Exact solution for the An-Liu-Johnson-Lovett model related to the dynamics of allelochemicals in the environment

General solutions for a model proposed by An et al. [An, M., Liu, D.L., Johnson, I.R., Lovett, J.V., 2003. Mathematical modelling of allelopathy. II. The dynamics of allelochemicals from living plants in the environment. Ecol. Model. 161, 53-66] to describe the dynamics of allelochemicals in the environment are presented. The particular forms of such solutions in two of the main existing cases in living plants are illustrated.