Abstract
Cockroaches are among the most common pests in many houses and other food processing areas. Their co-habitation with humans have raised public health concerns and posed serious risks to humans health, as they are suspected to play an important role in the transmission of different intestinal diseases including diarrhoea, dysentery, cholera, leprosy plague and typhoid fever. In this article, we present a mathematical model that depicts foodborne disease transmission to humans by cockroaches to incorporate control interventions such as insecticides use and regular environmental sanitation. The mathematical and numerical analyses are conducted to investigate the impact of these control interventions when considered as a single or combined strategies. The results reveal the efficacy level of the insecticides beyond which a total eradication is possible. Use of baits and trapping devices intervention is also explored and revealed to be the best.
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