Research Article
Mathematical Analysis of the Prey-Predator System with Immigrant Prey Using the Soft Computing Technique
Table 44
Unknown parameters obtained by the LeNN-WOA-NM algorithm for the prey-predator model under the influence of variations in
.
| | Index | | | | | | | | | | | | |
| Case I | 1 | 0.27328231 | −0.0407082 | −0.0036568 | 0.19095405 | 0.19619913 | 0.25334058 | 0.15448032 | 0.339199456 | 0.646260329 | 2 | 0.00203693 | 0.00761269 | 0.24655049 | 0.67156041 | −0.1202185 | 0.41029823 | 0.35456658 | 0.167129547 | −0.02220108 | 3 | 0.22854565 | −0.1965182 | −0.0799706 | 0.423423 | 0.03898304 | −0.1160494 | −0.1932211 | 0.327298457 | 0.589634109 | 4 | 0.43068766 | −0.0047135 | −0.0067749 | 0.7614451 | 0.24436812 | 0.10386 | 0.45804558 | −0.10504105 | 0.096632479 | 5 | 0.42381358 | −0.1502652 | 0.51827442 | 0.10757996 | 0.24696908 | 0.11302049 | −0.0490828 | 0.054497193 | 0.541464355 | 6 | 0.03064345 | 0.387909 | −0.0908338 | 0.20021796 | −0.1093334 | 0.49803749 | 0.08502235 | 0.292312181 | 0.168951799 | 7 | −0.0256272 | 0.18134944 | 0.04903339 | −0.1439181 | 0.01678089 | 0.01522287 | 0.12228645 | 0.040610745 | 0.504241595 | 8 | −0.0029234 | 0.05369165 | 0.16118629 | 0.09238371 | 0.35203171 | −0.0742458 | 0.58296355 | 0.326394622 | 0.311232469 | 9 | 0.01433551 | −0.0062826 | 0.11461784 | 0.00070281 | 0.08170655 | 0.27442616 | −0.0624975 | 0.046728012 | −0.00253833 | 10 | 0.52132655 | −0.0745824 | 0.32373133 | 0.31625889 | 0.06469584 | 0.35518716 | 0.43265994 | 0.001675421 | −0.07508196 | 11 | 0.04700892 | −0.1431138 | 0.19096034 | 0.61086683 | 0.05879562 | 0.07145247 | 0.31602732 | 0.294568546 | 0.005492958 |
| Case II | 1 | 0.22888098 | 0.15662727 | 0.72118398 | 0.66396301 | 0.48400554 | −0.0014987 | 0.2930431 | −0.36246252 | −0.19827556 | 2 | 0.32039169 | 0.21349716 | 0.26632024 | −0.1848203 | −0.0673308 | −0.0648246 | 0.13125299 | 0.041657028 | 0.029954374 | 3 | −0.0829388 | 0.03094832 | 0.00303522 | 0.62951247 | −0.1925438 | 0.24736655 | −0.1963121 | 0.431531435 | 0.708095767 | 4 | −0.1658907 | −0.1447463 | −0.6955688 | −0.232498 | −0.2616095 | 0.27025227 | 0.22782911 | −0.28937041 | −0.12994496 | 5 | −0.0174758 | 0.23215182 | 0.04290016 | 0.12334482 | −0.2128439 | −0.0360696 | −0.1459274 | 0.143383282 | 0.127654212 | 6 | −0.0712296 | −0.3626918 | −0.0348668 | 0.2600438 | 0.13168403 | 0.45131095 | 0.73463526 | −0.09109894 | 0.100058657 | 7 | −0.0244551 | −0.0112202 | −0.1246274 | −0.3445732 | 0.31169855 | −0.0680798 | 0.14809738 | 0.029526212 | 0.176039899 | 8 | −0.2963948 | 0.27684365 | 0.02435043 | −0.1570692 | −0.1058024 | 0.01048308 | −0.0287022 | 0.052204737 | 0.500290252 | 9 | −0.0250215 | −0.1024261 | 0.05651485 | 0.61926963 | −0.205578 | 0.43411127 | −0.3748423 | 0.146360873 | −0.41978655 | 10 | −0.2847311 | 0.13336075 | −0.0903463 | −0.1464593 | −0.3554768 | −0.0475072 | 0.16657978 | −0.04184543 | −0.04410262 | 11 | −0.0012914 | 0.02947063 | −0.2027891 | −0.0119255 | 0.47238101 | 0.09448735 | 0.42979806 | −0.05005385 | −0.00793862 |
