Talk:Matlab:Gradual dimming population model: Difference between revisions
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Homerun-chan (talk | contribs) (→Another interresting result: new section) |
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==First try== | ==First try== | ||
<pre> | |||
C = 10; % Number of girls contracted by QBe | C = 10; % Number of girls contracted by QBe | ||
D = 0.01; % Proportion of girls (who are fighting) that die | D = 0.01; % Proportion of girls (who are fighting) that die | ||
| Line 13: | Line 14: | ||
M(1) = 0; % Number of magical girls at first | M(1) = 0; % Number of magical girls at first | ||
W(1) = 0; % Number of witches at first | W(1) = 0; % Number of witches at first | ||
</pre> | |||
==Result== | ==Result== | ||
<gallery> | |||
File:Matlab talkpage result 1.png | |||
File:Matlab talkpage result 1 logscale.png|The result where y is in log scale | |||
</gallery> | |||
{{-}} | {{-}} | ||
==Second try== | ==Second try== | ||
<pre> | |||
C = 10; % Number of girls contracted by QBe | C = 10; % Number of girls contracted by QBe | ||
D = 0.01; % Proportion of girls (who are fighting) that die | D = 0.01; % Proportion of girls (who are fighting) that die | ||
| Line 29: | Line 36: | ||
M(1) = 0; % Number of magical girls at first | M(1) = 0; % Number of magical girls at first | ||
W(1) = 0; % Number of witches at first | W(1) = 0; % Number of witches at first | ||
</pre> | |||
==Result== | ==Result== | ||
<gallery> | |||
File:Matlab talkpage result 2.png | |||
File:Matlab talkpage result 2 logscale.png|the result in log scale | |||
</gallery> | |||
{{-}} | {{-}} | ||
==Third try== | ==Third try== | ||
<pre> | |||
C = 10; % Number of girls contracted by QBe | C = 10; % Number of girls contracted by QBe | ||
D = 0.01; % Proportion of girls (who are fighting) that die | D = 0.01; % Proportion of girls (who are fighting) that die | ||
| Line 45: | Line 57: | ||
M(1) = 0; % Number of magical girls at first | M(1) = 0; % Number of magical girls at first | ||
W(1) = 0; % Number of witches at first | W(1) = 0; % Number of witches at first | ||
</pre> | |||
==Result== | ==Result== | ||
<gallery> | |||
File:Matlab talkpage result 3.png | |||
File:Matlab talkpage result 3 logscale.png|result 3 in log scale | |||
</gallery> | |||
== Another interresting result == | |||
Here's another result. Third model, in the case K>B+F. | |||
The value at which the system seems to become unstable seems to be around t=0.0003595. I have absolutely no clue about such a behavior ... | |||
Also note that reducing T has the effect of reducing the first gap's length, the others don't seem to vary that much ... | |||
[[File:Population dynamics with varrying T.png|thumb|800px|left|Left is with T=0.000359, the system seems to converge to its equilibrium. Right is with T=0.0003596, the system goes crazy as usual.]] | |||
Latest revision as of 18:07, 20 March 2011
Can I get a few extra simulations with the below values?
First try
C = 10; % Number of girls contracted by QBe D = 0.01; % Proportion of girls (who are fighting) that die B = 0.1; % Proportion of girls (who are fighting) to become witches F = 0.5; % Proportion of familiars becoming witches K = 0.2; % Proportion of witches getting killed by MSes P = 0.95; % proportion of MSes fightgins T = 0.0001; % Number of MSes turning into witches over time M(1) = 0; % Number of magical girls at first W(1) = 0; % Number of witches at first
Result
The result where y is in log scale
Second try
C = 10; % Number of girls contracted by QBe D = 0.01; % Proportion of girls (who are fighting) that die B = 0.1; % Proportion of girls (who are fighting) to become witches F = 0.05; % Proportion of familiars becoming witches K = 0.2; % Proportion of witches getting killed by MSes P = 0.95; % proportion of MSes fightgins T = 0.0001; % Number of MSes turning into witches over time M(1) = 0; % Number of magical girls at first W(1) = 0; % Number of witches at first
Result
the result in log scale
Third try
C = 10; % Number of girls contracted by QBe D = 0.01; % Proportion of girls (who are fighting) that die B = 0.1; % Proportion of girls (who are fighting) to become witches F = 0.5; % Proportion of familiars becoming witches K = 0.2; % Proportion of witches getting killed by MSes P = 0.95; % proportion of MSes fightgins T = 0.01; % Number of MSes turning into witches over time M(1) = 0; % Number of magical girls at first W(1) = 0; % Number of witches at first
Result
result 3 in log scale
Another interresting result
Here's another result. Third model, in the case K>B+F. The value at which the system seems to become unstable seems to be around t=0.0003595. I have absolutely no clue about such a behavior ...
Also note that reducing T has the effect of reducing the first gap's length, the others don't seem to vary that much ...
