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

Table 11

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

	Index
		Case I	1	0.24298626	−0.2668655	0.09328582	0.17524653	0.0657111	0.45518402	0.62050563	0.107119458	−0.184535
2	0.12478022		0.39026984	0.13404058	−0.1205176	−0.504835	−0.152368	0.29193615	−0.06286814	0.043174485
3	0.15946384		0.47205052	0.04884412	−0.0142591	−0.0346883	0.98886623	0.09715236	0.181551811	0.868732734
4	0.01120683		0.24610287	−0.2837988	0.14946792	0.16097393	−0.074499	0.46391737	−0.16073035	0.113397979
5	−0.022669		0.0943905	0.0992974	0.34191594	0.58292848	0.00959628	0.06797262	−0.11244358	0.013444379
6	−0.3216158		0.1410155	0.18325041	0.03228638	0.70287879	0.12845754	−0.1361841	0.158063474	−0.05836861
7	0.48768209		0.0293772	0.17094612	−0.0018354	0.14860632	0.65130564	0.67663964	0.314984108	0.261128949
8	0.08329406		0.04117897	−0.0205859	−0.1064367	−0.1326281	−0.0481534	−0.0486244	−0.33359642	0.564727586
9	0.87211207		−0.0743821	0.18882808	0.69221376	−0.1213543	0.01584571	0.00730463	−0.07959673	0.248981123
10	0.74644658		0.01575884	0.17044653	0.13151592	0.13622307	0.26101806	−0.1087744	−0.09419355	−32.2098458
11	0.26313561		0.09923455	−0.0506162	0.01009165	0.13795634	0.05968636	0.42506235	0.302798399	0.094716386
Case II	1	0.33259121	−0.3657449	0.21062276	0.25900442	0.15918437	0.41026629	0.29040796	−1.70842597	−0.22039024
	2	0.17889024	−0.0431343	−0.6411116	0.23110108	0.42625725	0.08496042	−0.0683335	−0.01537247	0.252533232
	3	0.07297637	0.1667513	−0.0811545	−0.2048892	−0.1120065	−0.0826385	−0.6647359	−0.16394699	−0.00997236
	4	−0.1365861	0.47090897	−0.0639777	3.43E − 05	0.1546024	−0.178235	0.4646494	0.190521738	0.195440966
	5	−0.007358	0.13102291	0.24249896	−0.1088503	−0.1671249	0.16954851	−0.7315874	−0.03059029	−0.07106493
	6	0.43362447	−0.155685	0.44563542	0.22079963	−0.6459135	−0.0878247	−0.5471167	−0.36068591	−0.90966495
	7	−0.4072594	0.43108895	−0.0973015	0.00859421	0.19519171	0.05831302	0.00294865	−0.03440871	0.372338435
	8	−0.015323	−0.0127997	−0.079715	0.41948941	−0.2878455	0.21735868	−0.839503	−0.04815065	0.025011228
	9	0.26217328	0.20028492	0.2222801	−0.1630391	0.17520391	0.0974704	0.34891726	−0.13212935	−0.1419514
	10	0.09242525	0.19371262	−0.1574267	0.34189851	0.28434772	0.08494461	0.46694404	−0.12329874	39.39674102
	11	0.13225195	−0.0846055	−0.0281568	0.14217372	0.31887231	0.42910377	0.26716207	0.088173159	0.085561799
Case III	1	0.08792719	−0.02998	1.2174462	0.69165686	0.06374932	−0.0488322	0.11491028	0.090075909	−0.32604325
	2	0.11610049	1.56406569	0.0795106	−0.0902964	0.09097774	−0.1017928	0.06371619	0.492255996	0.406557357
	3	0.03262421	−0.2983161	0.4361223	0.71023061	0.27130756	0.53574029	0.74546663	0.731579954	−0.11925334
	4	−0.8534256	0.27102507	0.09970798	−0.4630868	0.19588223	0.25655668	−0.1733402	0.4924538	−0.02738845
	5	−0.4373573	0.06892556	0.11113751	0.22424973	0.18678342	−0.0095592	0.13860986	0.342147207	−0.12816846
