A Mathematical Model to Control the Prevalence of a Directly and Indirectly Transmitted Disease

In this paper, a mathematical model to describe the spread of an infectious disease on farm is developed. To analyze evolution infection, direct transmission from infected individuals and indirect bacteria accumulated in enclosure are considered. A threshold value population obtained assure extinction disease. When size exceeded, two control procedures apply at each time proposed. For them, maximum number steps without reducing prevalence obtained. addition, criterion choose between both established. Finally, results numerically simulated for hypothetical outbreak farm.