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

Table 20

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

	Index
		Case I	1	0.43006915	0.1953118	0.58526278	0.2039733	1.09461748	−0.3042383	0.45137375	0.613472621	0.21300391
2	−0.1817023		0.12967851	−0.2238481	−0.1299324	−0.2205129	−0.2434037	0.89383923	0.347571185	0.192691905
3	−0.1639676		−0.1906971	0.01654308	−0.2683275	0.21586942	−0.0650826	0.15826136	−0.38637064	0.544846185
4	0.6432707		−0.2243964	−0.0644709	−0.1415483	0.00139286	−0.1221445	0.21055624	−0.28460075	0.325283188
5	−0.063381		0.20479542	−0.0837701	0.37097529	−0.2551801	−0.1457444	0.85822173	−0.35898385	0.095809867
6	−0.0587215		0.09571579	−0.2151334	0.23857131	0.30661251	0.34850165	−0.005745	0.620231649	0.59934855
7	0.31197992		−0.0344083	−0.0542888	0.01997741	−0.1641653	−0.0515449	0.00074005	0.000287462	−0.37381232
8	0.85365924		−0.0169789	0.25572233	0.80492801	−0.0023113	−0.2852425	−0.0522238	−0.2275238	0.146324864
9	−0.2837938		−0.069528	−0.2221892	0.31692949	0.34731804	−0.0409553	−0.168709	−0.12570174	0.029229593
10	−0.2720053		−0.0083273	0.71303279	0.0130666	0.04347241	0.10490579	1.16491711	−0.14620103	0.240782136
11	0.0232457		0.04413909	0.57180799	−0.3961779	0.13805184	−0.0250827	0.1189892	−0.09976743	0.676863876
Case II	1	0.20084257	0.01848105	0.01151112	0.18834185	0.07714385	1.00199221	0.33090711	0.591954522	0.172081801
	2	0.77731512	0.20280783	−0.1534665	−0.0898678	−0.0222164	0.05097659	0.39013928	−0.16168208	−0.87414288
	3	−0.8932687	0.01562423	−0.8790331	−0.8785872	−0.2400978	0.01126939	0.62600687	−0.07469029	0.293200012
	4	−0.1254086	0.08769516	−0.4580886	−0.2608019	−0.0870728	0.23316388	0.49916445	−0.27253148	−0.00841655
	5	0.05410689	−0.0916165	−0.4295043	−0.5942252	−0.0340513	0.03471072	−0.0634013	−0.11877784	−0.77212021
	6	0.22564844	0.11645954	−0.0194417	0.06716894	−0.0067884	−0.2770185	−0.3074844	−0.17361157	−0.02940934
	7	0.25778166	0.02802331	0.32826015	0.0874406	−0.9239147	0.5776072	0.12893563	−0.07494518	0.101314911
	8	−0.6152252	0.08467719	−0.005507	−0.0016885	0.26959676	0.00027392	0.01072972	−0.05967189	0.794011281
	9	−0.4916591	0.03423008	0.35221385	0.1673546	0.20097946	0.03970559	−0.5329031	0.05685715	0.093143062
	10	0.09372071	0.45237283	−0.4270023	0.12270954	0.01633451	−0.0244912	0.32114085	−0.08529571	0.896172613
	11	1.84E − 05	−0.1783898	−0.0967566	−0.032303	−0.3339006	−0.0531862	0.05299049	0.00250836	0.0227459
Case III	1	0.32865927	0.73232241	−0.0426226	0.3680448	0.12592558	−0.1711813	0.6895093	0.365675977	0.1815117
	2	0.06352326	0.01615348	0.71943001	0.02765614	0.5770961	0.12508308	0.72579383	0.234207148	0.278978323
	3	0.05902058	0.74414566	−0.0387953	−0.1285802	0.0259792	0.02360138	−0.0390772	0.334378871	0.373885739
	4	0.01672986	0.30780827	−0.0305187	0.76478835	0.00922025	−0.0003176	0.39416458	−0.14105866	0.231267475
	5	0.16886906	0.16663601	−0.1557756	0.14372478	−0.0053584	0.39867936	0.53867137	0.083576797	−0.0930085
