ABCDEFGHIJKLMNOPQRSTUVWXYZ
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MATAKULIAH
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PENGENDALIAN HAYATI
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Kegiatan:
Model Interaksi Predator-Mngsa Lotka-Voltera
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Penyusun
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I Wayan Mudita
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PERHATIAN
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Ubah HANYA nilai parameter rrr, aaa, bbb, atau mmm pada kotak berwarna hijau
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JANGAN mengubah apapun dalam sel berwarna merah bata di bawah kurva, kecuali angka dalam sel berwarna hijau
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Setiap mengubah satu nilai, perhatikan perubahan yang terjadi pada kurva
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Lotka-Volterra ModelLeslie-Grower Model
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y1y2y1’y2’tParametersInitial ConditionsL-V Steady StateL-G Steady Statey1y2y1’y2’t
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5010050501004,960
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5010,5-2,55,250,1α1β1α2β2dty1 (0)y2 (0) y1y2y1y25010,496-2,485,2039335940,1
13
49,7511,025-5,0993755,4573750,210,10,50,020,1501025100,41049,75211,01639336-5,0567602415,459410330,2
14
49,240062511,5707375-7,7343212675,6095080030,349,2463239811,56233439-7,6939225655,7268737730,3
15
48,4666303712,1316883-10,331574895,6937969030,448,4769317212,13502177-10,349930456,0067567290,4
16
47,4334728812,70106799-12,812103535,6985812870,547,4419386712,73569744-12,978679036,299471250,5
17
46,1522625313,27092612-15,09606415,6142022660,646,1440707713,36564457-15,530454116,6053950210,6
18
44,6426561213,83234635-17,108612015,4340804530,744,5910253614,02618407-17,95316766,9248528260,7
19
42,9317949214,37575439-18,785899015,1556615910,842,795708614,71866935-20,193879867,2580912410,8
20
41,0532050214,89132055-20,080438544,7810684360,940,7763206115,44447848-22,200579997,6052439270,9
21
39,0451611715,36942739-20,96501584,317321695138,5562626216,20500287-23,924172017,9662838141
22
36,9486595915,80115956-21,434506993,7760535341,136,1638454117,00163125-25,320591028,3409568151,1
23
34,8052088916,17876492-21,505320363,1727233911,233,6317863117,83572693-26,352949388,728689361,2
24
32,6546768516,49603726-21,212599742,525436691,330,9964913718,70859587-26,993591679,1284584641,3
25
30,5334168816,74858093-20,605723471,8535376071,428,2971322119,62144171-27,225920829,5386077881,4
26
28,4728445316,93393469-19,742884431,1761784491,525,5745401220,57530249-27,045849799,9565852171,5
27
26,4985560917,05155253-18,685596020,51105415671,622,8699551521,57096101-26,4627359410,378565531,6
28
24,6299964817,10265795-17,49384402-0,12656087131,720,2236815522,60881757-25,4996711210,798903761,7
29
22,8806120817,09000186-16,22235822-0,72440686921,817,6737144423,68870794-24,1930315211,209337621,8
30
21,2583762617,01756117-14,91819558-1,2734662181,915,2544112924,80964171-22,5912365611,597817151,9
31
19,766556716,89021455-13,61958166-1,767879603212,9952876325,96942342-20,7527250711,946780162
32
18,4045985416,71342659-12,35579212-2,2046351642,110,9200151227,16410144-18,7432247312,230608622,1
33
17,1690193216,49296307-11,14778085-2,5831215022,29,04569265128,3871623-16,6324618912,41189122,2
34
16,0542412416,23465092-10,009259-2,9046254152,37,38244646229,62835142-14,4905253512,435996032,3
35
15,0533153415,94418838-8,947974215-3,171836282,45,93339392730,87195102-12,3841507412,223388012,4
36
