Singularity analysis and integrability of a simplified multistrain model for the transmission of tuberculosis and dengue fever

Abstract

We apply singularity analysis to a caricature of the simplified multistrain model of Castillo-Chavez and Feng (J Math Biol 35 (1997) 629-656) for the transmission of tuberculosis and the coupled two-stream vector-based model of Feng and Velasco-Hernández (J Math Biol 35 (1997) 523-544) to identify values of the parameters for which the system of nonlinear first-order ordinary differential equations describing the model are integrable. A number of combinations of parameters for which the system is integrable are identified. We compare them with the results we obtained by a symmetry analysis in an earlier paper (J Math Anal Appl 333 (2007) 430-449.