Questions tagged [population-dynamics]

For questions related to mathematical models to study the size and age composition of populations as dynamical systems.

Population dynamics An excerpt from Wikipedia: Population dynamics has traditionally been the dominant branch of mathematical biology, which has a history of more than 220 years, although over the last century the scope of mathematical biology has greatly expanded.

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A population growth model that exceeds carrying capacity and then falls rapidly

I have tried exploring different periodic functions combined with exponential growth rates, however, all my models fail to overshoot the carrying capacity. I have also examined piece-wise functions that could work, however something that is more…