Assume the rate of increase of the population of insects x(t) is proportional to the amount of population. Assume also that the death rate is given by x(t)(1 + sin(t)), which takes into account the seasonal fluctuations of the insect population. Write down the equation describing the insect population
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This can be represented as: \[\frac{dx}{dt} = \lambda x(t)\] where \(\lambda\) is the proportionality constant. ** Show more…
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