ModelPredator-Mangsa_TanggapanFungsional&TanggapanNumerik.xlsx

	A	B	C	D	E	F	G	H	I	J	K	L
1	Predator-Prey model with Functional and Numerical Responses									Parameters
2										rH	0,2	Growth rate of prey population
3	t	H(t)	P(t)	H'(t)	P'(t)	H(t+0.5)	P(t+0.5)	H'(t+0.5)	P'(t+0.5)	K	500	Carrying capacity of prey population
4	0	20	6	3,721188119	-0,3	20,93029703	5,925	3,888100826	-0,2461317918	rP	0,1	Growth rate of predator population
5	0,5	21,94405041	5,876934104	4,068629441	-0,1992705688	22,96120777	5,827116462	4,249075741	-0,1566938458	a	0,001	Search rate of predators
6	1	24,06858828	5,798587181	4,444094652	-0,1186370329	25,17961195	5,768927923	4,638863929	-0,08396984236	Th	0,5	Handling time
7	1,5	26,38802025	5,75660226	4,849145808	-0,05224723483	27,6003067	5,743540451	5,058984959	-0,02325266401	k	0,2	Carrying capacity of predators per 1 prey
8	2	28,91751273	5,744975928	5,285250918	0,003826997359	30,23882546	5,745932677	5,510848085	0,02867685342
9	2,5	31,67293677	5,759314355	5,75374675	0,05230298135	33,11137346	5,7723901	5,99571049	0,07408127312
10	3	34,67079201	5,796354991	6,255793087	0,09511049648	36,23474029	5,820132615	6,514627301	0,1145896869
11	3,5	37,92810567	5,853649835	6,792318803	0,1336522524	39,62618537	5,887062898	7,068393638	0,1514006389
12	4	41,46230248	5,929350154	7,363960103	0,1689692544	43,30329251	5,971592468	7,657479064	0,1854132278
13	4,5	45,29104202	6,022056768	7,970991468	0,2018487176	47,28378988	6,072518948	8,281955108	0,217313964
14	5	49,43201957	6,13071375	8,613250139	0,2328962232	51,5853321	6,188937806	8,941416889	0,2476356186
15	5,5	53,90272801	6,254531559	9,290055477	0,2625850186	56,22524188	6,320177814	9,634900476	0,2767978992
16	6	58,72017825	6,392930509	10,00012513	0,2912903565	61,22020954	6,465753098	10,3607982	0,305136074
17	6,5	63,90057735	6,545498546	10,74149063	0,3193138286	66,58595001	6,625327003	11,1167749	0,3329214393
18	7	69,4589648	6,711959266	11,51141575	0,3469008747	72,33681874	6,798684484	11,89968897	0,3603761655
19	7,5	75,40880929	6,892147348	12,30632187	0,3742535551	78,48538975	6,985710737	12,70552254	0,3876842026
20	8	81,76157055	7,08598945	13,12172525	0,4015399799	85,04200187	7,186374445	13,52932641	0,4149993802
21	8,5	88,52623376	7,29348914	13,95219177	0,4289013428	92,0142817	7,400714475	14,36518526	0,4424514817
22	9	95,70882639	7,514714881	14,79131519	0,4564572147	99,40665519	7,628829184	15,20620949	0,4701508342
23	9,5	103,3119311	7,749790298	15,63172505	0,4843095543	107,2198624	7,870867686	16,04455969	0,4981917974
24	10	111,334211	7,998886196	16,46513008	0,5125457633	115,4504935	8,127022637	16,87150927	0,5266554269
25	10,5	119,7699656	8,26221391	17,28240199	0,5412410191	124,0905661	8,397524165	17,67754961	0,5556115091
26	11	128,6087404	8,540019664	18,0737033	0,5704600562	133,1271662	8,682634678	18,45254042	0,5851201129
27	11,5	137,8350106	8,832579721	18,82866062	0,6002585216	142,5421758	8,982644351	19,18590543	0,6152327671
28	12	147,4279633	9,140196104	19,53658212	0,6306839971	152,3121089	9,297867104	19,86687091	0,6459933425
29	12,5	157,3613988	9,463192776	20,18671492	0,6617767589	162,4080775	9,628636966	20,48474076	0,6774387004
30	13	167,6037692	9,801912126	20,76853475	0,6935703275	172,7959029	9,975304708	21,02919918	0,7095991531
31	13,5	178,1183688	10,1567117	21,27205669	0,7260918491	183,4363829	10,33823466	21,49062797	0,7424987732
32	14	188,8636828	10,52796109	21,68815332	0,7593623394	194,2857211	10,71780167	21,86042354	0,7761555788
