کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4500200 | 1319969 | 2013 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: An analysis of a stochastic model for bacteriophage systems An analysis of a stochastic model for bacteriophage systems](/preview/png/4500200.png)
In this article, we analyze a system modeling bacteriophage treatments for infections in a noisy context. In the small noise regime, we show that after a reasonable amount of time the system is close to a bacteria free equilibrium (which is a relevant biologic information) with high probability. Mathematically speaking, our study hinges on concentration techniques for delayed stochastic differential equations.
► We model a bacteriophage therapies consisting in inoculating a (benign) virus in order to kill the bacteria known to be responsible of a certain disease.
► The model is a kind of predator–prey equation with delay and with noise that will appear when collecting data from laboratory tests.
► In a reasonable time the system is not far from its stable equilibrium.
► We have produced a concentration type result around the equilibrium.
Journal: Mathematical Biosciences - Volume 241, Issue 1, January 2013, Pages 99–108