MATHEMATICAL MODELLING ON KIDNAPPING WITH APPREHENDED KIDNAPPERS

In  this  work,  we  develop  a  mathematical  model  on  kidnapping  by incorporating  the  concept  of  apprehended kidnappers  in  a  system  of ordinary    differential    equations    describing    the    evolution    and propagation  of  kidnapping  as  a  crime  in  human  society.  It  accounts for   the   interaction   between   kidnappers   and   vulnerable   humans leading  to  their  abduction  for  the  main  purpose  of  ransom  payment. We  establish  the  crime  propagation  number,CPN,  in  which  a CPN<1guarantees a kidnaping free state. The analysis  and the numerical simulations  of  the  model  suggeststhat,  increasing  the  apprehension rate  of  kidnappers  by  Security  agents  is  a  better  and  more  effective way of ensuring a kidnapping free society.