Differential Equations Quiz
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FOUNDATIONS & QUALITATIVE ANALYSIS
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Consider the equation dydt=ry(1−yK)−hy\frac{dy}{dt} = ry\left(1 - \frac{y}{K}\right) - hy where r,K,h>0r, K, h > 0 represent growth rate, carrying capacity, and harvesting rate respectively. For what relationship between the parameters does the system exhibit a transcritical bifurcation?
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