Predator-prey dynamics In Chapter 7 we study a model for the population sizes of a

Chapter 3, Problem 42

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Predator-prey dynamics In Chapter 7 we study a model for the population sizes of a predator and its prey species. If ustd and vstd denote the prey and predator population sizes at time t, an equation relating the two is ve2v u e2u c where c and are positive constants. Use logarithmic differentiation to obtain an equation relating the relative (per capita) rate of change of predator (that is, v9yv) to that of prey (that is, u9yu)

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