BIOLOGY 152 Lecture Notes - Lecture 32: Exponential Growth, Housefly, Logistic Function

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In one year, 1500 births and 500 deaths. It is more useful to think of this in terms of rate. In our previous example: the per capita birth rate: 1,500 births/10,000 people = 0. 15 births/person/year: the per capita death rate: 500 deaths/10,000 people = 0. 05 deaths/person/year: defining per capita growth rate r = b d. In our example r = 0. 15 0. 05 = 0. 1. This means that 0. 1 person per capita per year or 10% per year: when r > 0, the population is growing, when r < 0, population is shrinking, when r = 0, the population is stable. In our example: since we known r = 0. 1, thus . In the real world, populations do not maintain exponential growth. In our model, the amount of time required for an exponentially growing population to increase from 2 to 2000 individuals is determined by: a. How quickly the value of r increases: b.

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