Chitnis2008 - Mathematical model of malaria transmission
Model Identifier
BIOMD0000000949
Short description
Mathematical model of malaria transmission for low and high transmission rates.
Format
SBML
(L2V4)
Related Publication
- Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model.
- Chitnis N, Hyman JM, Cushing JM
- Bulletin of mathematical biology , 7/ 2008 , Volume 70 , Issue 5 , pages: 1272-1296 , PubMed ID: 18293044
- Department of Public Health and Epidemiology, Swiss Tropical Institute, Socinstrasse 57, Postfach, 4002, Basel, Switzerland. nakul.chitnis@unibas.ch
- We perform sensitivity analyses on a mathematical model of malaria transmission to determine the relative importance of model parameters to disease transmission and prevalence. We compile two sets of baseline parameter values: one for areas of high transmission and one for low transmission. We compute sensitivity indices of the reproductive number (which measures initial disease transmission) and the endemic equilibrium point (which measures disease prevalence) to the parameters at the baseline values. We find that in areas of low transmission, the reproductive number and the equilibrium proportion of infectious humans are most sensitive to the mosquito biting rate. In areas of high transmission, the reproductive number is again most sensitive to the mosquito biting rate, but the equilibrium proportion of infectious humans is most sensitive to the human recovery rate. This suggests strategies that target the mosquito biting rate (such as the use of insecticide-treated bed nets and indoor residual spraying) and those that target the human recovery rate (such as the prompt diagnosis and treatment of infectious individuals) can be successful in controlling malaria.
Contributors
Matthew Roberts, Krishna Kumar Tiwari
Metadata information
isDescribedBy
hasTaxon
hasProperty
hasPart
isVersionOf
Curation status
Curated
Modelling approach(es)
Tags
Name | Description | Size | Actions |
---|---|---|---|
Model files |
|||
Chitnis2008.xml | SBML L2V4 representation of Chitnis2008 - Mathematical model of malaria transmission | 85.32 KB | Preview | Download |
Additional files |
|||
fig.jpg | Simulation results reproducing figures 2 and 3. | 36.95 KB | Preview | Download |
Chitnis2008.cps | COPASI 2.47(217) file for the model | 124.05 KB | Preview | Download |
Chitnis2008.sedml | SEDML file for the model | 10.07 KB | Preview | Download |
- Model originally submitted by : Matthew Roberts
- Submitted: 22-May-2018 15:48:18
- Last Modified: 13-May-2020 17:42:31
Revisions
Legends
: Variable used inside SBML models
: Variable used inside SBML models
Species
Species | Initial Concentration/Amount |
---|---|
Susceptible Human 0005461 |
600.0 mmol |
Exposed Human C156623; Homo sapiens |
20.0 mmol |
Infected Human Infection ; Homo sapiens |
3.0 mmol |
Recovered Recovery |
0.0 mmol |
Susceptible Mosquito 0005461 |
2400.0 mmol |
Exposed Mosquito Disease Transmission ; C123547 |
30.0 mmol |
Infected Mosquito Infection ; C123547 |
5.0 mmol |
Reactions
Reactions | Rate | Parameters |
---|---|---|
Human*rho_h*Recovered Human*rho_h*Recovered |
rho_h = 0.0027 | |
Human*lambda_h*Susceptible_Human Human*lambda_h*Susceptible_Human |
lambda_h = 4.48218926330601E-5 | |
Human*v_h*Exposed_Human Human*v_h*Exposed_Human |
v_h = 0.1 | |
Human*gamma_h*Infected_Human Human*gamma_h*Infected_Human |
gamma_h = 0.0035 | |
Human*f_h*Recovered Human*f_h*Recovered |
f_h = 1.334E-4 | |
Mosquito*Psi_v*N_v Mosquito*Psi_v*N_v |
Psi_v = 0.13; N_v = 2435.0 | |
Mosquito*lambda_v*Susceptible_Mosquito Mosquito*lambda_v*Susceptible_Mosquito |
lambda_v = 2.93379660870939E-4 | |
Mosquito*f_v*Susceptible_Mosquito Mosquito*f_v*Susceptible_Mosquito |
f_v = 0.1304 | |
Mosquito*v_v*Exposed_Mosquito Mosquito*v_v*Exposed_Mosquito |
v_v = 0.083 | |
Mosquito*f_v*Infected_Mosquito Mosquito*f_v*Infected_Mosquito |
f_v = 0.1304 | |
Human*Capital_lambda_h Human*Capital_lambda_h |
Capital_lambda_h = 0.041 |
Curator's comment:
(added: 13 May 2020, 17:42:18, updated: 13 May 2020, 17:42:18)
(added: 13 May 2020, 17:42:18, updated: 13 May 2020, 17:42:18)
Figure 2 of the literature result reproduced. Model encoded and plot generated using COPASI 4.27(217).