Benign prostatic hyperplasia \((\textrm{BPH})\) is a highly prevalent disease affecting a large proportion of men especially by the age of 60 years and above. Defined as a non-malignant enlargement of the prostate gland, it is frequently associated with lower urinary tract symptoms (LUTS) and it ultimately obstructs the bladder outflow. Sometimes, this disease can also prelude the prostate cancer \((\textrm{PCa})\) which is the second more prevalent men cancer in developed countries. While for a long period of time, benign prostatic hyperplasia was considered as an irreversible age-dependent disease, recent clinical and epidemiological studies brought out evidence on the correlation between BPH and diabetes homeostasis (hyperglycaemia, hyperinsulenemia) and more generally with metabolism syndrome (MetS). Following the interesting findings of a large number of studies in terms of correlation between benign prostatic hyperplasia and the components of the metabolism syndrome, we propose a mathematical model that illustrates the men population dynamics based on the flow out of and in compartments of men with MetS, BPH, CVDs/PCa. Carrying out simulations using and varying values of some parameters of our model shows how the number of men affected by BPH can be controlled through action on the main risk factors of MetS (healthy diet, physical activity, weight control, ...). Moreover, our model indicates that action on these risk factors can reduce the mixed burden of MetS, BPH and CVDs/PCa.