14,1585179215,62700475-7,967004763-3,3883978412,54,69497885332,09428982-10,3732223511,659293672,5
37
13,3618174415,28816497-7,065949493-3,5585290982,63,65765661833,26021919-8,50778946610,581197432,6
38
12,6552224914,93231206-6,241950652-3,6867214012,72,80687767134,31833893-6,8258602568,7672940452,7
39
12,0310274314,56363992-5,490527704-3,7775089342,82,12429164635,19506834-5,3521673195,9353611552,8
40
11,4819746614,18588903-4,806227172-3,8353041482,91,58907491435,78860445-4,098002441,7739268132,9
41
11,0013519413,80235861-4,183108529-3,86428721231,1792746735,96599713-3,06210427-3,9551127613
42
10,5830410913,41592989-3,615092638-3,86833823,10,87306424335,57048586-2,232467688-11,199095273,1
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10,2215318213,02909607-3,096200188-3,8510016333,20,649817474234,45057633-1,588841175-19,303191193,2
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9,91191180412,64399591-2,620705424-3,8154745083,30,490933356632,52025721-1,105594547-26,823809973,3
45
9,64984126112,26244846-2,183226847-3,7646106073,40,38037390229,83787622-0,7545810383-31,892835913,4
46
9,43151857711,8859874-1,778772516-3,7009354793,50,304915798226,64859262-0,5076418908-33,255611533,5
47
9,25364132511,51589385-1,402753796-3,62666793,60,254151609123,32303147-0,3386069886-31,144728853,6
48
9,11336594611,15322706-1,05097802-3,5437447363,70,220290910220,20855859-0,2248852663-26,97267863,7
49
9,00826814410,79885258-0,7196278287-3,4538470983,80,197802383617,51129073-0,1485751209-22,249572813,8
50
8,93630536110,45346787-0,4052327398-3,3584263173,90,182944871515,28633345-0,09671075928-17,902451293,9
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8,89578208710,11762524-0,1046368528-3,25872883440,173273795613,49608832-0,06057804922-14,27583884
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8,8853184019,7917523590,1850346592-3,1558194314,10,167215990612,06850444-0,03458870185-11,386186914,1
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8,9038218679,4761704160,4664085302-3,0506025414,20,163757120510,92988575-0,0152275412-9,1252504674,2
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8,950462729,1711101620,7418947592-2,9438414894,30,162234366310,0173607-0,0002816501957-7,3620050534,3
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9,0246521968,8767260131,013715705-2,8361757084,40,16220620139,2811601930,01166002744-5,9804607564,4
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9,1260237678,5931084431,283932579-2,7281359844,50,16337220418,6831141180,02151425491-4,8884672554,5
57
9,2544170258,3202948441,554469199-2,6201578574,60,16552362958,1942673920,02988914152-4,0160303624,6
58
9,4098639458,0582790581,827132988-2,5125933384,70,16851254377,7926643560,03719637441-3,3109197494,7
59
9,5925772437,8070197252,103633268-2,4057210674,80,17223218117,4615723810,04371989254-2,7343310754,8
60
9,802940577,5664476182,385596938-2,2997550824,90,17660417047,1881392740,04965863308-2,257360274,9
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10,041500267,336472112,674581601-2,19485232250,18157003376,9624032470,05515365449-1,8583423515
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10,308958427,1169868772,972086242-2,0911190025,10,18708539926,7765690120,06030568731-1,5209053915,1
63
10,606167056,9078749773,279559453-1,9886159695,20,19311596796,6244784720,06518671069-1,2325651645,2
64
10,934122996,709013383,598405247-1,8873631415,30,1996346396,5012219560,06984772916-0,98371299945,3
65
11,293963526,5202770663,929986387-1,7873431075,40,20661941196,4028506560,07432408818-0,76688492455,4
66
11,686962166,3415427564,275625137-1,6885039745,50,21405182076,3261621640,07863916778-0,57623097755,5
