# Tagged Questions

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### Modelling the efficiency of a Peer to Peer system

I am working of a Peer to Peer project. For the evaluation part, which I need to write up - I am required to present a model of the efficiency of the system. Now the basic functionality of the system ...
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### How to find $X_i$ from this equation

Suppose $X_i=\nu_i+\frac{m-i}{m}X_{i+1}+\frac{i}{m}X_{i-1},\quad 1\le i\le m$ where $X_0=X_{m+1}=0$. I need to find an expression for $X_i$ in terms of $v_i$, $i$, and $m$. I know how to find it ...
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### What kind of stochastic model shall I build for x(t) if $stdev(dx)$ is linear to $dx$?

I'm building a stochastic model for a process $x(t)$. I notice that daily $dx$ and spot standard deviation of $dx$ seem not related. By spot standard deviation of $dx$ means i take 30 days $dx$ ...
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### Stochastic predator-prey

My system is a simple $P$ vs $I$ foxes- vs rabbits model given by:  \begin{cases} \frac{\mathrm{d}I}{\mathrm{d}t}=& \alpha_I+\lambda_IP- \gamma_II -\delta_IPI;\\ ...