Lee2018 - Avian human half-saturated incidence (HSI) model

Model Identifier
BIOMD0000000717
Short description
Format
SBML
(L2V4)
Related Publication
-
Transmission dynamics and control strategies assessment of avian influenza A (H5N6) in the Philippines
- Hanl Lee, Angelyn Lao
- Elsevier BV , 3/ 2018 , Volume 3 , pages: 35-59 , DOI: 10.1016/j.idm.2018.03.004
- Mathematics & Statistics Department, De La Salle University , 2401 Taft Avenue, 0922 Manila, Philippines Mathematical & Statistical Modeling Research Unit, Center for Natural Sciences and Environmental Research, 2401 Taft Avenue, 0922Manila, Philippines
- Due to the outbreaks of Highly Pathogenic Avian Influenza A (HPAI) H5N6 in the Philippines (particularly in Pampanga and Nueva Ecija) in August 2017, there has been an increase in the need to cull the domestic birds to control the spread of the infection. However, this control method poses a negative impact on the poultry industry. In addition, the pathogenicity and transmissibility of the H5N6 in both the birds and the humans remain largely unknown which call for the necessity to develop more strategic control methods for the virus. In this study, we constructed a mathematical model for the bilinear and half-saturated incidence to compare their corresponding effect on transmission dynamics of H5N6. The simulations of half-saturated incidence model were similar to what occurred during the H5N6 outbreak (2017) in the Philippines. Instead of culling the birds, we implemented other control strategies such as non-medicinal (personal protection and poultry isolation) and medicinal (poultry vaccination) ways to prevent, reduce, and control the rate of the H5N6 virus transmission. Among the proposed control strategies, we have shown that the poultry isolation strategy is still the most effective in reducing the infected birds.
Contributors
Submitter of the first revision: Sarubini Kananathan
Submitter of this revision: Sarubini Kananathan
Modellers: Sarubini Kananathan
Submitter of this revision: Sarubini Kananathan
Modellers: Sarubini Kananathan
Metadata information
is (2 statements)
hasTaxon (3 statements)
isDescribedBy (1 statement)
hasProperty (3 statements)
hasTaxon (3 statements)
isDescribedBy (1 statement)
hasProperty (3 statements)
Mathematical Modelling Ontology
Ordinary differential equation model
Experimental Factor Ontology avian influenza
NCIt Viral Infection
Experimental Factor Ontology avian influenza
NCIt Viral Infection
Curation status
Curated
Modelling approach(es)
Tags
Connected external resources
Name | Description | Size | Actions |
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Model files |
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HSI reactions.xml | SBML L2V4 representation of Lee2018 - Avian human half-saturated incidence (HSI) model | 50.21 KB | Preview | Download |
Additional files |
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HSI reactions.cps | Copasi file for the model. | 80.25 KB | Preview | Download |
- Model originally submitted by : Sarubini Kananathan
- Submitted: Aug 28, 2018 3:46:26 PM
- Last Modified: Oct 18, 2018 11:20:35 AM
Revisions
-
Version: 7
- Submitted on: Oct 18, 2018 11:20:35 AM
- Submitted by: Sarubini Kananathan
- With comment: Automatically added model identifier BIOMD0000000717
-
Version: 4
- Submitted on: Aug 28, 2018 3:46:26 PM
- Submitted by: Sarubini Kananathan
- With comment: Edited model metadata online.
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Legends
: Variable used inside SBML models
: Variable used inside SBML models
Species
Species | Initial Concentration/Amount |
---|---|
S h 0000514 ; Homo sapiens |
171977.0 mmol |
S b 0000514 ; Aves |
244956.0 mmol |
I b 0000511 ; Aves |
36485.0 mmol |
I a 0000511 ; Homo sapiens |
0.0 mmol |
Reactions
Reactions | Rate | Parameters |
---|---|---|
=> S_h | compartment*LAMBDA_h | LAMBDA_h = 11.1667257534247 |
=> S_b | compartment*LAMBDA_b | LAMBDA_b = 5.64383561643836 |
I_b => | compartment*delta_b*I_b | delta_b = 0.00346708500589333 |
S_h => I_a; I_b | compartment*beta_bh*S_h*I_b/(H_bh+I_b) | beta_bh = 1.62354134956875E-10; H_bh = 120000.0 |
I_a => | compartment*d*I_a | d = 6.0882800608828E-11 |
S_b => | compartment*mu_b*S_b | mu_b = 0.00136986301369863 |
S_b => I_b; I_b | compartment*beta_b*S_b*I_b/(H_b+I_b) | beta_b = 0.00346731269415168; H_b = 180000.0 |
Curator's comment:
(added: 18 Oct 2018, 11:18:58, updated: 18 Oct 2018, 11:18:58)
(added: 18 Oct 2018, 11:18:58, updated: 18 Oct 2018, 11:18:58)
2nd column of Figure 2 from the reference publication has been reproduced. The model shows the half-saturated incidence of avian influence being transmitted. Initial conditions were taken from the publication. The model was simulated using Copasi 4.22 and the figure was generated using Python 2.7.