	6	0.85585046	−0.0086572	0.70804298	0.16532453	0.46387591	0.19167055	−0.4155845	0.358174513	0.519586436
	7	0.4731327	−0.0131084	0.53818072	0.00107541	−0.2371714	0.21538868	0.27067076	0.007722887	−0.11651201
	8	−0.1730569	−0.0542656	1.00463015	0.33304716	0.42111507	0.54031591	−0.0982948	−0.30964889	0.225264957
	9	0.01950551	0.3195719	−0.1781725	0.00222254	−0.0527906	0.33879162	0.14536108	0.185060402	0.022547703
	10	−0.2758316	0.27171296	−0.0428651	0.07565986	0.29894632	−0.1182305	0.19684946	0.626442716	0.062105445
	11	0.28574702	−0.2628512	0.06102257	0.04403502	0.22414615	0.40364307	0.55206157	0.429077344	−0.00256072
Case IV	1	0.25369644	−0.4777306	−0.8361847	−0.0621264	0.27351167	−0.6065099	0.68147388	−1.43275825	−0.10932386
	2	0.06991497	−0.1139906	−0.4735192	−0.5854725	−0.1661107	0.07770566	−0.2460336	0.052462785	0.191077917
	3	−0.2351744	−0.4870632	−0.0716903	−0.2556044	9.83E − 05	0.02156199	−0.3140772	−0.4208503	−0.13182798
	4	−0.0489805	0.03121692	−0.2705836	−0.2176759	−0.3388043	−0.1570093	−0.2947292	0.000861238	0.091135849
	5	0.12066069	0.00528409	−0.1876653	0.18129324	−0.2476741	−0.0843931	0.33223353	0.037877215	0.552486838
	6	−0.2917694	0.09885985	−0.655587	−0.5821936	0.02484774	−0.2678441	−0.1209825	0.019527337	−0.2041232
	7	0.2180106	0.10156035	−0.0839076	−0.0408137	0.20227179	0.08783601	−1.1472874	0.088467804	−0.1006823
	8	−0.3594382	−0.0329465	−0.0085748	−0.076245	0.071221	−0.2677479	−0.6912671	0.072673015	−0.60129414
	9	0.12647778	−0.0321146	−0.1925977	−0.1982251	−0.1306954	−0.4290151	−0.4035842	−0.01597822	−0.09388657
	10	−0.7218529	−0.127281	−0.253891	−0.520109	−0.148345	−0.1301849	0.45904036	−0.14555693	0.210878261
	11	−0.0415557	−0.0626802	−0.0135924	−0.2376142	−0.2602334	0.31718881	−0.0300309	−0.07780308	0.119273654
Case V	1	0.11535169	0.09331411	0.06459598	0.13708955	0.02523131	0.14440187	0.53678594	0.289671331	0.265496244
	2	1.2018728	0.66566882	−0.0195754	0.55314202	0.20920125	0.53535701	0.3092534	0.73571248	0.320987524
	3	0.20319881	−0.8256885	1.09540267	0.09636349	0.12623634	−0.1361461	0.29987708	−0.14730456	−0.1852485
	4	0.0272977	0.50122086	−0.2264851	−0.0410539	0.34541103	−0.1572514	0.88612589	0.219231183	0.296041826
	5	0.13436663	0.09124816	0.31502947	0.03670816	−0.2842128	0.28047538	0.30493881	0.228728298	−0.83846218
	6	0.59090535	0.2219209	0.35836933	0.13287532	0.07279467	0.5746159	0.05242013	0.22070811	0.059736502
	7	0.57147768	0.17459027	0.74963519	0.96594705	0.18063006	−0.2505621	0.11584087	−0.02191061	0.160702925
	8	0.14083549	0.5151422	0.06170226	0.18189487	0.19412865	0.22132998	0.9645296	−0.15578224	0.422131366
	9	−0.0987012	−0.3447324	0.30547697	0.22752865	0.56631904	0.08438966	0.0392108	−0.15270349	0.520225963
	10	0.05337954	0.38978704	0.32410767	0.04067255	0.40603952	0.21526779	−0.0360576	−0.00016971	−1.80718751
	11	0.16882868	0.42247401	0.06696436	−0.0534127	0.38690363	0.40861018	−0.1032548	0.039874898	0.21583529