Stationary distributions of the model, i.e. probabilities of finding exactly m infected males (for all 0ƒmƒM) and f infected females (for all 0ƒf ƒF ) in the population, generate a distribution of possible outcomes d 0 for the total number of cats. To incorporate the fact that data are missing for non-captured individuals, we add a hypergeometric sampling element to the distribution d 0 (in other words data are the result of a random sampling of the entire population). This leads to the distribution d to which data can be compared [29] :