33	14,5	199,7938945	10,91603888	22,00886401	0,7933968153	205,2961105	11,11438808	22,13129677	0,8105816168
34	15	210,8595429	11,32132969	22,22767836	0,8282043342	216,4164625	11,52838077	22,29753838	0,8457829629
35	15,5	222,0083121	11,74422117	22,33977701	0,8637879574	227,5932564	11,96016816	22,3552338	0,8817596522
36	16	233,185929	12,18510099	22,34221483	0,9001446499	238,7714827	12,41013716	22,3024138	0,9185055533
37	16,5	244,3371359	12,64435377	22,23403456	0,9372651299	249,8956445	12,87867005	22,13913091	0,9560081955
38	17	255,4067014	13,12235787	22,01630368	0,9751336766	260,9107773	13,36614129	21,86745678	0,9942485608
39	17,5	266,3404297	13,61948215	21,69207183	1,013727905	271,7634477	13,87291413	21,49140049	1,033200846
40	18	277,08613	14,13608257	21,26625181	1,053018518	282,4026929	14,3993372	21,0167535	1,072832207
41	18,5	287,5945067	14,67249868	20,74543221	1,092969044	292,7808648	14,94574094	20,45087135	1,11310249
42	19	297,8199424	15,22904992	20,13763355	1,133535564	302,8543508	15,51243381	19,8024062	1,153963959
43	19,5	307,7211455	15,8060319	19,45202354	1,174666438	312,5841514	16,09969851	19,08100638	1,195361031
44	20	317,2616487	16,40371242	18,69860788	1,216302051	321,9363007	16,70778793	18,29700028	1,237230018
45	20,5	326,4101488	17,02232743	17,88791393	1,25837456	330,8821273	17,33692106	17,46108123	1,279498895
46	21	335,1406894	17,66207687	17,03068302	1,300807679	339,3983602	17,98727879	16,58400836	1,322087099
47	21,5	343,4326936	18,32312042	16,13758494	1,343516496	347,4670899	18,65899955	15,67633564	1,364905365
48	22	351,2708614	19,0055731	15,21896539	1,386407336	355,0756028	19,35217494	14,74817821	1,407855614
49	22,5	358,6449506	19,70950091	14,28463363	1,429377673	362,216109	20,06684533	13,80902162	1,450830898
50	23	365,5494614	20,43491636	13,34369448	1,472316117	368,885385	20,80299539	12,86757637	1,49371542
51	23,5	371,9832496	21,18177407	12,40442529	1,515102466	375,0843559	21,56054969	11,93167722	1,536384626
52	24	377,9490882	21,94996638	11,47419653	1,557607848	380,8176373	22,33936835	11,00822448	1,578705394
53	24,5	383,4532004	22,73931908	10,55943201	1,599694959	386,0930584	23,13924282	10,10316281	1,620536319
54	25	388,5047818	23,54958724	9,665603924	1,641218398	390,9211828	23,95989184	9,221491841	1,661728108
55	25,5	393,1155277	24,38045129	8,797256608	1,682025126	395,3148419	24,80095758	8,367302614	1,702124086
56	26	397,299179	25,23151334	7,958053084	1,721955033	399,2886923	25,6620021	7,543833697	1,741560839
57	26,5	401,0710959	26,10229376	7,150838352	1,760841641	402,8588055	26,54250417	6,753541196	1,779868974
58	27	404,4478665	26,99222824	6,377713939	1,798512936	406,042295	27,44185648	5,998177472	1,816874015
59	27,5	407,4469552	27,90066525	5,640118896	1,834792334	408,8569849	28,35936333	5,278874091	1,852397445
60	28	410,0863923	28,82686397	4,938913169	1,869499783	411,3211206	29,29423892	4,59622535	1,88625787
61	28,5	412,3845049	29,76999291	4,274460074	1,902453003	413,45312	30,24560616	3,950369513	1,918272324
62	29	414,3596897	30,72912907	3,646705392	1,933468848	415,271366	31,21249628	3,341065613	1,948257696
63	29,5	416,0302225	31,70325792	3,055251272	1,962364797	416,7940353	32,19384912	2,76776436	1,976032281
64	30	417,4141047	32,69127406	2,499423772	1,988960555	418,0389606	33,1885142	2,229672239	2,001417426
65	30,5	418,5289408	33,69198277	1,978333343	2,013079748	419,0235241	34,19525271	1,725808354	2,024239278
66	31	419,391845	34,70410241	1,490928012	2,034551701	419,764577	35,21274034	1,255053935	2,044330587
67	31,5	420,0193719	35,7262677	1,036039312	2,053213275	420,2783818	36,23957102	0,8161946831	2,06153257
