Stability and bifurcation analysis of three species in Yellowstone Park consisting of prey, predator and competitor and the effects of predator reduction on living species in the ecosystem
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Date
2024-11
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University of New Brunswick
Abstract
The interactions among wolves, deer, and beavers in Yellowstone National Park demonstrate intricate dynamics with implications for population growth and decline. By applying bifurcation theory, we analyze how subtle environmental or population changes can significantly impact ecosystem stability. Wolves, as apex predators, influence deer populations, which, in turn, affect the behaviour and habitat of beavers. Understanding these complex interconnections is crucial for effective ecosystem management and conservation. Through mathematical biology and bifurcation analysis, we gain insights into the coexistence and mutual influence of different species in natural environments. This research sheds light on the intricate relationships that shape ecological communities, emphasizing the importance of studying predator-prey and competitor interactions to comprehend and protect these ecosystems.