Using matlab use the demographics equation derived in class to make a script which finds the population history for $4$ population groups. Assume there is no migration.

SETUP:

parameters $=[BR,d1,d2,d3,d4,t12,t23,t34]$ where

BR$,$ birth rate in group $2$

di$,$ death rates in group $$

tij, transition from group Pi to group Pj due to ageing

initconds$=[$ Pinit$1,$Pinit$2,$Pinit$3,$Pinit$4]$

timedata tinit,tfinal,delt