Malthusův model x(t+1)=r*x(t) Parametr: r = 1.5 t x(t) 0 0.01 1 0.015 2 0.0225 3 0.03375 4 0.050625 5 0.0759375 6 0.11390625 7 0.170859375 8 0.256289063 9 0.384433594 10 0.576650391 11 0.864975586 12 1.297463379 13 1.946195068 14 2.919292603 15 4.378938904 16 6.568408356 17 9.852612534 18 14.7789188 19 22.1683782 20 33.2525673 21 49.87885095 22 74.81827643 23 112.2274146 24 168.341122 25 252.5116829 26 378.7675244 27 568.1512866 28 852.2269299 29 1278.340395 30 1917.510592 ##### Sheet/List 2 ##### Verhulstův model x(t+1)=x(t)*(r-(r-1)/K*x(t)) Parametry: r= 1.5 Stacionární řešení: 10 asymptoticky stabilní t x(t) K= 10 0 0.01 1 0.014995 2 0.022481257 3 0.033696616 4 0.050488151 5 0.075604773 6 0.113121356 7 0.169042212 8 0.252134555 9 0.37502324 10 0.555502739 11 0.817824944 12 1.193295534 13 1.718745589 14 2.430414064 15 3.350275469 16 4.464195918 17 5.699841617 18 6.925352703 19 7.990003551 20 8.79299749 21 9.323655992 22 9.638955935 23 9.812960327 24 9.904730971 25 9.951911676 26 9.975840214 27 9.987890922 28 9.99393813 29 9.996967227 30 9.998483154 ##### Sheet/List 3 ##### Model Pielou x(t+1)=x(t)*x*K/(K+(r-1)*x(t)) Parametry: r= 1.5 Stacionární řešení: 10 asymptoticky stabilní t x(t) K= 10 0 0.01 1 0.014992504 2 0.02247191 3 0.033670034 4 0.050420168 5 0.075440067 6 0.112734864 7 0.168154453 8 0.250128667 9 0.370558634 10 0.545726762 11 0.796847104 12 1.149472947 13 1.630498712 14 2.261388515 15 3.047503322 16 3.966811432 17 4.965380701 18 5.966719387 19 6.893500058 20 7.689776389 21 8.331352641 22 8.82204893 23 9.182604212 24 9.439806138 25 9.619431011 26 9.743027482 27 9.827204868 28 9.884135887 29 9.922457779 30 9.948171222 ##### Sheet/List 4 ##### Rickerův model x(t+1)=x(t)*r^(1-x(t)/K) Parametry: r= 1.5 Stacionární řešení: 10 asymptoticky stabilní t x(t) K= 10 0 0.01 1 0.014993919 2 0.02247721 3 0.033685101 4 0.050458687 5 0.075533337 6 0.112953542 7 0.168656118 8 0.251260068 9 0.373069944 10 0.55120365 11 0.808531845 12 1.173683096 13 1.67870574 14 2.352368167 15 3.207549782 16 4.224570058 17 5.339281144 18 6.449914754 19 7.448483719 20 8.260338493 21 8.864041134 22 9.281859826 23 9.55610309 24 9.729655487 25 9.836894041 26 9.902164727 27 9.94152343 28 9.965122956 29 9.979225028 30 9.987634596