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 vectorborne diseases with applications to Rift Valley fever.
 Hyman JM, Manore CA
 Journal of biological dynamics , 1/ 2013 , Volume 7 , pages: 1140 , 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 vectorborne 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
Submitter of the first revision: Matthew Roberts
Submitter of this revision: Krishna Kumar Tiwari
Modellers: Matthew Roberts, Krishna Kumar Tiwari
Submitter of this revision: Krishna Kumar Tiwari
Modellers: Matthew Roberts, Krishna Kumar Tiwari
Metadata information
is (2 statements)
isDescribedBy (1 statement)
hasProperty (2 statements)
isVersionOf (1 statement)
occursIn (1 statement)
isDescribedBy (1 statement)
hasProperty (2 statements)
isVersionOf (1 statement)
occursIn (1 statement)
Curation status
Curated
Modelling approach(es)
Tags
Connected external resources
Name  Description  Size  Actions 

Model files 

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 

Chitnis2012_model_1.cps  COAPSI 4.27(217) file for the model  78.79 KB  Preview  Download 
Chitnis2012_model_1.sedml  SEDML file for the model  5.04 KB  Preview  Download 
all_fig.jpg  Curated figures  32.96 KB  Preview  Download 
 Model originally submitted by : Matthew Roberts
 Submitted: May 23, 2018 4:25:19 PM
 Last Modified: May 13, 2020 6:25:09 PM
Revisions

Version: 4
 Submitted on: May 13, 2020 6:25:09 PM
 Submitted by: Krishna Kumar Tiwari
 With comment: Automatically added model identifier BIOMD0000000950

Version: 2
 Submitted on: May 23, 2018 4:25:19 PM
 Submitted by: Matthew Roberts
 With comment: Edited model metadata online.
(*) You might be seeing discontinuous revisions as only public revisions are displayed here. Any private revisions of this model will only be shown to the submitter and their collaborators.
Legends
: Variable used inside SBML models
: Variable used inside SBML models
Species
Species  Initial Concentration/Amount 

R h 0003748 ; Recovered or Resolved 
0.0 mmol 
I v 0000460 ; 0004757 
1.0 mmol 
A h C3833 ; Infection 
0.0 mmol 
S v C66819 ; 0004757 
19999.0 mmol 
I h 0003748 ; 0000460 
0.0 mmol 
E v 0003748 ; PATO:0002425 
0.0 mmol 
S h C66819 ; 0003748 
1000.0 mmol 
Reactions
Reactions  Rate  Parameters 

R_h = (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 = 4.5662100456621E4; gamma_tilde_h = 0.25 
I_v = (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 
A_h = 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 = 5.143359375E5; theta_h = 0.4; u_h = 4.5662100456621E4; gamma_tilde_h = 0.25 
S_v = ((N_vpsi_v*I_v)/N_v*u_v*M0lambda_v*S_v)u_v*S_v  ((N_vpsi_v*I_v)/N_v*u_v*M0lambda_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 
I_h = (1theta_h)*lambda_h*S_h(u_h+gamma_h+delta_h)*I_h  (1theta_h)*lambda_h*S_h(u_h+gamma_h+delta_h)*I_h  delta_h = 0.1; gamma_h = 0.25; lambda_h = 5.143359375E5; theta_h = 0.4; u_h = 4.5662100456621E4 
E_v = 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 
S_h = (u_h*C0lambda_h*S_h)u_h*S_h  (u_h*C0lambda_h*S_h)u_h*S_h  C0 = 1000.0; lambda_h = 5.143359375E5; u_h = 4.5662100456621E4 
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.