“…populations through the use of insecticideimpregnated targets (Vale et al, 1988), insecticide-treated cattle, (Shereni, 1990) and odour-baited traps (Dransfield et a\., 1990) have suggested the possibility of achieving practical levels of trypanosomiasis control without the necessity of eradicating tsetse flies. These new techniques may reduce disease incidence in most areas where mechanical transmission of trypanosomes by biting flies is not a significant factor (Wells, 1972). Similarly, on a theoretical basis, eradication of disease should be possible at some lower threshold of Glossina density, depending on the transmission dynamics of the hostparasite-vector system (Rogers, 1988 The quantification of the relationship between Glossina densities and infection rates in livestock is encumbered by many practical (Snow & Tarimo, 1983;Rogers, 1985) and theoretical considerations (Milligan & Baker, 1988;Rogers, 1988;Milligan, 1990).…”