A population of flour beetles in a laboratory culture is observed to be growing according to the Verhulst-Pearl logistic growth model. If the carrying capacity ( K ) of the habitat is 1000 beetles and the current population density ( N ) has reached exactly 1000, what will be the current population growth rate ( dN dt )?

Step-by-step solution

According to the Verhulst-Pearl logistic growth equation, the population growth rate is given by dN dt = rN ( K-N K ) . Here, the carrying capacity ( K ) is 1000 and the current population density ( N ) is also 1000. Since N = K , the term (K-N) becomes (1000 - 1000) = 0 . Therefore, the entire expression evaluates to zero. This represents the asymptote phase of the logistic growth curve where the population size stabilizes and further growth stops. Options suggesting a maximum or 1000r growth rate incorrectly igno