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6. A population of fish is living in an environment with limited resources. This environment can only support the population if it contains no more

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6. A population of fish is living in an environment with limited resources. This environment can only support the population if it contains no more than M fish (otherwise some fish would starve due to an inadequate supply of food, etc.). There is considerable evidence to support the theory that, for some fish species, there is a minimum population m such that the species will become extinct if the size of the population falls below m. Such a population can be modelled using a modified logistic equation: dP dt - = KP 3 (a) Use the differential equation to show that any solution is increasing if m

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