A GUMBORO-SALMONELLA CO-INFECTION MATHEMATICAL MODEL WITH OPTIMAL CONTROL

Poultry production contributes immensely to the economic growth of a country. For instance in Kenya, 20tonnes of poultry meat worth 3.5 billion kenya shillings and 1.3 billion eggs worth 9.7 billion Kenya Shillingscome from this sector. However, the sector is greatly threatened by poultry diseases among them, Gum-boro(IBD) and Salmonella as inadequate knowledge exists of optimal control strategies for various poultryco-infections. In this research, a Gumboro-Salmonella co-infection mathematical model with optimal controlis developed using a system of ODEs to perform an optimal control analysis. The analysis was done by for-mulating an optimal control problem and using Pontryagin’s maximum principle to solve it. The Numericalsimulation results showed that the best Gumboro-Salmonella co-infection control strategy involved combiningall the interventions