67
12,114524676,1726923584,636601285-1,5907615025,60,22191573756,2685390660,0828069905-0,40712707735,6
68
12,57818486,0136162085,014147202-1,4940005845,70,23019643656,2278263580,08683409303-0,25588886785,7
69
13,079599525,864216155,409439646-1,39807615,80,23887984586,2022374710,09072089273-0,11955896695,8
70
13,620543485,724408545,823587941-1,3028131615,90,24795193516,1902815750,094462705570,0042525504615,9
71
14,202902285,5941272236,25761805-1,20800676660,25739820566,190706830,098050522680,11748875146
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14,828664085,4733265476,712452005-1,1134208586,10,26720325796,2024557050,10147162080,22173775416,1
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15,499909285,3619844617,188882011-1,0187867766,20,277350426,224629480,10471005990,3183033116,2
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16,218797485,2601057837,68753844-0,92380108276,30,2878214266,2564598110,10774710750,40825940756,3
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16,987551335,1677256758,208850813-0,82812273446,40,29859613676,2972857520,1105616170,49249278136,4
76
17,808436415,0849134028,753000713-0,73136956166,50,30965229846,346535030,11313038250,57173624326,5
77
18,683736485,0117764469,31986544-0,63311401466,60,32096533676,4037086550,11542848630,64659493666,6
78
19,615723034,9484650449,908951055-0,5328781286,70,33250818536,4683681480,11742964980,71756713966,7
79
20,606618134,89517723110,51931334-0,43012765796,80,34425115036,5401248620,11910659960,78506081666,8
80
21,658549464,85216446611,14946506-0,3242653516,90,35616181036,6186309440,12043145240,849406846,9
81
22,773495974,8197379311,79726774-0,214623318570,36820495556,7035716280,12137612620,91086958517
82
23,953222744,79827559912,45980632-0,10045451537,10,38034256816,7946585860,12191277850,96965544467,1
83
25,199203384,78823014713,133244850,019076632257,20,3925338466,8916241310,12201427351,0259196847,2
84
26,512527864,7901378113,812661650,14490433797,30,40473527336,9942160990,12165467691,0797719757,3
85
27,893794034,80462824414,491862960,27807209027,40,4169007417,1021932970,12080977621,1312808677,4
86
29,342980324,83243545315,163174480,41974344167,50,42898171867,2153213830,11945762191,1804774157,5
87
30,859297774,87440979715,817211430,57121236917,60,44092748087,3333691250,11757908341,227358147,6
88
32,441018914,93153103416,442629760,7339123147,70,45268538917,4561049390,11515841261,2718874517,7
89
34,085281895,00492226617,025863260,90942259237,80,46420123047,5832936840,11218380451,3139996787,8
90
35,787868225,09586452517,550855411,0994702997,90,47541961097,7146936520,10864794551,3536007977,9
91
37,542953765,20581155517,998799511,30592507280,48628440547,8500537320,10454853431,3905699558
92
39,342833715,33640406218,347907951,5307831218,10,49673925887,9891107270,09988876471,4247608868,1
93
41,17762455,48948237418,573240111,7761356918,20,50672813538,1315868160,094677752891,4560032848,2
94
43,034948515,66709594318,64663032,0441156718,30,51619591068,2771871440,08893089511,4841042358,3
95
44,899611545,8715075118,536770912,3368143738,40,52508900018,4255975680,08267013991,5088497638,4
96
46,753288636,10518894718,209522532,6561587478,50,53335601418,5764825440,075924159641,5300065898,5
97
48,574240896,37080482217,628540083,0037377518,60,54094843018,7294832030,068728406681,5473241648,6
98
50,33709496,67117859716,756319883,3805657048,70,54782127078,8842156190,061125041741,5605370728,7
99
52,012726887,00923516815,555783443,7867711058,80,55393377499,0402693260,053162723491,5693678688,8
100
53,568305237,38791227813,992511244,2212026598,90,55925004729,1972061130,044896251921,5735304368,9