Discrete Dynamics in Nature and Society / 2022 / Article / Tab 26 / Research Article
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