Research Article
Mathematical Analysis of the Prey-Predator System with Immigrant Prey Using the Soft Computing Technique
Table 32
Unknown parameters obtained by the LeNN-WOA-NM algorithm for the prey-predator model under the influence of variations in
.
| | Index | | | | | | | | | | | | |
| Case I | 1 | 0.27535144 | 0.31269649 | −0.212623 | 0.35537988 | 0.47248103 | 0.10822633 | 0.52114951 | 0.185720875 | −0.00890278 | 2 | 0.61516838 | 0.24930343 | −0.1133566 | −0.2698898 | 0.23075745 | 1.45662131 | 0.00285471 | 0.54326608 | −0.03948103 | 3 | −0.3331712 | 0.13683002 | 0.07415358 | −0.007558 | −0.1414522 | 0.00429373 | −0.2363309 | −0.53264189 | −0.12625219 | 4 | −0.1724685 | −0.1569281 | −0.1780917 | −0.0230189 | 0.06567477 | −0.1619849 | −0.07434 | 0.280494463 | 0.724308841 | 5 | 0.34235255 | 0.16601501 | 0.33779612 | 0.38214222 | 0.17206398 | 0.37567544 | 0.25394552 | −0.20424256 | 0.497829902 | 6 | 0.00647555 | −0.0671007 | 0.41848498 | 0.465563 | 0.17852399 | 0.25910001 | 0.62807088 | −0.25015769 | −0.03607794 | 7 | 0.39917241 | −0.2086423 | 0.27916279 | −0.1982513 | −0.1003214 | 0.08612276 | 0.23112207 | −0.11265536 | −0.04638131 | 8 | 0.37891578 | −0.1471092 | 0.25516272 | 0.47437651 | −0.0479726 | 0.3954123 | 0.23371466 | 0.155785232 | 0.111525519 | 9 | −0.1569822 | 0.21029864 | −0.280122 | −0.0498625 | 0.07898872 | 0.18498889 | −0.1404023 | −0.28974674 | 0.273393228 | 10 | −0.1405838 | −0.0119767 | −0.1635125 | 0.11249313 | −0.0654565 | 0.69188379 | −0.0877791 | −0.1594545 | −0.77121428 | 11 | 0.39296939 | 0.02457412 | −0.0200821 | −0.1201447 | 0.17161889 | 0.03630063 | 0.04811392 | 0.279716864 | −0.22688875 |
| Case II | 1 | 0.50105252 | 0.82536339 | 0.58045483 | 0.45518044 | −0.1160988 | −0.3093088 | 0.14735255 | 0.576552359 | 0.192127271 | 2 | 0.26141806 | 0.21796238 | 0.31815591 | −0.1676624 | 0.4234933 | −0.1614025 | 0.00975838 | 0.53917788 | 0.775847618 | 3 | −0.1877622 | −0.1568166 | −0.3859022 | 0.34192011 | −0.1162183 | 0.78757311 | 0.40990792 | −0.29126952 | 0.094655869 | 4 | 0.02599785 | −0.1764539 | 0.17491514 | 0.03149905 | 0.44911473 | −0.1695519 | −0.0583248 | −0.00447879 | −0.06289373 | 5 | −0.2923416 | −0.1065739 | 0.38764839 | 0.10732316 | −0.003522 | 0.43009606 | 0.20268435 | 0.627584449 | 0.02333884 | 6 | −0.3868009 | 0.44970016 | −0.0422409 | −0.2581683 | −0.4105199 | 0.01656808 | 0.00066793 | 0.075964394 | −0.18685644 | 7 | 0.05739953 | −0.1193984 | −0.2607123 | 0.17181358 | −0.2713628 | 0.66311474 | −0.124996 | −0.07981308 | 0.505938132 | 8 | −0.0216328 | 0.8067003 | 0.31701813 | −0.1511588 | 0.14092788 | 0.65770582 | −0.1918301 | −0.00407396 | 0.121012726 | 9 | −8.30E − 07 | −0.0664668 | −0.1168664 | 0.63180611 | −0.1478398 | −0.1592677 | 0.27026843 | 0.113142772 | 0.003053122 | 10 | 0.09718671 | −0.0187463 | −0.0760148 | −0.0444081 | 0.29980599 | 0.00951493 | −0.1584802 | −0.01177252 | 0.821398692 | 11 | 0.19396717 | 0.18738185 | −0.4407164 | −0.1400116 | −0.1519869 | 0.03850045 | 0.32211631 | −0.10616995 | 0.295182432 |
| Case III | 1 | 0.36877614 | 0.4187033 | 0.00551721 | 0.37106378 | 0.76553227 | −0.1135028 | 0.36766284 | 0.656543877 | 0.074012878 | 2 | 0.57123158 | 0.39029235 | 0.26925195 | 0.02897603 | −0.0177996 | −0.2724976 | 0.68341531 | −0.56659891 | 0.035271905 | 3 | −0.2786739 | −0.1350866 | −0.4079824 | 0.18172611 | −0.1092217 | −0.6535241 | 0.19817369 | −0.18104441 | 0.127718735 | 4 | 0.24896052 | 0.13322324 | 0.34245899 | 0.18535487 | 0.18336655 | 0.32712799 | −0.1422226 | 0.152834288 | 0.025045362 | 5 | 0.29175967 | 0.21119283 | −0.1957816 | 0.31132875 | −0.0532529 | −0.3305964 | 0.04517261 | −0.73533086 | −0.21051239 | 6 | 0.38609249 | 0.27590847 | 0.58209501 | −0.535581 | −0.1823894 | 0.31125028 | −0.0033038 | 0.082666375 | 0.323016755 | 7 | 0.01164667 | −0.1421768 | 0.24328317 | 0.26480037 | 0.02173502 | 0.07848485 | 0.61775482 | 0.231893374 | 0.074346878 | 8 | 0.59381321 | 0.06375022 | −0.3689713 | 0.35998444 | −0.0368666 | 0.32907219 | 0.14877358 | 0.143483247 | 0.3344067 | 9 | −0.2877027 | −0.0812976 | 0.58513537 | 0.11454134 | 0.04186864 | −0.3814356 | 0.28795352 | −0.00041389 | −0.13335931 | 10 | −0.3073994 | 0.0111124 | −0.0068885 | 0.04196657 | −0.127565 | 0.14629639 | −0.4081982 | 0.0030286 | 0.33443128 | 11 | 0.06421859 | −0.0919722 | 0.34881249 | −0.0684058 | −0.1412179 | 0.497947 | 0.19874151 | 0.071110753 | 0.298703303 |
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