You notice your cat itching-fleas! She has a rapidly expanding, continuously gro

Question

You notice your cat itching-fleas! She has a rapidly expanding, continuously growing population of fleas in her fur. The growth rate for this population is 0.8 individuals per day. If she has 32 lice today, how many will she have tomorrow? If an annual plant (i.e., non-overlapping generations) is producing 1.9 successful seedlings per adult plant every year, what would the ratio of population sires between successive two years (lambda) be? How big will a population be in 3 years 4 it is currently 3 individuals and is growing at the rate above? How big would the original population be after 19 years? If a shrub population of 3 individuals grows continuously year-round, at a rate of 0.9 individuals/individual/year, for 3 years, how big will it be?

Explanation / Answer

1. For a rapidly growing and continiously expanding population of fleas , exponential growth equation will be used

dN/dt = (1+r)N

Where r =0.8

1+r is the growth factor

N = 32

SO the no. Of fleas after 1 day = 1.8 ×32 = 57.6

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