusian exponential growth equation

dN/dt = rN

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Population goes extinct

r<0

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Population size remains constant

r = 0

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Population increases exponentially

r>0

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Variable K

Carrying capacity of the environment

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Logistic population growth equation

dN/dt = rN(1-(N/k))

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Lotka-Volterra Competition Model

dN/dt= r1N1((k1-N1-α12N2)/K)

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Competition coefficient

α (represents effects of cocompetitor on the other species)