There is considerable evidence to support the theory that for some species there is a minimum m

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There is considerable evidence to support the theory that for some species there is a minimum m population such that the species will become extinct if the size of the population falls below m. This condition can be incorporated into the logistic equation by introducing the factor (1 - m / p). Thus the modified logistic model is given by the differential equation
dP / dt = kP(1 P / M)(1 - m/P)
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