The growth rate r of a particular organism is affected by both the availability of food

Chapter 10, Problem 15

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The growth rate r of a particular organism is affected by both the availability of food and the number of competitors for the food source. Denote the amount of food available at time t by F(t) and the number of competitors at time t by N(t). The growth rate r can then be thought of as a function of the two time-dependent variables F(t) and N(t). Assume that the growth rate is an increasing function of the availability of food and a decreasing function of the number of competitors. How is the growth rate r affected if the availability of food decreases over time while the number of competitors increases?

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