Chitnis2008 - Mathematical model of malaria transmission

  public model
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
PubMed 18293044
hasTaxon
Taxonomy Homo sapiens
hasProperty
Mathematical Modelling Ontology Ordinary differential equation model
C71292
C34797
hasPart
Experimental Factor Ontology malaria
isVersionOf

Curation status
Curated


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
  • Version: 4 public model Download this version
    • Submitted on: 13-May-2020 17:42:31
    • Submitted by: Krishna Kumar Tiwari
    • With comment: Automatically added model identifier BIOMD0000000949
  • Version: 2 public model Download this version
    • Submitted on: 22-May-2018 15:48:18
    • Submitted by: Matthew Roberts
    • With comment: Edited model metadata online.
Legends
: 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)
Figure 2 of the literature result reproduced. Model encoded and plot generated using COPASI 4.27(217).