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Lotka-Volterra Equation and Their Periodic Solutions

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We introduce the Lotka-Volterra system of differential equations. These equations model population growths of predators and prey in an environment where both exist. There is an equilibrium for which linearization fails, but we can none the less find closed trajectories around this critical point making it a center.
#mikethemathematician, #mikedabkowski, #profdabkowski
#mikethemathematician, #mikedabkowski, #profdabkowski
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