In the logistic model for population growth, dP/dt=P(8-2P), the carrying capacity of the population P(t) is:
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In the logistic model for population growth, dP/dt=P(8-2P), the carrying capacity of the population P(t) is:
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- To the nearest whole number, what is the initial value of a population modeled by the logistic equation P(t)=1751+6.995e0.68t ? What is the carrying capacity?What is the y -intercept on the graph of the logistic model given in the previous exercise?What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
- The population of a culture of bacteria is modeled by the logistic equation P(t)=14,2501+29e0.62t where t is inTable 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?What is the y -intercept of the logistic growth model y=c1+aerx ? Show the steps for calculation. What does this point tell us about the population?
