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 I10.275351440.31269649−0.2126230.355379880.472481030.108226330.521149510.185720875−0.00890278
20.615168380.24930343−0.1133566−0.26988980.230757451.456621310.002854710.54326608−0.03948103
3−0.33317120.136830020.07415358−0.007558−0.14145220.00429373−0.2363309−0.53264189−0.12625219
4−0.1724685−0.1569281−0.1780917−0.02301890.06567477−0.1619849−0.074340.2804944630.724308841
50.342352550.166015010.337796120.382142220.172063980.375675440.25394552−0.204242560.497829902
60.00647555−0.06710070.418484980.4655630.178523990.259100010.62807088−0.25015769−0.03607794
70.39917241−0.20864230.27916279−0.1982513−0.10032140.086122760.23112207−0.11265536−0.04638131
80.37891578−0.14710920.255162720.47437651−0.04797260.39541230.233714660.1557852320.111525519
9−0.15698220.21029864−0.280122−0.04986250.078988720.18498889−0.1404023−0.289746740.273393228
10−0.1405838−0.0119767−0.16351250.11249313−0.06545650.69188379−0.0877791−0.1594545−0.77121428
110.392969390.02457412−0.0200821−0.12014470.171618890.036300630.048113920.279716864−0.22688875

Case II10.501052520.825363390.580454830.45518044−0.1160988−0.30930880.147352550.5765523590.192127271
20.261418060.217962380.31815591−0.16766240.4234933−0.16140250.009758380.539177880.775847618
3−0.1877622−0.1568166−0.38590220.34192011−0.11621830.787573110.40990792−0.291269520.094655869
40.02599785−0.17645390.174915140.031499050.44911473−0.1695519−0.0583248−0.00447879−0.06289373
5−0.2923416−0.10657390.387648390.10732316−0.0035220.430096060.202684350.6275844490.02333884
6−0.38680090.44970016−0.0422409−0.2581683−0.41051990.016568080.000667930.075964394−0.18685644
70.05739953−0.1193984−0.26071230.17181358−0.27136280.66311474−0.124996−0.079813080.505938132
8−0.02163280.80670030.31701813−0.15115880.140927880.65770582−0.1918301−0.004073960.121012726
9−8.30E − 07−0.0664668−0.11686640.63180611−0.1478398−0.15926770.270268430.1131427720.003053122
100.09718671−0.0187463−0.0760148−0.04440810.299805990.00951493−0.1584802−0.011772520.821398692
110.193967170.18738185−0.4407164−0.1400116−0.15198690.038500450.32211631−0.106169950.295182432

Case III10.368776140.41870330.005517210.371063780.76553227−0.11350280.367662840.6565438770.074012878
20.571231580.390292350.269251950.02897603−0.0177996−0.27249760.68341531−0.566598910.035271905
3−0.2786739−0.1350866−0.40798240.18172611−0.1092217−0.65352410.19817369−0.181044410.127718735
40.248960520.133223240.342458990.185354870.183366550.32712799−0.14222260.1528342880.025045362
50.291759670.21119283−0.19578160.31132875−0.0532529−0.33059640.04517261−0.73533086−0.21051239
60.386092490.275908470.58209501−0.535581−0.18238940.31125028−0.00330380.0826663750.323016755
70.01164667−0.14217680.243283170.264800370.021735020.078484850.617754820.2318933740.074346878
80.593813210.06375022−0.36897130.35998444−0.03686660.329072190.148773580.1434832470.3344067
9−0.2877027−0.08129760.585135370.114541340.04186864−0.38143560.28795352−0.00041389−0.13335931
10−0.30739940.0111124−0.00688850.04196657−0.1275650.14629639−0.40819820.00302860.33443128
110.06421859−0.09197220.34881249−0.0684058−0.14121790.4979470.198741510.0711107530.298703303