Discrete Dynamics in Nature and Society / 2022 / Article / Tab 11 / Research Article
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
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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