Effective carrying capacity and analytical solution of a particular case of the Richards-like two-species population dynamics model

► Novel analytical solutions for a generalized two-species dynamics population model. ► Mapping of the two- to one-species model with a time dependent extrinsic growth factor. ► Equivalence between the extrinsic growth factor and the effective carrying capacity. ► Survival-extinction phase transition. ► Particularities of the Gompertz model.