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Insecticides are essential to growing crops in the dense mono-culture that is necessary to produce enough food to feed the expanding global population. Evolution of insecticide resistance is, however, an enduring challenge. The more insecticide applied the faster resistance evolves. Suppose that the current proportion of resistant beetles is p then the proportion of the population that will be resistant in the next year is given by the following classic equation from population genetics: P2 = p(1+s) 1+sp where s is the selective benefit (s> 0) of the resistant beetles. A) Find the derivative p ds . Poll 3: Increasing s leads to- resistant beetles? A. more B. fewer

Insecticides are essential to growing crops in the dense mono-culture that is necessary to produce enough food to feed the expanding global population. Evolution of insecticide resistance is, however, an enduring challenge. The more insecticide applied the faster resistance evolves. Suppose that the current proportion of resistant beetles is p then the proportion of the population that will be resistant in the next year is given by the following classic equation from population genetics: P2 = p(1+s) 1+sp where s is the selective benefit (s> 0) of the resistant beetles. A) Find the derivative p ds . Poll 3: Increasing s leads to- resistant beetles? A. more B. fewer

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Insecticides are essential to growing crops in the dense mono-culture that is necessary to produce enough food to feed the expanding global population. Evolution of insecticide resistance is, however, an enduring challenge. The more insecticide applied the faster resistance evolves. Suppose that the current proportion of resistant beetles is p then the proportion of the population that will be resistant in the next year is given by the following classic equation from population genetics: p(1+s) 1+sp where s is the selective benefit (s > 0) of the resistant beetles. P2 - A) Find the derivative dp2. ds Poll 3: Increasing s leads resistant beetles? to A. more B. fewer
Transcribed Image Text:Insecticides are essential to growing crops in the dense mono-culture that is necessary to produce enough food to feed the expanding global population. Evolution of insecticide resistance is, however, an enduring challenge. The more insecticide applied the faster resistance evolves. Suppose that the current proportion of resistant beetles is p then the proportion of the population that will be resistant in the next year is given by the following classic equation from population genetics: p(1+s) 1+sp where s is the selective benefit (s > 0) of the resistant beetles. P2 - A) Find the derivative dp2. ds Poll 3: Increasing s leads resistant beetles? to A. more B. fewer
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