Population curve and calculations

In summary, a population curve is a graphical representation of changes in population size over time. It is calculated by dividing the total population size by the time period in which the data was collected. The shape of the curve can be influenced by factors such as birth and death rates, immigration, and emigration, as well as natural disasters and human activities. Population curves can be used to predict future population trends, but they have limitations, including being based on past data and not accounting for unexpected events or changes in environmental and social conditions.
  • #1
shinobiazra
5
0
Suppose rabbit populations grow exponentially with a growth rate of 20% per year. If P(t) is the population at any time t and 1000 is the initial (t=0) population of rabbits, what is the population of rabbits in 10 years?
Use the DE model: P ' = kP with k = .1 and P(0) = 1000.

Plz help me
 
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  • #2
Welcome to PF!

Hi shinobiazra! Welcome to PF! :wink:
shinobiazra said:
Use the DE model: P ' = kP with k = .1 and P(0) = 1000.

The equation is dP/dt = 0.1 P …

what is the general solution to this equation? :smile:
 

Related to Population curve and calculations

1. What is a population curve?

A population curve is a graphical representation of the changes in the size of a population over time. It usually shows an increase in population size followed by a plateau or decline.

2. How is the population curve calculated?

The population curve is typically calculated by dividing the total population size by the time period in which the data was collected. For example, if a population of 100 individuals was recorded over a period of 10 years, the population curve would be calculated as 100/10 = 10 individuals per year.

3. What factors can affect the shape of a population curve?

Several factors can affect the shape of a population curve, including birth rate, death rate, immigration, and emigration. Other factors such as natural disasters, disease outbreaks, and human activities can also impact population size and the shape of the curve.

4. How can population curves be used to predict future population trends?

Population curves can provide valuable insights into future population trends by highlighting patterns and changes in population size over time. By analyzing past population curves and considering factors such as birth and death rates, scientists can make predictions about future population growth or decline.

5. What are some limitations of using population curves?

One limitation of using population curves is that they are based on past data and assumptions about future trends, which may not always accurately predict actual population changes. Additionally, population curves do not take into account unexpected events or changes in environmental or social conditions that can significantly impact population size.

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