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

Table 26

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

	Index
		Case I	1	0.29809866	−0.0315366	0.58012735	0.47297503	0.16870771	0.25422827	0.04487536	0.494241827	0.219042842
2	0.07902509		−0.142623	−0.5326572	0.29933207	0.36334065	0.40051667	0.7993046	0.01500143	0.046498829
3	0.37716273		−0.0698453	−0.5278093	−0.5919778	0.06003798	−0.6780052	−0.608852	0.609110992	0.116343672
4	0.06418686		0.24209073	0.11910483	0.29508708	−0.0084275	0.0309784	−0.0262412	−0.34143893	−0.53664746
5	−0.0499254		−0.0250403	0.05106686	0.06326291	0.38462339	0.07701417	0.12151676	0.119098177	0.09960376
6	−0.0395958		0.01489951	−0.2883484	0.08480605	0.18102453	−0.0291467	0.00187112	−0.01144597	−0.34122987
7	0.15684755		0.08609064	0.20735343	0.51895958	0.4033704	0.21052592	0.49856342	0.262653738	0.034559337
8	−0.0340164		0.04863621	0.22276639	0.04403982	0.21344694	0.31828637	0.24286503	0.043774589	0.529564847
9	−0.2519217		0.061991	0.13654615	0.1880865	0.14486401	0.37615985	0.46832364	0.174620368	0.266799487
10	0.54249116		−0.0324119	0.22565323	0.10730714	0.21764342	0.30007676	0.07731738	0.211031089	0.199472911
11	0.12904085		0.04855899	−0.4666845	0.25677349	−0.0420107	−0.1514589	−0.1778985	0.104252082	−0.3576282
Case II	1	0.22014881	−0.0955389	0.01922733	0.44099269	0.16902098	0.21058167	0.56662276	0.214534099	−0.12547843
	2	−0.510556	0.02522092	0.56596508	0.2853307	−0.0140499	0.1381917	−0.0004646	0.491829768	0.382367631
	3	−0.1657635	0.01472461	−0.1147983	0.39351912	0.21069293	−0.2685875	0.39509887	0.072673362	−0.18283919
	4	0.05282327	0.07711052	−0.2051438	0.12992756	0.19352914	0.2499045	0.43645858	0.382113573	0.058714001
	5	0.64499253	0.25762641	0.23808203	0.8495944	−0.0043216	−0.0017105	0.25457162	0.313158881	−0.13553561
	6	0.09858966	−0.0273145	0.48787987	0.09374791	0.21889407	−0.0062504	−0.1344748	0.044741355	−0.2149526
	7	0.23380371	−0.1260215	0.3289594	0.05799592	−0.333364	0.15201786	−0.4456943	−0.06976927	0.002138263
	8	0.16035874	−0.1136321	−0.0036501	0.01897557	−0.0650362	0.09091915	1.14914925	−0.03585999	0.165910127
	9	0.01683166	0.03027356	0.01366012	0.16775817	0.20057677	0.1459576	0.53828172	0.130328528	0.267951969
	10	0.26771936	0.12204652	0.2996044	−0.1152812	0.18819176	0.17111444	−0.3869172	0.095372589	−1.04663455
	11	−0.1430149	0.0042418	−0.1108715	−0.1402711	0.17676553	−0.2193704	−0.2747091	0.12544106	0.108988227
Case III	1	0.20833477	0.87977164	−0.329864	0.37497171	0.15803512	1.08685499	0.81716797	−0.8285298	0.207619724
	2	−0.009672	−0.0834121	−0.0062989	0.00506333	0.45907436	−0.2830568	−0.055188	−1.29640697	0.383186286
	3	−0.1260443	0.5466368	−0.2547923	−0.1978145	−0.3014792	0.01482453	0.16026646	−0.12624417	−0.14211688
	4	−0.0459971	−0.1850824	0.44010074	0.85262434	−0.2293558	−0.1803312	0.15934035	−0.27875907	0.925897653
	5	0.61609669	−0.0654918	−0.2249982	1.06003476	−0.0605608	0.0377206	−0.2465468	0.095037929	−0.00368046
	6	−0.4221877	0.1915771	0.29040894	−0.1447329	−0.1716272	−0.2814112	0.10252045	0.140572643	0.100666708
	7	0.12304762	−0.0412171	−0.2947437	−0.3344259	0.15047463	−0.0948965	−0.3952389	−0.18667499	0.22033229
	8	0.22471377	−0.1369576	−0.0135929	0.46118375	0.09675102	0.25499179	0.6880506	−0.04146236	−0.02009528
	9	−0.0028525	0.28384483	−0.0137988	0.86855616	0.15119596	0.43141743	−0.310849	0.177047029	0.639644264
	10	0.10012064	−0.0365188	−0.3495845	0.3752446	0.15082062	0.39737423	0.02610775	−0.11632104	0.264941005
	11	0.6577301	−0.1729186	0.28691512	−0.277895	−0.2620078	−0.3183686	0.4666604	0.182729564	−0.40213292
Case IV	1	0.27584273	0.14440132	0.05159123	−0.0014501	0.02944933	0.43857897	0.41541694	0.364106607	0.137637467
	2	1.0378582	0.22634893	−0.1336449	0.37479484	0.32390138	0.11683191	1.10634191	0.743870281	0.133721081
	3	0.30555234	0.14178372	0.09870863	0.1378461	−0.0134231	0.25235605	0.15847534	0.546747961	0.267557848
	4	0.49396717	−0.0077854	0.12863956	0.3091184	−0.0434135	0.98475694	0.07222518	−0.0015274	0.03284215
	5	0.96461172	0.48761051	0.0267945	0.4431833	0.19500184	0.28889858	0.10389701	−0.06048102	0.012779125
	6	−0.0311005	−0.2458898	0.01323704	0.39215778	0.07525855	0.0342729	−0.0239009	0.305047682	0.240819746
	7	−0.0009785	0.27803419	0.43494014	0.0813522	0.16527361	0.10128603	−0.0235703	0.131236783	0.342597408
	8	0.03245948	0.05591694	0.9180906	−0.064116	0.19286301	0.46309077	−0.0226751	0.265693128	0.191819022
	9	0.04135314	−0.0595634	−0.018826	−0.0453863	0.10473006	0.09188733	0.12139352	0.281687652	0.039757676
	10	0.06206464	0.10871955	0.21480649	0.12965376	−0.0275439	0.21169344	0.08952384	−0.23209362	−0.11227638
	11	0.41183634	−0.0123283	0.31935826	−0.0629837	0.00702969	0.08486244	0.22578589	0.194356561	0.207691077