# Questions tagged [epidemics-modeling]

The tag has no usage guidance.

23 questions
Filter by
Sorted by
Tagged with
156 views

### Poisson Process x SIR model [closed]

Consider the simplest SIR model: $$S'=-a SI$$ $$I'=a SI - b I$$ $$R'=b I$$ It is known that the waiting time of an infeccious person in the compartment $I$ follows an exponential behavior with rate $b$...
• 123
22 views

### Epidemic risk models on graphs with fuzzy edges

I am reading the paper mentioned above, but I have some questions because I have some confusions. image Questions What is the motivation behind transforming the original formula in the network model? ...
162 views

### Equation in epidemic SIR model with the influence of vaccinations

I am currently preparing a presentation on different modifications of the SIR model. In my sources about the use of vaccines, I came across the following model for a specific rate at which the ...
• 41
197 views

### Epidemic modelling: expectation of time of infection given the distribution of transmission and recovery

Can I express the expected value of $$\langle \tau\rangle_\text{total}=\int_0^\infty \tau \psi_\text{inf}(\tau)\Psi_\text{rec}(\tau)\mathrm{d}\tau$$ in terms of the moment(...
• 179
193 views

### Literature on reaction diffusion equations

My research area is age structure modelling, basically when applied to reaction diffusion equations. We mainly discuss the existence of travelling wave solutions; I want to work on the stability of ...
1 vote
225 views

### Why should we model infectious diseases with fractional differential equations?

With COVID19 becoming a pandemic I saw some researchers trying to model it with fractional differential equations (FDE) instead of ordinary differential equations (ODE). From a technical standpoint I ...
91 views

### Epidemics: distribution of interarrival times

In models of disease transmission, after an individual is getting infected, he can generate a number of secondary infections. The number of secondary infections depends on the infectiousness of the ...
• 179
936 views

### What nodes of a graph should be vaccinated first?

Consider a graph, choose some "p: 0<p<1" (probability to infect the neighbor node). Choose some random number "K" of nodes which are "infected" initially. So we ...
• 22.7k
1 vote
If the population is classified into $\mathbf{S}$, $\mathbf{E}$, $\mathbf{I}$ and $\mathbf{R}$ compartments such that \label{eq4} \begin{aligned} \mathbf{S} &=\dfrac{S_{1}N_{1}+...