Singularity analysis in nonlinear biomathematical models: Two case studies

We investigate the possession of the Painlevé Property for certain values of the parameters in two biological models. The first is a metapopulation model for two species (prey and predator) and the second one is a study of a sexually transmitted disease, into which “education” is introduced. We determine the cases for which the systems possess the Painlevé Property, in particular some of the cases for which the equations can be directly integrated. We draw conclusions for these cases.