Research Article
Mathematical Analysis of the Prey-Predator System with Immigrant Prey Using the Soft Computing Technique
Table 38
Unknown parameters obtained by the LeNN-WOA-NM algorithm for the prey-predator model under the influence of variations in
.
| | Index | | | | | | | | | | | | |
| Case I | 1 | 0.10433411 | −0.9093816 | −0.0551384 | 0.10814164 | −0.0975817 | −0.4024759 | 0.11057901 | 0.030277215 | −0.07683093 | 2 | −0.1015821 | −0.2339063 | 0.11183609 | −0.0079649 | 0.12409457 | −0.0066366 | 0.03120447 | 0.065984151 | 0.169815479 | 3 | −0.1732219 | 0.05666544 | −0.3418627 | −0.1576219 | 0.20511634 | 0.23158339 | −0.3370419 | −0.15418238 | 0.194154313 | 4 | 0.2870666 | 0.04587599 | −0.075017 | 0.0317597 | −0.1567915 | −0.2960607 | 0.12661418 | 0.176984003 | −0.08307132 | 5 | 0.18918051 | −0.2634862 | 0.09296959 | 0.17712714 | 0.06690293 | 0.05596124 | 0.06180474 | −0.14442377 | −0.98944725 | 6 | 0.08011991 | −0.0241843 | 0.04384194 | 0.09323427 | −0.1029541 | 0.30404503 | −0.1508149 | −0.05051503 | 0.191092976 | 7 | −0.4734878 | −0.1888967 | 0.13971948 | 0.24925106 | 0.00225215 | 0.00501846 | −0.9616715 | −0.19702187 | 0.011340631 | 8 | 0.19753354 | −0.0151743 | −0.0358307 | −0.2646482 | −0.4318811 | −0.2034545 | −0.0870373 | −0.08872014 | 0.079363347 | 9 | 0.07352321 | 0.04374259 | 0.17641082 | −0.004594 | −0.0709633 | −0.188571 | 0.01228411 | 0.051586673 | −0.1707669 | 10 | 0.05966701 | −0.009466 | 0.11306597 | −1.0101745 | −0.1195556 | 0.30440396 | −0.16551 | 0.072728886 | 0.05362364 | 11 | 0.24419278 | 0.21523627 | 0.12501506 | 0.10887851 | 0.12112026 | −0.1899001 | −0.157371 | −0.15906121 | 0.128530508 |
| Case II | 1 | 0.42562436 | 0.22405135 | 0.02503956 | 0.35262391 | −0.2253664 | 0.26259455 | 0.27111686 | 0.328796691 | 0.228927872 | 2 | 0.41666988 | 0.5078151 | −0.1889093 | 0.12171391 | 0.20998105 | 0.3804858 | 0.30390747 | 0.389116532 | 0.460701796 | 3 | 0.10577695 | 0.06002846 | 0.21768786 | −0.5393398 | 0.39027559 | 0.13902226 | 0.47350419 | 0.465419864 | 0.661970007 | 4 | 0.46517407 | 0.09698879 | −0.1633478 | 0.11014297 | 0.19739907 | 0.6654931 | 0.05604469 | −0.00392697 | 0.278777394 | 5 | 0.60100029 | 0.01932057 | 0.56830498 | 0.2354314 | 0.41404057 | 0.20437334 | −0.1267241 | −0.13128894 | 0.293844939 | 6 | 0.08127736 | 0.10628146 | 0.38610942 | 0.23539962 | 0.17187529 | 0.38579085 | 0.35225137 | 0.067649428 | 0.188489281 | 7 | 0.35498411 | 0.04490212 | 0.04900664 | 0.06476587 | 0.35238074 | 0.50235806 | 0.36253639 | 0.203702979 | −0.0792048 | 8 | 0.38497077 | 0.01823575 | 0.34815044 | −0.0755594 | 0.49478279 | 0.38035495 | 0.16102938 | −0.12482814 | 0.340540011 | 9 | −0.0561765 | 0.73291315 | −0.1890215 | 0.0053794 | −0.4438896 | 0.46641096 | 0.2889986 | −0.01721494 | 0.103497157 | 10 | −8.42E − 05 | −0.0191478 | 0.33057513 | 0.01138671 | 0.21012745 | 0.28013928 | 0.41790512 | 0.011022434 | 0.111373073 | 11 | 0.03758884 | −0.0090962 | 0.29841949 | 0.06181435 | 0.28211233 | 0.1044331 | 0.76029441 | −0.05305741 | 0.400559476 |
