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Logistic Population Model in Calculus by Junior Alexis Julon Ventura is a document available to read on EtoBox.
What is Logistic Population Model in Calculus about?
The document summarizes the logistic population model. The logistic model assumes a population y will increase when below a carrying capacity K but decrease when above K. This is modeled by the logistic differential equation dy/dt = ry(1 - y/K), where r is a positive constant. The equation can be solved using separation of variables and partial fractions to obtain the solution y = K/(1 + Ae-rt), which graphs as a sigmoid curve approaching K as its upper limit.
- Author
- Junior Alexis Julon Ventura
- Language
- EN