68	32	420,4274693	36,75703399	0,6124212327	2,068910734	420,5805746	37,27426167	0,4079563553	2,075696787
69	32,5	420,6314475	37,79488238	0,2187826672	2,081501624	420,6861431	38,31525779	0,02903408558	2,086687016
70	33	420,6459645	38,83822589	-0,1461861144	2,09085663	420,609418	39,36094005	-0,3218839585	2,094381082
71	33,5	420,4850225	39,88541643	-0,4837923438	2,096861371	420,3640744	40,40963177	-0,6460979605	2,098672626
72	34	420,1619735	40,93475274	-0,7953243604	2,099418116	419,9631425	41,45960727	-0,9448822508	2,09947276
73	34,5	419,6895324	41,98448913	-1,08203932	2,098447375	419,4190226	42,50910097	-1,2194749	2,096711589
74	35	419,079795	43,03284492	-1,345154411	2,093889331	418,7435064	43,55631725	-1,471070528	2,090339555
75	35,5	418,3442597	44,0780147	-1,585841022	2,085705093	417,9477994	44,59944097	-1,700815799	2,080328583
76	36	417,4938518	45,11817899	-1,805221338	2,073877715	417,0425465	45,63664842	-1,909807106	2,066672992
77	36,5	416,5389483	46,15151549	-2,004366918	2,058412988	416,0378565	46,66611873	-2,099090006	2,049390143
78	37	415,4894032	47,17621056	-2,184298825	2,039339943	414,9433285	47,68604554	-2,269660034	2,028520809
79	37,5	414,3545732	48,19047096	-2,345988961	2,016711076	413,768076	48,69464873	-2,422464536	2,004129251
80	38	413,143341	49,19253559	-2,490362276	1,990602268	412,5207504	49,69018615	-2,558405244	1,976302979
81	38,5	411,8641383	50,18068708	-2,618299599	1,961112395	411,2095634	50,67096517	-2,678341344	1,94515221
82	39	410,5249677	51,15326318	-2,730640845	1,928362625	409,8423075	51,63535384	-2,783092821	1,910809009
83	39,5	409,1334213	52,10866769	-2,828188424	1,892495417	408,4263742	52,58179154	-2,873443913	1,87342614
84	40	407,6966993	53,04538076	-2,911710682	1,853673224	406,9687716	53,50879906	-2,950146537	1,833175629
85	40,5	406,221626	53,96196857	-2,981945258	1,812076927	405,4761397	54,4149878	-3,013923572	1,79024707
86	41	404,7146642	54,85709211	-3,039602258	1,767904026	403,9547637	55,29906811	-3,065471915	1,744845699
87	41,5	403,1819283	55,72951495	-3,085367171	1,721366616	402,4105865	56,15985661	-3,105465254	1,697190281
88	42	401,6291957	56,5781101	-3,119903474	1,67268919	400,8492198	56,99628239	-3,134556511	1,647510827
89	42,5	400,0619174	57,40186551	-3,143854905	1,622106298	399,2759537	57,80739208	-3,15337993	1,596046205
90	43	398,4852274	58,19988861	-3,157847373	1,569860122	397,6957656	58,59235364	-3,162552812	1,543041678
91	43,5	396,903951	58,97140945	-3,162490506	1,516197995	396,1133284	59,35045895	-3,162676882	1,488746408
92	44	395,3226126	59,71578265	-3,158378862	1,461369914	394,5330179	60,08112513	-3,154339325	1,433410988
93	44,5	393,7454429	60,43248815	-3,146092789	1,405626095	392,9589197	60,78389467	-3,138113491	1,377285018
94	45	392,1763862	61,12113066	-3,126198999	1,349214604	391,3948364	61,45843431	-3,114559316	1,320614792
95	45,5	390,6191065	61,78143805	-3,099250845	1,2923791	389,8442938	62,10453283	-3,084223472	1,263641108
96	46	389,0769948	62,41325861	-3,065788376	1,235356731	388,3105477	62,72209779	-3,04763931	1,20659725
97	46,5	387,5531751	63,01655723	-3,026338177	1,178376209	386,7965906	63,31115128	-3,005326603	1,149707155
98	47	386,0505118	63,59141081	-2,981413043	1,121656083	385,3051586	63,87182483	-2,957791148	1,093183796
99	47,5	384,5716163	64,13800271	-2,931511528	1,065403227	383,8387384	64,40435351	-2,90552426	1,037227784
100	48	383,1188541	64,6566166	-2,877117398	1,009811569	382,3995748	64,90906949	-2,849002181	0,9820262127