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The equation of Verhulst-Pearl logistic growth is dN/dt = rN((K − N)/K). From this equation, K indicates:
In dN/dt = rN(1 - N/K), N is population density, r is intrinsic rate of natural increase, and K is the carrying capacity of the environment.
No population of any organism in nature has at its disposal unlimited resources to permit exponential growth. This leads to competition between individuals for limited resources. Eventually, the fittest individual survives and reproduces.
Verhulst-Pearl Logistic Growth is described by: where is population density at time , is the intrinsic rate of natural increase, and represents carrying capacity—the upper ecological limit of population size supported by the habitat without degradation.
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K represents the carrying capacity: the maximum population size that a given environment can sustain indefinitely.
Environmental resistance is conceptually represented by the term (K - N)/K, not by the constant K alone.
The intrinsic rate of natural increase is denoted by r.
Biotic potential relates to r under non-limiting conditions.
Confusing the capacity constant K with the term (K - N)/K which represents environmental resistance.
"A population growing in a habitat with limited resources shows initially a lag phase, followed by phases of acceleration and deceleration and finally an asymptote, when the population density reaches the carrying capacity (K)."
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