ABCDEFGHIJKLMNOPQRSTUVWXYZ
1
2
MEMPELAJARI MODEL DINAMIKA POPULASI DAN LEDAKAN POPULASI
3
4
Panduan:
5
1) Jangan mengubah apapun pada sel berwarna merah
6
2) Lakukan perubahan HANYA pada sel berwarna hijau
7
Parameter
Dinamila Populasi
No ourbreaksOccasionalOutbreak
8
URL: http://www.gypsymoth.ento.vt.edu/~sharov/PopEcol/lec13/model.html
r1111
9
Model of the Spruce Budworm:
dN/dt = r*N*(1-N/K) - alpha*N^2/(1+ beta*N^2) + N*noise
K1000100010001000
10
alpha0,50,50,50,4
11
TimeN(t)N'(t)N(t+0.5)N'(t+0.5)NoiseNN'beta0,040,040,040,04
12
00,10,09499199920,10474960,09925479498-0,42159501200noise range0,30,30,70,3
13
0,10,097277629140,09253848790,10190455350,096704055860,11819423020,50,3759876238time step0,10,10,10,1
14
0,20,11039733110,10429432740,11561204740,10891917970,207486936510,5182307692
15
0,30,12816105030,11993738980,13415791970,1251472218-0,46305205721,50,4656399083
16
0,40,1228722010,11531287060,12863784460,1203529223-0,0372582339820,271862069
17
0,50,13353409290,12460693920,13976443990,1299854821-0,21966666862,5-0,00625
18
0,60,13773274430,12823581160,14414453490,1337435608-0,29233566883-0,3178235294
19
0,70,13902784220,12935160930,14549542270,13489874960,22933824863,5-0,622988255
20
0,80,16208303770,14893510,16952979270,1551473783-0,39798563014-0,8940487805
21
0,90,15824575960,14571238690,16553137890,151818659-0,026028553314,5-1,114172652
22
10,1721919530,15735483030,18005969460,1638375221-0,35504407025-1,275
Phase plots
23
1,10,17023498570,15573280790,17802162610,16216414660,16830379915,5-1,374141403
24
1,20,19504675880,17601599830,20384755870,18306356840,17047001126-1,41304918
25
1,30,22332800260,19839008090,23324750660,2060499708-0,087331670226,5-1,395409851
26
1,40,23808191740,20974784860,24856930980,2176903359-0,31024959387-1,326027027
27
1,50,23769150560,20945007720,24816400940,2173854050,06470410087,5-1,210096154
28
1,60,26404393060,22921155770,27550450850,23759211440,071106266568-1,052764045
29
1,70,29343569550,2504451080,30595795090,25923381060,22457584628,5-0,8588823907
30
1,80,33912864740,28177284590,35321728970,29102106790,36715835969-0,6328867925
31
1,90,40558492960,32370852440,42177035580,3332757761-0,023182358929,5-0,3787532538
32
20,43609178260,34153146270,45316835570,35111881-0,486100279810-0,1
33
2,10,40760836230,32491836480,42385428050,33448929710,369217338910,50,2002860444
34
2,20,48620611450,36887872070,50465005050,37834361460,2116897631110,5194109589
35
2,30,55491793310,40251643360,57504375480,4115337940,46348605511,50,855031399
36
2,40,67323032960,45019290620,69573997490,45782602120,08278590834121,205112426
37
2,50,7357331270,47027619420,75924693670,4769387619-0,423221356912,51,567887931
38
2,60,69001361150,45592715150,71280996910,46331326990,4150316703131,941824742
39
2,70,8222581890,49242952970,84687966550,4975606376-0,150798296313,52,325590772
40
2,80,83481571250,49511058540,85957124180,5000059578-0,3686128183142,718027149
41
2,90,79249917650,48553937590,81677614530,4912171046-0,0998491496714,53,11812407
42
30,81788177630,49146368890,84245496080,4966762862-0,04219863688153,525
43
3,10,85719535610,49955846940,88217327960,50402735220,283664052815,53,937883836
44
3,20,9805447440,51665298491,0063773930,51868321670,4383048354164,356099644
45
3,31,1613463160,52015389241,1873540110,51866868360,0060984899816,54,779053616
46
3,41,2153379220,51653693241,2411647690,5140866266-0,48990456175,20622293
47
3,51,0881267080,52170301881,1142118590,5216029112-0,357411600917,55,637146226
48
3,61,0236142670,51974727731,049601630,5209169360,2998627076186,071415473
49
3,71,1677890840,51983092391,193780630,51822773070,274308995418,56,508668993
50
3,81,3157123720,50448451281,3409365980,5004082112-0,1641492732196,948585492
51
3,91,3009612240,50667712531,3262950810,5028242680,087058161819,57,390878933
52
41,3852214390,49227305281,4098350920,4872244627-0,3584906824207,835294118
