Mathematical Analysis of the Prey-Predator System with Immigrant Prey Using the Soft Computing Technique

Table 44

Unknown parameters obtained by the LeNN-WOA-NM algorithm for the prey-predator model under the influence of variations in .

	Index
		Case I	1	0.27328231	−0.0407082	−0.0036568	0.19095405	0.19619913	0.25334058	0.15448032	0.339199456	0.646260329
2	0.00203693		0.00761269	0.24655049	0.67156041	−0.1202185	0.41029823	0.35456658	0.167129547	−0.02220108
3	0.22854565		−0.1965182	−0.0799706	0.423423	0.03898304	−0.1160494	−0.1932211	0.327298457	0.589634109
4	0.43068766		−0.0047135	−0.0067749	0.7614451	0.24436812	0.10386	0.45804558	−0.10504105	0.096632479
5	0.42381358		−0.1502652	0.51827442	0.10757996	0.24696908	0.11302049	−0.0490828	0.054497193	0.541464355
6	0.03064345		0.387909	−0.0908338	0.20021796	−0.1093334	0.49803749	0.08502235	0.292312181	0.168951799
7	−0.0256272		0.18134944	0.04903339	−0.1439181	0.01678089	0.01522287	0.12228645	0.040610745	0.504241595
8	−0.0029234		0.05369165	0.16118629	0.09238371	0.35203171	−0.0742458	0.58296355	0.326394622	0.311232469
9	0.01433551		−0.0062826	0.11461784	0.00070281	0.08170655	0.27442616	−0.0624975	0.046728012	−0.00253833
10	0.52132655		−0.0745824	0.32373133	0.31625889	0.06469584	0.35518716	0.43265994	0.001675421	−0.07508196
11	0.04700892		−0.1431138	0.19096034	0.61086683	0.05879562	0.07145247	0.31602732	0.294568546	0.005492958
Case II	1	0.22888098	0.15662727	0.72118398	0.66396301	0.48400554	−0.0014987	0.2930431	−0.36246252	−0.19827556
	2	0.32039169	0.21349716	0.26632024	−0.1848203	−0.0673308	−0.0648246	0.13125299	0.041657028	0.029954374
	3	−0.0829388	0.03094832	0.00303522	0.62951247	−0.1925438	0.24736655	−0.1963121	0.431531435	0.708095767
	4	−0.1658907	−0.1447463	−0.6955688	−0.232498	−0.2616095	0.27025227	0.22782911	−0.28937041	−0.12994496
	5	−0.0174758	0.23215182	0.04290016	0.12334482	−0.2128439	−0.0360696	−0.1459274	0.143383282	0.127654212
	6	−0.0712296	−0.3626918	−0.0348668	0.2600438	0.13168403	0.45131095	0.73463526	−0.09109894	0.100058657
	7	−0.0244551	−0.0112202	−0.1246274	−0.3445732	0.31169855	−0.0680798	0.14809738	0.029526212	0.176039899
	8	−0.2963948	0.27684365	0.02435043	−0.1570692	−0.1058024	0.01048308	−0.0287022	0.052204737	0.500290252
	9	−0.0250215	−0.1024261	0.05651485	0.61926963	−0.205578	0.43411127	−0.3748423	0.146360873	−0.41978655
	10	−0.2847311	0.13336075	−0.0903463	−0.1464593	−0.3554768	−0.0475072	0.16657978	−0.04184543	−0.04410262
	11	−0.0012914	0.02947063	−0.2027891	−0.0119255	0.47238101	0.09448735	0.42979806	−0.05005385	−0.00793862
Case III	1	0.17136911	−0.6220119	−0.0659451	0.16001338	0.06604026	−0.6259462	0.41743442	0.34745146	0.123402726
	2	0.13248093	0.22407198	0.16846536	−0.0174004	0.46048206	0.16172196	0.6363567	0.027892663	0.349217115
	3	−0.029666	0.0085174	−0.4187633	−0.0573402	0.29673852	0.13113638	−0.7934564	−0.18170045	0.087257639
	4	0.50916399	0.04634821	−0.1437019	0.08923057	−0.2567021	−0.2934746	0.26333479	−0.21308607	−0.02505351
	5	0.28783823	−0.2662163	0.0766028	0.09914485	0.57665811	0.04300083	0.20662283	−0.48985711	−1.09740743
	6	0.08917337	−0.1050009	0.23818256	0.02035607	−0.1072192	0.2659477	−0.0029764	−0.13148311	0.313665366
	7	−0.7503685	−0.1704471	0.18719634	−0.0233035	−0.0088938	0.26343414	−1.0737247	−0.19018699	0.280100524
	8	0.34230089	0.00558946	−0.1427919	−0.2957063	−0.6490481	0.10546459	0.27322547	0.041606539	−0.10278157
	9	0.25879736	0.21953927	0.11052919	0.00206003	−0.0680416	−0.2189914	0.0378666	0.055450179	−0.26693807
	10	0.11482869	0.04256621	0.24740165	−1.0210288	0.10826852	0.1081171	0.28972162	0.107963625	−0.01416421
	11	0.21645891	0.26405307	−0.2682646	−0.0251217	0.2673504	−0.2407415	−0.3201356	−0.12644907	0.363928738
Case IV	1	0.16321044	1.00101739	0.44610851	0.19117524	−0.1869131	0.03284449	0.48709406	0.492839005	0.068811431
	2	0.05034014	0.27448502	0.05595427	0.34759862	−0.0428559	−0.4656632	0.41211291	0.550350162	0.261254457
	3	0.02309873	0.00700133	−0.3300406	−0.032857	−0.2059139	−0.1572132	0.43069278	0.119708938	0.13204548
	4	0.60643185	−0.1677085	0.01351505	0.01269345	0.07414495	−0.2533687	−0.1990881	0.074189084	−0.00874219
	5	0.06424168	−0.0394268	0.04062341	0.10346071	0.24294981	−0.1406991	0.1530591	0.00796601	0.142324569
	6	−0.1607398	−0.0067892	−0.1142057	−0.3542569	−0.317926	0.89646875	0.19029585	−0.0777253	0.138215439
	7	−0.0249375	−0.142179	0.21181449	0.00745531	−0.0807929	−0.0606121	−0.3138917	−0.04179489	−0.08395995
	8	0.01271854	0.07904033	−0.2032421	0.30678256	−0.0970233	−0.0973761	−0.2681465	−0.26023333	−0.05748785
	9	0.15729166	0.02004037	0.08441775	0.50899351	−0.0107112	0.1654774	0.05321702	−0.55038421	−0.01142195
	10	0.45526814	0.30848224	0.03885589	−0.067078	0.03709569	−0.1103419	0.00132508	−0.0601008	−0.00809993
	11	0.00144682	−0.0160469	−0.1485655	0.07678165	−0.0117808	−0.039538	−0.1553724	0.090185082	−0.05537005