| Case III | 1 | 0.17136911 | −0.6220119 | −0.0659451 | 0.16001338 | 0.06604026 | −0.6259462 | 0.41743442 | 0.34745146 | 0.123402726 | 2 | 0.13248093 | 0.22407198 | 0.16846536 | −0.0174004 | 0.46048206 | 0.16172196 | 0.6363567 | 0.027892663 | 0.349217115 | 3 | −0.029666 | 0.0085174 | −0.4187633 | −0.0573402 | 0.29673852 | 0.13113638 | −0.7934564 | −0.18170045 | 0.087257639 | 4 | 0.50916399 | 0.04634821 | −0.1437019 | 0.08923057 | −0.2567021 | −0.2934746 | 0.26333479 | −0.21308607 | −0.02505351 | 5 | 0.28783823 | −0.2662163 | 0.0766028 | 0.09914485 | 0.57665811 | 0.04300083 | 0.20662283 | −0.48985711 | −1.09740743 | 6 | 0.08917337 | −0.1050009 | 0.23818256 | 0.02035607 | −0.1072192 | 0.2659477 | −0.0029764 | −0.13148311 | 0.313665366 | 7 | −0.7503685 | −0.1704471 | 0.18719634 | −0.0233035 | −0.0088938 | 0.26343414 | −1.0737247 | −0.19018699 | 0.280100524 | 8 | 0.34230089 | 0.00558946 | −0.1427919 | −0.2957063 | −0.6490481 | 0.10546459 | 0.27322547 | 0.041606539 | −0.10278157 | 9 | 0.25879736 | 0.21953927 | 0.11052919 | 0.00206003 | −0.0680416 | −0.2189914 | 0.0378666 | 0.055450179 | −0.26693807 | 10 | 0.11482869 | 0.04256621 | 0.24740165 | −1.0210288 | 0.10826852 | 0.1081171 | 0.28972162 | 0.107963625 | −0.01416421 | 11 | 0.21645891 | 0.26405307 | −0.2682646 | −0.0251217 | 0.2673504 | −0.2407415 | −0.3201356 | −0.12644907 | 0.363928738 |
| Case IV | 1 | 0.16321044 | 1.00101739 | 0.44610851 | 0.19117524 | −0.1869131 | 0.03284449 | 0.48709406 | 0.492839005 | 0.068811431 | 2 | 0.05034014 | 0.27448502 | 0.05595427 | 0.34759862 | −0.0428559 | −0.4656632 | 0.41211291 | 0.550350162 | 0.261254457 | 3 | 0.02309873 | 0.00700133 | −0.3300406 | −0.032857 | −0.2059139 | −0.1572132 | 0.43069278 | 0.119708938 | 0.13204548 | 4 | 0.60643185 | −0.1677085 | 0.01351505 | 0.01269345 | 0.07414495 | −0.2533687 | −0.1990881 | 0.074189084 | −0.00874219 | 5 | 0.06424168 | −0.0394268 | 0.04062341 | 0.10346071 | 0.24294981 | −0.1406991 | 0.1530591 | 0.00796601 | 0.142324569 | 6 | −0.1607398 | −0.0067892 | −0.1142057 | −0.3542569 | −0.317926 | 0.89646875 | 0.19029585 | −0.0777253 | 0.138215439 | 7 | −0.0249375 | −0.142179 | 0.21181449 | 0.00745531 | −0.0807929 | −0.0606121 | −0.3138917 | −0.04179489 | −0.08395995 | 8 | 0.01271854 | 0.07904033 | −0.2032421 | 0.30678256 | −0.0970233 | −0.0973761 | −0.2681465 | −0.26023333 | −0.05748785 | 9 | 0.15729166 | 0.02004037 | 0.08441775 | 0.50899351 | −0.0107112 | 0.1654774 | 0.05321702 | −0.55038421 | −0.01142195 | 10 | 0.45526814 | 0.30848224 | 0.03885589 | −0.067078 | 0.03709569 | −0.1103419 | 0.00132508 | −0.0601008 | −0.00809993 | 11 | 0.00144682 | −0.0160469 | −0.1485655 | 0.07678165 | −0.0117808 | −0.039538 | −0.1553724 | 0.090185082 | −0.05537005 |
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