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) grow logistically with a carrying capacity C. | * 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 | + | * 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 the control of phages, produce a large number of phages (burst size) that will be released when the infected population dies within a time | + | * 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 τ. |
* 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. | * 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 doesnt kill the infected bacteria at previous time tau, it will result in a number b of phages. | * If the suicide system doesnt kill the infected bacteria at previous time tau, it will result in a number b of phages. |
Revision as of 05:12, 20 October 2009