Rosenzweig-MacArthur model

The Rosenzweig-MacArthur model describes how predators and their prey interact and affect each other's populations. It extends simple predator-prey models by considering how predators' feeding rates change with prey abundance and how prey grow over time. When prey are plentiful, predator populations increase, but if prey become too abundant, predators can overconsume and cause prey populations to decline, leading to cycles of highs and lows. The model helps explain population dynamics found in nature and shows how predator efficiency and prey growth rates influence stability, sometimes causing chaotic fluctuations or stable coexistence.