acutehiv: A model of HIV infection with acute and chronic infection...
In reconhub/epicookbook: A cookbook of 'recipes' for epidemiological modeling in R.
Description
A model of HIV infection with acute and chronic infection stages.
Usage
1
Details
deqn\fracdS(t)dt = \Lambda -\beta_1 c S(t) \fracI_1(t)N(t)-\beta_2 c S(t) \fracI_2(t)N(t)-\mu S(t)dS(t)/dt = -\Lambda -\beta_1 c S(t) I_1(t)/N(t)-\beta_2 c S(t) I_2(t)/N(t)-\mu S(t)
dI_1(t)/dt = β_1 c S(t) I_1(t)/N(t)+β_2 c S(t) I_2(t)/N(t) - (μ+α) I_1(t)
dI_2(t)/dt = α I_1(t)-(μ+γ)I_2(t)
The state variables of the model are as follows.
- S
The number of susceptible individuals.
- I_1
The number of individuals with acute HIV infection.
- I_2
The number of individuals with chronic HIV infection.
Time is in weeks; years are assumed to comprise of 52 weeks. The parameters of the model, and the values used in the example, are as follows.
Symbol Description Value
reconhub/epicookbook documentation built on May 27, 2019, 4:02 a.m.
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Description
A model of HIV infection with acute and chronic infection stages.
Usage
1 |
Details
deqn\fracdS(t)dt = \Lambda -\beta_1 c S(t) \fracI_1(t)N(t)-\beta_2 c S(t) \fracI_2(t)N(t)-\mu S(t)dS(t)/dt = -\Lambda -\beta_1 c S(t) I_1(t)/N(t)-\beta_2 c S(t) I_2(t)/N(t)-\mu S(t)
dI_1(t)/dt = β_1 c S(t) I_1(t)/N(t)+β_2 c S(t) I_2(t)/N(t) - (μ+α) I_1(t)
dI_2(t)/dt = α I_1(t)-(μ+γ)I_2(t)
The state variables of the model are as follows.
- S
The number of susceptible individuals.
- I_1
The number of individuals with acute HIV infection.
- I_2
The number of individuals with chronic HIV infection.
Time is in weeks; years are assumed to comprise of 52 weeks. The parameters of the model, and the values used in the example, are as follows.
| Symbol | Description | Value |
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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