Matlab:Refined population model: Difference between revisions
Jump to navigation
Jump to search
Homerun-chan (talk | contribs) No edit summary |
Homerun-chan (talk | contribs) m (modularity) |
||
Line 13: | Line 13: | ||
C = 100; % Number of girls contracted by QBe | C = 100; % Number of girls contracted by QBe | ||
D = 0.25; % Proportion of girls (who are fighting) that die | D = 0.25; % Proportion of girls (who are fighting) that die | ||
B = 0.125; % Proportion of girls (who are fighting) to become witches | B = 0.125; % Proportion of girls (who are fighting) to become witches | ||
N = 0.015; % Proportion of familiars becoming witches | N = 0.015; % Proportion of familiars becoming witches | ||
K = 0.12; % Proportion of witches getting killed by MSes | K = 0.12; % Proportion of witches getting killed by MSes | ||
P = 0.8; % proportion of MSes fighting | P = 0.8; % proportion of MSes fighting | ||
M(1) = 0; | steps = 500; % Number of iterations for the simulation | ||
W(1) = 1; | |||
M(1) = 0; % Number of magical girls at first | |||
W(1) = 1; % Number of witches at first | |||
hold on | hold on | ||
for t=1: | for t=1:steps | ||
prop = P*min(M(t), W(t)); | prop = P*min(M(t), W(t)); | ||
Revision as of 14:27, 19 March 2011
% % REFINED MAGICAL GIRL-WITCH POPULATION MODEL % This file has been produced for FreeMat 4.0 % The syntax of the plot commands may differ from Matlab. % % If you want to modify the constants, please bear these restrictions in mind: % -C should be an integer % -D, B, N, K and P should be values in [0,1] % -B should be greater than K (or else, the number of witches will be negative) % -W(1) should be strictly positive. If W(1)=0, no witch appear ever, and MSes grow linearily % C = 100; % Number of girls contracted by QBe D = 0.25; % Proportion of girls (who are fighting) that die B = 0.125; % Proportion of girls (who are fighting) to become witches N = 0.015; % Proportion of familiars becoming witches K = 0.12; % Proportion of witches getting killed by MSes P = 0.8; % proportion of MSes fighting steps = 500; % Number of iterations for the simulation M(1) = 0; % Number of magical girls at first W(1) = 1; % Number of witches at first hold on for t=1:steps prop = P*min(M(t), W(t)); deltaM = C- prop*(D+B); deltaW = N*W(t) + prop*(B-K); M(t+1)=M(t)+deltaM; W(t+1)=W(t)+deltaW; end title('Evolution of the Magical Girls population over time') xlabel('time') ylabel('number of magical girls/witches') plot(M, 'g.-') plot(W, 'r.-') legend('Magical Girls', 'Witches', 'location', 'northeast') legend('boxoff') hold off