
Lotka-Volterra model
The Lotka-Volterra model describes how two species, like predators and prey, influence each other's populations over time. When prey numbers increase, predator populations grow because food is abundant. As predators become more numerous, they reduce prey populations. This decline in prey then causes predator numbers to decrease, since food becomes scarce. With fewer predators, prey populations can recover, repeating the cycle. The model uses mathematical equations to predict these ebb and flow patterns, helping us understand ecological interactions and population dynamics in natural systems.