Team:LCG-UNAM-Mexico:odes
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[[Image:Beretta_eq.jpg|500px|thumb|System of delay differential equations]] | [[Image:Beretta_eq.jpg|500px|thumb|System of delay differential equations]] | ||
- | * Bacteria (either susceptible or infected) | + | * Bacteria (either susceptible or infected) grow logistically with a carrying capacity C. |
* According to the law of mass action, when a P (phage) encounters a S (susceptible bacterium), it attaches itself to the cell wall of the bacterium. The bacterium becomes I (infected) at rate K (Bacteriophage Adsorption Rate). | * According to the law of mass action, when a P (phage) encounters a S (susceptible bacterium), it attaches itself to the cell wall of the bacterium. The bacterium becomes I (infected) at rate K (Bacteriophage Adsorption Rate). | ||
- | * Infected bacteria, now under control of | + | * Infected bacteria, now under the control of phages, produce a large number of phages (burst size) that will be released when the infected population dies within a time \tau. |
- | * The term mi | + | * The term mi takes into account the death rate caused by the suicide system. The term e is the probability that the infected bacteria do not die in the course of infection due to the suicide system. |
- | * If the suicide system | + | * If the suicide system doesnt kill the infected bacteria at previous time tau, it will result in a number b of phages. |
<br>The system was solved using Matlab.<br> | <br>The system was solved using Matlab.<br> | ||
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=='''Results'''== | =='''Results'''== | ||
Revision as of 20:02, 19 October 2009