Here's a sneak preview – don't worry if you don't understand all of it yet: We'll explore exponential growth and logistic growth in more detail below.

Logistic growth occurs when a population grows exponentially at first, but then slows. As the population’s growth slows, its size begins to level off. Logistic growth usually occurs as …

What we'll see in the next video is that P.F. Verhulst actually came up with a very good one differential equation and solution to the differential equation that does model a lot better, that …

Exponential growth presumes infinite resources, resulting in unrestrained population expansion. Conversely, logistic growth considers resource limitations and a carrying capacity (K) - the …

The logistic differential equation dN/dt=rN (1-N/K) describes the situation where a population grows proportionally to its size, but stops growing when it reaches the size of K.

Is it possible to find the fastest growth by finding the derivative of the logistic equation, and then locating the inflection point?

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Video transcript -Let's now attempt to find a solution for the logistic differential equation. And we already found some constant solutions, we can think through that a little bit just as a little bit of …

The general logistic function is N (t)= (N₀K)/ (N₀+ (K-N₀)e⁻ʳᵗ). In this video, we solve a real-world word problem about logistic growth.

Exponential growth has time in the exponent, causing a rapid increase in population size. In real-world situations, logistic growth is more accurate due to environmental constraints. Logistic …