Team:LCG-UNAM-Mexico:odes
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* Bacteriophages | * Bacteriophages | ||
+ | ==System of nonlinear differential equations== | ||
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+ | [[Image:Beretta_eq.jpg|500px|thumb|System of delay differential equations]] | ||
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* Bacteria (either susceptible or infected) grows logistically with a carrying capacity C. | * Bacteria (either susceptible or infected) grows 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. | + | * 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). |
- | The bacterium becomes I (infected) at rate K (Bacteriophage Adsorption Rate). | + | * Infected bacteria, now under control of phage, reproduce inside them a large number of phages copies (burst size) to release when the Infected population die within a time \tau. |
- | * Infected bacteria, now under control of phage, reproduce inside them a large number of phages copies (burst size) to release | + | * The term mi take into account the death rate caused by the suicide system. So the term e is the probability that infected bacteria do not die in the course of infection because suicide system. |
- | when the Infected population die within a time \tau. | + | |
- | * The term mi take into account the death rate caused by the suicide system. So the term e is the probability that infected bacteria do not | + | |
- | die in the course of infection because suicide system. | + | |
* If the suicide system do not kill the infected bacteria at previous time tau, it will result in a number b of phages. | * If the suicide system do not kill the infected bacteria at previous time tau, it will result in a number b of phages. | ||
<br> | <br> |
Revision as of 16:59, 19 October 2009