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

Table 38

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

	Index
		Case I	1	0.10433411	−0.9093816	−0.0551384	0.10814164	−0.0975817	−0.4024759	0.11057901	0.030277215	−0.07683093
2	−0.1015821		−0.2339063	0.11183609	−0.0079649	0.12409457	−0.0066366	0.03120447	0.065984151	0.169815479
3	−0.1732219		0.05666544	−0.3418627	−0.1576219	0.20511634	0.23158339	−0.3370419	−0.15418238	0.194154313
4	0.2870666		0.04587599	−0.075017	0.0317597	−0.1567915	−0.2960607	0.12661418	0.176984003	−0.08307132
5	0.18918051		−0.2634862	0.09296959	0.17712714	0.06690293	0.05596124	0.06180474	−0.14442377	−0.98944725
6	0.08011991		−0.0241843	0.04384194	0.09323427	−0.1029541	0.30404503	−0.1508149	−0.05051503	0.191092976
7	−0.4734878		−0.1888967	0.13971948	0.24925106	0.00225215	0.00501846	−0.9616715	−0.19702187	0.011340631
8	0.19753354		−0.0151743	−0.0358307	−0.2646482	−0.4318811	−0.2034545	−0.0870373	−0.08872014	0.079363347
9	0.07352321		0.04374259	0.17641082	−0.004594	−0.0709633	−0.188571	0.01228411	0.051586673	−0.1707669
10	0.05966701		−0.009466	0.11306597	−1.0101745	−0.1195556	0.30440396	−0.16551	0.072728886	0.05362364
11	0.24419278		0.21523627	0.12501506	0.10887851	0.12112026	−0.1899001	−0.157371	−0.15906121	0.128530508
Case II	1	0.42562436	0.22405135	0.02503956	0.35262391	−0.2253664	0.26259455	0.27111686	0.328796691	0.228927872
	2	0.41666988	0.5078151	−0.1889093	0.12171391	0.20998105	0.3804858	0.30390747	0.389116532	0.460701796
	3	0.10577695	0.06002846	0.21768786	−0.5393398	0.39027559	0.13902226	0.47350419	0.465419864	0.661970007
	4	0.46517407	0.09698879	−0.1633478	0.11014297	0.19739907	0.6654931	0.05604469	−0.00392697	0.278777394
	5	0.60100029	0.01932057	0.56830498	0.2354314	0.41404057	0.20437334	−0.1267241	−0.13128894	0.293844939
	6	0.08127736	0.10628146	0.38610942	0.23539962	0.17187529	0.38579085	0.35225137	0.067649428	0.188489281
	7	0.35498411	0.04490212	0.04900664	0.06476587	0.35238074	0.50235806	0.36253639	0.203702979	−0.0792048
	8	0.38497077	0.01823575	0.34815044	−0.0755594	0.49478279	0.38035495	0.16102938	−0.12482814	0.340540011
	9	−0.0561765	0.73291315	−0.1890215	0.0053794	−0.4438896	0.46641096	0.2889986	−0.01721494	0.103497157
	10	−8.42E − 05	−0.0191478	0.33057513	0.01138671	0.21012745	0.28013928	0.41790512	0.011022434	0.111373073
	11	0.03758884	−0.0090962	0.29841949	0.06181435	0.28211233	0.1044331	0.76029441	−0.05305741	0.400559476
Case III	1	0.34210927	−0.1686215	−0.0637152	0.23427117	0.25285975	0.39214738	0.26900094	0.565520288	0.485240258
	2	−0.0413096	−0.0081301	0.10614537	0.60106519	−0.0765896	0.42188566	0.34146251	0.575583706	0.081232416
	3	0.29904262	−0.075813	−0.1967563	0.45939119	0.15935586	−0.0737513	−0.0371428	0.395780195	0.526025075
	4	0.31966978	−0.0296846	0.13492819	0.74449918	0.13823099	0.14733057	0.31296573	0.170356341	0.449030416
	5	0.38511171	0.02742915	0.19245868	0.17480946	0.26067733	0.19256129	−0.1966744	0.026652715	0.648556737
	6	0.15405406	−0.085595	0.03900298	0.20316026	−0.0939363	0.36999635	0.14116303	0.18349354	0.157284014
	7	0.01160236	0.19042424	−0.0099165	−0.1955586	−0.0145249	0.5115481	0.09234283	0.050183053	0.529576694
	8	−0.0119424	−0.0017222	0.19894821	−0.0459019	0.16995456	0.09912122	0.44277162	0.268197932	0.360452198
	9	−0.013509	0.02826738	0.13366696	−0.0986121	0.12555621	0.29387726	−0.0351511	0.15868406	−0.02656018
	10	0.36233153	−0.0504481	0.46422188	0.33154131	0.04488349	0.44423777	0.18233457	0.002699819	0.25017744
	11	0.20780852	0.06187582	0.19012834	0.47309423	−0.0001455	0.28544612	0.32655747	0.232204493	0.038376682
Case IV	1	0.08743197	−0.0274586	0.13838454	0.10216597	−0.6205394	−1.1625473	0.08890874	−0.46821489	0.031906641
	2	0.85138918	−0.2596089	0.27697631	−0.0395679	−0.3190484	0.47807164	−1.0766899	0.194522468	0.051473955
	3	0.32484395	−0.0320128	0.04910259	0.59721285	−0.7402654	−0.5159275	−0.5457082	0.584514565	0.334208342
	4	1.26539529	0.0637656	−0.3298542	0.00746795	0.12675579	−0.2119938	0.0689466	0.078060063	0.341243622
	5	0.27124475	−0.0145706	−0.8795409	−0.2258574	−1.0489144	0.18138843	−0.7172783	−0.44654588	0.288352353
	6	−0.0615221	−0.0357181	0.05167451	−0.0093528	−0.9076303	0.00529929	0.11164685	0.084161905	0.021304977
	7	−0.9330419	0.00587016	0.08238699	−0.0038462	0.5318456	−0.0029243	−0.5624983	0.07126723	−0.07194593
	8	−0.2222851	0.15964489	0.15929347	0.02677628	−0.0859581	0.71257834	−0.1564259	0.011627909	−0.01141564
	9	−0.0746732	0.03595603	−0.1688295	0.91853869	0.0432707	−0.1996406	0.9708232	−0.20718687	0.491048316
	10	0.11105985	0.03339826	−0.0412419	−0.9111904	−0.0757299	0.38318296	0.14046109	0.068233399	0.447903219
	11	−0.9956577	−0.0325751	0.95862042	0.01858614	−0.0328286	0.2342197	−0.8047726	−0.03547963	0.018056695