Abstract
Given a population whose growth pattern is hypothesised to follow that of the simple birth and death process, its dynamics in the presence of sterilised males is examined. It is assumed that the method of sterilisation may have lowered the relative mating competitiveness, survival, and longevity of the treated males and the effect of this on the controlled population dynamics is considered. Two quantities are defined and derived, namely, N(t), the expected number of insects alive at time t, and T, the time to extinction. The probability of extinction within a fixed time interval (0, To) is also derived and used to determine the number of sterile males that would successfully cause extinction.
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