	6	−0.1209806	−0.3749588	0.21620292	0.04682217	0.16582226	−0.1813835	0.31094709	−0.11844016	0.003817292
	7	−0.0756049	0.26868517	0.11232029	0.21554735	0.08172268	0.33302842	0.25825317	0.129740332	−0.27092193
	8	0.17875086	−0.0130043	0.7761683	−0.2683637	−0.0568285	0.08575422	−0.3405182	0.078523738	−0.1038394
	9	0.52179302	0.03458665	0.06475427	0.06956231	0.25072313	0.02715948	0.25907261	0.038549325	−0.02300298
	10	0.44795101	0.14647434	0.16811506	−0.0008598	0.31689128	0.21717058	0.55924027	0.030536512	−0.63332453
	11	0.07886187	−0.1241851	0.13943947	0.01341213	−0.6267738	0.34912288	−0.1931707	−0.01298631	0.579458203
Case IV	1	0.36926007	0.34021884	−0.0935731	0.16169213	0.09246816	1.38553805	0.44058544	0.499926759	0.127460796
	2	0.32481477	0.21004215	0.17360292	0.06611299	−0.152444	0.17230255	0.4871752	0.240390062	−0.13247269
	3	−0.1570069	0.04398714	−0.1372116	0.10393927	0.27712388	0.21929305	0.35934559	0.072436543	0.599680184
	4	0.10042725	−0.0405233	−0.0276124	0.00768115	−0.1152797	0.46671001	0.32697635	0.218813803	0.11578542
	5	0.2981599	0.07895408	0.05929431	−0.2575791	0.18210718	0.27949753	0.11208642	−0.13550479	−0.19303355
	6	0.01774278	0.0794438	0.34301322	0.3079287	−0.0288429	0.35285173	0.08051491	−0.0383289	0.301524551
	7	0.15448802	−0.0290092	0.37921177	0.40577398	0.02317734	0.19760018	0.5453665	0.190128144	0.134972259
	8	0.07303209	0.08335033	−0.0272924	−0.0268407	0.11495061	0.17565862	0.14548013	0.050459546	0.999559566
	9	0.06638016	0.09365192	0.46046701	0.31157149	0.24788627	0.39745699	0.14745623	−0.0203899	0.11010541
	10	0.14574411	0.27019012	0.08964107	−0.013653	0.6999887	0.14706426	0.14311693	0.085587473	0.406653134
	11	0.00422723	−0.0202326	0.09754264	4.84E − 05	0.01130254	0.4544351	0.20276643	−0.02176553	0.041899718
Case V	1	0.41668155	0.55141417	0.31705647	0.53356928	−2.0883662	−0.2610704	0.24747335	−0.49568348	0.15116601
	2	0.28111104	0.29873199	0.12415861	0.01035183	0.3912644	−0.2250856	0.11463835	0.572594198	0.639529712
	3	−0.2880051	0.47632466	0.02148248	0.42831754	0.25753792	−0.1067969	0.49570912	−0.56574524	0.140211616
	4	0.28382154	0.07492232	0.25762031	−0.0051616	0.449995	−0.2583676	0.00862342	0.042826998	−0.24532638
	5	−0.1828993	0.05610035	0.41157899	0.10823296	−0.0022137	0.43840826	0.14531787	0.504082565	0.073357981
	6	−0.3536545	0.4045564	0.05410188	−0.1039612	−0.4487177	0.18545137	0.00207541	0.071838234	−0.18198509
	7	0.23523025	−0.1197378	0.22737042	0.27683837	−0.4502542	0.53741643	−0.1929315	0.094579762	0.334936445
	8	−0.0101984	0.60796793	0.06730913	−0.0740784	0.1513789	0.63740825	−0.3265244	−0.27219855	0.235174666
	9	−0.0038892	−0.3239558	0.10405389	0.41194902	0.01303423	−0.058557	0.25579472	0.192432911	−0.11924924
	10	0.20983244	0.24683053	0.09135039	0.0475623	0.44987648	−0.0005977	−0.2977078	0.013114946	0.599953402
	11	0.17699185	0.19078854	−0.4635923	−0.0023057	−0.2080841	0.13883293	0.21279433	−0.19995201	0.280170884