53
4,11,2849671910,50889296761,310411840,5052887426-0,378287502320,58,281602892
54
4,21,1896699570,51851313651,2155956140,51651475990,0424781852218,729600858
55
4,31,2564819390,51241763061,2821028210,50927192520,275469871321,59,179104541
56
4,41,4112460070,486923851,43559220,4815474796-0,2113437148229,629948919
57
4,51,3699233630,49522248081,3946844870,49037602620,22434345322,510,08198529
58
4,61,5111609670,46264132261,5342930330,4562049133-0,22007358422310,53507942
59
4,71,4570114750,47652537691,4808377440,4706234671-0,194872334823,510,9891099
60
4,81,4188944530,48527327031,4431581170,47980449920,25355091542411,44396672
61
4,91,57480350,44422782611,5970148910,4372891639-0,0298509132224,511,89955008
62
51,6044296190,43491543851,6261753910,42779059410,4122763832512,35576923
63
5,11,8456492110,34327667221,8628130440,33578149970,449802037925,512,81254156
64
5,22,1282803940,20636076722,1385984320,20088059280,26685095032613,26979173
65
5,32,3187485470,10089765472,3237934290,097993299380,0435314739426,513,72745093
66
5,42,3588294390,077686892842,3627137840,075421369970,26016463362714,18545623
67
5,52,550476775-0,036946211662,548629464-0,035817517710,15507536927,514,64375
68
5,62,665549861-0,10791626852,660154048-0,1045632088-0,18910953092815,10227936
69
5,72,503869275-0,0085918811692,503439681-0,00833177373-0,483956205728,515,56099574
70
5,82,1395071760,20039652832,1495270020,19504428470,24377740162916,0198545
71
5,92,3154806540,10277628042,3206194680,09982114944-0,444945540329,516,47881451
72
62,0163839320,26378394892,0295731290,25721696430,096195245973016,93783784
73
6,12,1002955930,22107333482,111349260,21528875280,197543684730,517,39688949
74
6,22,2462945070,14202329332,2533956720,1380432771-0,35614673483117,85593712
75
6,32,0200956990,26194155962,0331927770,25540488-0,0179615928831,518,31495079
76
6,42,0347509460,25462352852,0474821220,2482104846-0,23637301153218,77390276
77
6,51,9152839320,31215256481,930891560,30492280610,288239296432,519,23276734
78
6,62,111394240,21526514192,1221574970,20959878270,24207749983319,69152065
79
6,72,285690430,11980112682,2916804860,116392711-0,445012633233,520,1501405
80
6,81,9921813660,27568546772,0059656390,26893101410,091606075943420,60860627
81
6,92,0738232430,23478111412,0855622980,2287281409-0,435553172434,521,06689873
82
71,8257179690,35183044441,8433094910,3442892009-0,19755349693521,525
83
7,11,7519437980,38203140151,7710453690,3744383812-0,0468534060535,521,98289336
84
7,21,7647622760,37695381251,7836099670,36935623590,14118215643622,44056321
85
7,31,8764437830,32974570741,8929310680,3223480648-0,070489043936,522,89799498
86
7,41,8689979710,33305184341,8856505630,3256277087-0,28837409343723,35517504
87
7,51,7398695630,38674683191,7592069050,379163359-0,0920632886737,523,81209061
88
7,61,7297324650,39065467291,7492651990,38308316250,081293100783824,26872975
89
7,71,8102253760,35836584151,8281436680,35079814260,166222317238,524,72508123
90
7,81,9355751470,30273579911,9507119370,2956132818-0,39097858473925,18113454
91
7,91,7381059460,38743006971,7574774490,3798484190,279229850839,525,63687979
92
81,9216901070,30919600141,9371499070,3019986668-0,097627613084026,09230769
93
8,11,8956069680,32113753761,9116638450,3138165331-0,361800910740,526,54740951
94
8,21,7212389230,39389265891,7409335560,38633395050,0062266559554127,00217702
95
8,31,7630875870,37762133031,7819686540,3700240232-0,178610909841,527,45660248
96
8,41,7056179860,39976048511,725606010,39223194780,34853593364227,91067859
97
8,51,9231819280,30850531361,9386071940,3013157201-0,494917476742,528,36439846
98
8,61,6677685960,41349924441,6884435580,40607947730,22070764084328,8177556
99
8,71,8188033250,35475970381,836541310,34720563770,389955643143,529,27074387
100
8,82,0662996750,23863858762,0782316040,23251289520,17689911524429,72335747