Chitnis2012 - Model Rift Valley Fever transmission between cattle and mosquitoes (Model 1)
Model Identifier
BIOMD0000000950
Short description
Mathematical model for Rift Valley Fever transmission between cattle and mosquitoes without infectious eggs.
Format
SBML
(L2V4)
Related Publication
- Modelling vertical transmission in vector-borne diseases with applications to Rift Valley fever.
- Hyman JM, Manore CA
- Journal of biological dynamics , 1/ 2013 , Volume 7 , pages: 11-40 , PubMed ID: 23098257
- Department of Epidemiology and Public Health, Swiss Tropical and Public Health Institute, 4002 Basel, Switzerland. nakul.chitnis@unibas.ch
- We present two ordinary differential equation models for Rift Valley fever (RVF) transmission in cattle and mosquitoes. We extend existing models for vector-borne diseases to include an asymptomatic host class and vertical transmission in vectors. We define the basic reproductive number, ℛ(0), and analyse the existence and stability of equilibrium points. We compute sensitivity indices of ℛ(0) and a reactivity index (that measures epidemicity) to parameters for baseline wet and dry season values. ℛ(0) is most sensitive to the mosquito biting and death rates. The reactivity index is most sensitive to the mosquito biting rate and the infectivity of hosts to vectors. Numerical simulations show that even with low equilibrium prevalence, increases in mosquito densities through higher rainfall, in the presence of vertical transmission, can result in large epidemics. This suggests that vertical transmission is an important factor in the size and persistence of RVF epidemics.
Contributors
Krishna Kumar Tiwari, Matthew Roberts
Metadata information
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hasProperty
isVersionOf
occursIn
Curation status
Curated
Modelling approach(es)
Tags
Name | Description | Size | Actions |
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Model files |
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Chitnis2012_model_1.xml | SBML L2V4 representation of Chitnis2012 - Model Rift Valley Fever transmission between cattle and mosquitoes (Model 1) | 51.97 KB | Preview | Download |
Additional files |
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Chitnis2012_model_1.sedml | SEDML file for the model | 5.04 KB | Preview | Download |
Chitnis2012_model_1.cps | COAPSI 4.27(217) file for the model | 78.79 KB | Preview | Download |
all_fig.jpg | Curated figures | 32.96 KB | Preview | Download |
- Model originally submitted by : Matthew Roberts
- Submitted: 23-May-2018 16:25:19
- Last Modified: 13-May-2020 18:25:09
Revisions
Legends
: Variable used inside SBML models
: Variable used inside SBML models
Species
Species | Initial Concentration/Amount |
---|---|
A h C3833; Infection |
0.0 mmol |
I h 0003748; 0000460 |
0.0 mmol |
S v C66819; 0004757 |
19999.0 mmol |
E v 0003748; PATO:0002425 |
0.0 mmol |
S h C66819; 0003748 |
1000.0 mmol |
R h 0003748; Recovered or Resolved |
0.0 mmol |
I v 0000460; 0004757 |
1.0 mmol |
Reactions
Reactions | Rate | Parameters |
---|---|---|
theta_h*lambda_h*S_h-(u_h+gamma_tilde_h)*A_h theta_h*lambda_h*S_h-(u_h+gamma_tilde_h)*A_h |
lambda_h = 5.143359375E-5; theta_h = 0.4; u_h = 4.5662100456621E-4; gamma_tilde_h = 0.25 | |
(1-theta_h)*lambda_h*S_h-(u_h+gamma_h+delta_h)*I_h (1-theta_h)*lambda_h*S_h-(u_h+gamma_h+delta_h)*I_h |
delta_h = 0.1; gamma_h = 0.25; lambda_h = 5.143359375E-5; theta_h = 0.4; u_h = 4.5662100456621E-4 | |
((N_v-psi_v*I_v)/N_v*u_v*M0-lambda_v*S_v)-u_v*S_v ((N_v-psi_v*I_v)/N_v*u_v*M0-lambda_v*S_v)-u_v*S_v |
u_v = 0.05; lambda_v = 0.0; N_v = 20000.0; M0 = 20000.0; psi_v = 0.1 | |
lambda_v*S_v-(u_v+v_v)*E_v lambda_v*S_v-(u_v+v_v)*E_v |
u_v = 0.05; lambda_v = 0.0; v_v = 0.0714285714285714 | |
(u_h*C0-lambda_h*S_h)-u_h*S_h (u_h*C0-lambda_h*S_h)-u_h*S_h |
C0 = 1000.0; lambda_h = 5.143359375E-5; u_h = 4.5662100456621E-4 | |
(gamma_h*I_h+gamma_tilde_h*A_h)-u_h*R_h (gamma_h*I_h+gamma_tilde_h*A_h)-u_h*R_h |
gamma_h = 0.25; u_h = 4.5662100456621E-4; gamma_tilde_h = 0.25 | |
(psi_v*I_v/N_v*u_v*M0+v_v*E_v)-u_v*I_v (psi_v*I_v/N_v*u_v*M0+v_v*E_v)-u_v*I_v |
u_v = 0.05; N_v = 20000.0; M0 = 20000.0; v_v = 0.0714285714285714; psi_v = 0.1 |
Curator's comment:
(added: 13 May 2020, 18:24:54, updated: 13 May 2020, 18:24:54)
(added: 13 May 2020, 18:24:54, updated: 13 May 2020, 18:24:54)
Figure 5 results has been reproduced. Model encoded and plot generated using COPASI 4.27. Other figures can be generated using the setup provided in the literature.