Huo2017 - SEIS epidemic model with the impact of media

  public model
Model Identifier
BIOMD0000000715
Short description
Format
SBML (L2V4)
Related Publication
  • Stability and bifurcation for an SEIS epidemic model with the impact of media
  • Hai-Feng Huo, Peng Yang, Hong Xiang
  • Elsevier BV , 9/ 2017 , Volume 490 , pages: 702-720 , DOI: 10.1016/j.physa.2017.08.139
  • Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu, 730050, People’s Republic of China
  • A novel SEIS epidemic model with the impact of media is introduced. By analyzing the characteristic equation of equilibrium, the basic reproduction number is obtained and the stability of the steady states is proved. The occurrence of a forward, backward and Hopf bifurcation is derived. Numerical simulations and sensitivity analysis are performed. Our results manifest that media can regard as a good indicator in controlling the emergence and spread of the epidemic disease.
Contributors
Submitter of the first revision: Sarubini Kananathan
Submitter of this revision: Sarubini Kananathan
Modellers: Sarubini Kananathan

Metadata information

is (2 statements)
BioModels Database BIOMD0000000715
BioModels Database MODEL1808280008

hasTaxon (1 statement)
Taxonomy Homo sapiens

isDescribedBy (1 statement)
hasProperty (2 statements)
Mathematical Modelling Ontology Ordinary differential equation model
Experimental Factor Ontology infectious disease

Curation status
Curated
Modelling approach(es)
ordinary differential equation model
Tags

Connected external resources

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Name Description Size Actions

Model files
Epidemic Model with the impact of Media Reactions.xml SBML L2V4 representation of Huo2017 - SEIS epidemic model with the impact of media 33.83 KB Preview | Download

Additional files
Epidemic Model with the impact of Media Reactions.cps Copasi file for the model 65.16 KB Preview | Download

  • Model originally submitted by : Sarubini Kananathan
  • Submitted: Aug 28, 2018 3:24:13 PM
  • Last Modified: Oct 17, 2018 1:15:59 PM
Revisions
  • Version: 7 public model Download this version
    • Submitted on: Oct 17, 2018 1:15:59 PM
    • Submitted by: Sarubini Kananathan
    • With comment: Automatically added model identifier BIOMD0000000715
  • Version: 4 public model Download this version
    • Submitted on: Aug 28, 2018 3:24:13 PM
    • Submitted by: Sarubini Kananathan
    • With comment: Edited model metadata online.

(*) You might be seeing discontinuous revisions as only public revisions are displayed here. Any private revisions unpublished model revision of this model will only be shown to the submitter and their collaborators.

Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
I

0000511 		3.0 mmol
N

Total ; population 		9.0 mmol
M

Message 		6.0 mmol
E

Exposed Population 		2.5 mmol
S

0000514 		3.5 mmol
Reactions
Reactions Rate Parameters
E => I compartment*rho*E rho = 0.09
N = S+E+I [] []
M => compartment*tau*M tau = 0.6
=> M; E compartment*mu2*E mu2 = 0.4
E => compartment*alpha1*E alpha1 = 0.6
I => S compartment*gamma*I gamma = 0.7
S => compartment*alpha1*S alpha1 = 0.6
S => E; I, M compartment*beta*S*I*exp((-alpha)*M) beta = 0.8; alpha = 0.08
I => compartment*(alpha1+alpha2)*I alpha2 = 0.02; alpha1 = 0.6
=> M; S compartment*mu1*S mu1 = 0.99
Curator's comment:
(added: 17 Oct 2018, 13:11:20, updated: 17 Oct 2018, 13:11:20)
Figure 2 of the reference publication has been reproduced. Initial conditions were taken from the publication. The model was simulated using Copasi 4.22 and the figure was generated using Python 2.7.