Consider a population of 10 million cells. Given the per-capita birth rate of 0.002 (per unit time)

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Consider a population of 10 million cells. Given the per-capita birth rate of 0.002 (per unit time) and the percapita death rate of 0.002 (per unit time), the expected number of cells after 10 generations is $\_\_\_\_$.

Accepted Answer

Sol. [Key Concept: Population growth from per-capita birth/death rates] The per-capita birth rate of bacteria is 0.002.The per-capita death rate of bacteria is 0.002.The population dynamic equation is$${\frac{dN}{dt} = (b - d)N } {Since\ r = (b - d) = 0.002 - 0.002 = 0 } {\frac{dN}{dt} = 0 } {So,\ the\ population\ remains\ constant\ at\ all\ times.\ Thus,\ even\ after\ 10\ generations,\ the\ expected\ number\ of\ cells\ will\ be\ 10\ million.}$$

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