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• Performing cultures in the laboratory to study Pseudomonas aeruginosa. • Using a SIRI model to study a group of dogs affected by otitis externa in Spain. • Developing codes in Matlab to predict the dynamics of the population. • Providing a powerful tool: antibiotic panel that can be used as empirical treatment. This work discloses an epidemiological mathematical model to predict an empirical treatment for dogs infected by Pseudomonas aeruginosa. This dangerous pathogen is one of the leading causes of multi-resistant infections and can be transmitted from dogs to humans. Numerical simulations and appropriated codes were developed using Matlab software to gather information concerning long-time dynamics of the susceptible, infected and recovered individuals. All data compiled from the mathematical model was used to provide an appropriated antibiotic sensitivity panel for this specific infection. In this study, several variables have been included in this model to predict which treatment should be prescribed in emergency cases, when there is no time to perform an antibiogram or the cost of it could not be assumed. In particular, we highlight the use of this model aiming to become part of the convenient toolbox of Public Health research and decision-making in the design of the mitigation strategy of bacterial pathogens. [ABSTRACT FROM AUTHOR]