{VERSION 5 0 "IBM INTEL LINUX" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "Beetle Population with thr ee states" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "L is the amount of larva population" }} {PARA 0 "" 0 "" {TEXT -1 70 "P is the amount of pupa population\nA is \+ the amount of adult population" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "restart;with(plots):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "P arameters" }}{PARA 0 "" 0 "" {TEXT -1 15 "b birth factor" }}{PARA 0 " " 0 "" {TEXT -1 60 "cl crowding factor for births of larva from larva \+ population" }}{PARA 0 "" 0 "" {TEXT -1 141 "ca crowding factor for bir ths of larva from adults population\ncaa crowding factor for transit ion from pupa to adults from adult papulation " }}{PARA 0 "" 0 "" {TEXT -1 22 "dl death rate of larva" }}{PARA 0 "" 0 "" {TEXT -1 21 "dp death rate of pupa" }}{PARA 0 "" 0 "" {TEXT -1 23 "da death rate of a dults" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 88 "b := 7.48:\ncl := \+ 0.012:\nca := 0.009:\ncaa := 0.004:\ndl := 0.267:\ndp := 0.0:\nda := 0 .0036:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 47 "Iinitial conditions\nl0 larva\np0 pupa\na0 adults" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "l0 := 100:\np0 := 100:\na0 := 100:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 63 "n0: Initially there are n0 iterates that are not displa yed. " }}{PARA 0 "" 0 "" {TEXT -1 93 "n1: Then n1 more iterates are \+ calculated with the values of the the iterates are displayed." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "n0 := 1000:\nn1 := 100:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 142 "f := proc(l,p,a) \n local \+ l1,p1,a1:\n l1 := b*a*exp(-ca*a-cl*l):\n p1 := l*(1-dl):\n a1 := p* (1-dp)*exp(-caa*a) + a*(1-da):\n (l1,p1,a1);\nend:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "for i from 1 to n0 do\n (l0,p0,a0) := f(l0,p0,a0):\nod:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 171 "p rintf(`\\t i \\t\\t larva \\t pupa \\t adult`);\nfor i from 1 to n1 do \n (l0,p0,a0) := f(l0,p0,a0):\n printf(`\\t%3d\\t\\t%4.2f \\t\\t%4.2f\\t\\t%4.2f\\n`,i,l0,p0,a0);\n od:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "1 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }