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$,$d$1,$d$2,$d$3,$d$4,$t$12,$t$23,$t$34]$ where

BR$,$ birth rate in group $2$

di$,$ death rates in group Pi

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

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

timedata$=[$tinit$,$tfinal,delt$]$

RESULTS:

P$1,$P$2,$P$3,$P$4,$ group time histories as row vectors. If these conventions are not followed an incorrect answer will result.