Before revision:  We then apply this technique to a generalized family of SEIRS models of arbitrary finite dimension, and to a generalized family of  predator-prey (Rosenzweig-MacArthur ) models of arbitrary finite dimension .
After revision:  We then apply this technique to find reproduction numbers for two sets of models: a family of generalized SEIRS models of arbitrary finite dimension, and to a generalized family of predator-prey (Rosenzweig-MacArthur ) models of arbitrary finite dimension .