| Case III | 1 | 0.34210927 | −0.1686215 | −0.0637152 | 0.23427117 | 0.25285975 | 0.39214738 | 0.26900094 | 0.565520288 | 0.485240258 | 2 | −0.0413096 | −0.0081301 | 0.10614537 | 0.60106519 | −0.0765896 | 0.42188566 | 0.34146251 | 0.575583706 | 0.081232416 | 3 | 0.29904262 | −0.075813 | −0.1967563 | 0.45939119 | 0.15935586 | −0.0737513 | −0.0371428 | 0.395780195 | 0.526025075 | 4 | 0.31966978 | −0.0296846 | 0.13492819 | 0.74449918 | 0.13823099 | 0.14733057 | 0.31296573 | 0.170356341 | 0.449030416 | 5 | 0.38511171 | 0.02742915 | 0.19245868 | 0.17480946 | 0.26067733 | 0.19256129 | −0.1966744 | 0.026652715 | 0.648556737 | 6 | 0.15405406 | −0.085595 | 0.03900298 | 0.20316026 | −0.0939363 | 0.36999635 | 0.14116303 | 0.18349354 | 0.157284014 | 7 | 0.01160236 | 0.19042424 | −0.0099165 | −0.1955586 | −0.0145249 | 0.5115481 | 0.09234283 | 0.050183053 | 0.529576694 | 8 | −0.0119424 | −0.0017222 | 0.19894821 | −0.0459019 | 0.16995456 | 0.09912122 | 0.44277162 | 0.268197932 | 0.360452198 | 9 | −0.013509 | 0.02826738 | 0.13366696 | −0.0986121 | 0.12555621 | 0.29387726 | −0.0351511 | 0.15868406 | −0.02656018 | 10 | 0.36233153 | −0.0504481 | 0.46422188 | 0.33154131 | 0.04488349 | 0.44423777 | 0.18233457 | 0.002699819 | 0.25017744 | 11 | 0.20780852 | 0.06187582 | 0.19012834 | 0.47309423 | −0.0001455 | 0.28544612 | 0.32655747 | 0.232204493 | 0.038376682 |
| Case IV | 1 | 0.08743197 | −0.0274586 | 0.13838454 | 0.10216597 | −0.6205394 | −1.1625473 | 0.08890874 | −0.46821489 | 0.031906641 | 2 | 0.85138918 | −0.2596089 | 0.27697631 | −0.0395679 | −0.3190484 | 0.47807164 | −1.0766899 | 0.194522468 | 0.051473955 | 3 | 0.32484395 | −0.0320128 | 0.04910259 | 0.59721285 | −0.7402654 | −0.5159275 | −0.5457082 | 0.584514565 | 0.334208342 | 4 | 1.26539529 | 0.0637656 | −0.3298542 | 0.00746795 | 0.12675579 | −0.2119938 | 0.0689466 | 0.078060063 | 0.341243622 | 5 | 0.27124475 | −0.0145706 | −0.8795409 | −0.2258574 | −1.0489144 | 0.18138843 | −0.7172783 | −0.44654588 | 0.288352353 | 6 | −0.0615221 | −0.0357181 | 0.05167451 | −0.0093528 | −0.9076303 | 0.00529929 | 0.11164685 | 0.084161905 | 0.021304977 | 7 | −0.9330419 | 0.00587016 | 0.08238699 | −0.0038462 | 0.5318456 | −0.0029243 | −0.5624983 | 0.07126723 | −0.07194593 | 8 | −0.2222851 | 0.15964489 | 0.15929347 | 0.02677628 | −0.0859581 | 0.71257834 | −0.1564259 | 0.011627909 | −0.01141564 | 9 | −0.0746732 | 0.03595603 | −0.1688295 | 0.91853869 | 0.0432707 | −0.1996406 | 0.9708232 | −0.20718687 | 0.491048316 | 10 | 0.11105985 | 0.03339826 | −0.0412419 | −0.9111904 | −0.0757299 | 0.38318296 | 0.14046109 | 0.068233399 | 0.447903219 | 11 | −0.9956577 | −0.0325751 | 0.95862042 | 0.01858614 | −0.0328286 | 0.2342197 | −0.8047726 | −0.03547963 | 0.018056695 |
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