Munz2009 - Zombie SIZRC

Model Identifier
BIOMD0000000882
Short description
Munz2009 - Zombie SIZRC This is the model with an latent infection and cure for zombies described in the article. This model was originally created by libAntimony v1.4 (using libSBML 3.4.1). This model is described in the article: When zombies attack!: Mathematical modelling of an outbreak of zombie infection P. Munz, I. Hudea, J. Imad and R.J. Smith? Infectious Disease Modelling Research Progress 2009, chapter 4, pp 133-150. Editors: Jean Michel Tchuenche and C. Chiyaka; Nova Science Publishers, Inc., NY, USA. Abstract: Zombies are a popular figure in pop culture/entertainment and they are usually portrayed as being brought about through an outbreak or epidemic. Consequently, we model a zombie attack, using biological assumptions based on popular zombie movies. We introduce a basic model for zombie infection, determine equilibria and their stability, and illustrate the outcome with numerical solutions. We then refine the model to introduce a latent period of zombification, whereby humans are infected, but not infectious, before becoming undead. We then modify the model to include the effects of possible quarantine or a cure. Finally, we examine the impact of regular, impulsive reductions in the number of zombies and derive conditions under which eradication can occur. We show that only quick, aggressive attacks can stave off the doomsday scenario: the collapse of society as zombies overtake us all. This model is hosted on BioModels Database and identified by: MODEL1008060001 . To cite BioModels Database, please use: BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models . To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information.
Format
SBML
(L2V4)
Related Publication
-
When Zombies Attack!: Mathematical modelling of an outbreak of zombie infection
- P. Munz, I. Hudea, J. Imad and R.J. Smith
- Infectious Disease Modelling Research Progress , 11/ 2009 , Other Link (URL): https://isbndb.com/book/1607413477
- Department of Mathematics and Faculty of Medicine, The University of Ottawa
- Zombies are a popular figure in pop culture/entertainment and they are usually portrayed as being brought about through an outbreak or epidemic. Consequently, we model a zombie attack, using biological assumptions based on popular zombie movies. We introduce a basic model for zombie infection, determine equilibria and their stability, and illustrate the outcome with numerical solutions. We then refine the model to introduce a latent period of zombification, whereby humans are infected, but not infectious, before becoming undead. We then modify the model to include the effects of possible quarantine or a cure. Finally, we examine the impact of regular, impulsive reductions in the number of zombies and derive conditions under which eradication can occur. We show that only quick, aggressive attacks can stave off the doomsday scenario: the collapse of society as zombies overtake us all.
Contributors
Submitter of the first revision: Lukas Endler
Submitter of this revision: Mohammad Umer Sharif Shohan
Modellers: Lukas Endler, Mohammad Umer Sharif Shohan
Submitter of this revision: Mohammad Umer Sharif Shohan
Modellers: Lukas Endler, Mohammad Umer Sharif Shohan
Metadata information
is (3 statements)
hasTaxon (1 statement)
isPropertyOf (1 statement)
isDescribedBy (1 statement)
isVersionOf (1 statement)
BioModels Database
MODEL1008060001
BioModels Database MODEL1008060001
BioModels Database BIOMD0000000882
BioModels Database MODEL1008060001
BioModels Database BIOMD0000000882
hasTaxon (1 statement)
isPropertyOf (1 statement)
isDescribedBy (1 statement)
isVersionOf (1 statement)
Curation status
Curated
Tags
Connected external resources
Name | Description | Size | Actions |
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Model files |
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munz2000.xml | SBML L2V4 representation of Munz2009 - Zombie SIZRC | 33.51 KB | Preview | Download |
Additional files |
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MODEL1008060001-biopax2.owl | Auto-generated BioPAX (Level 2) | 9.81 KB | Preview | Download |
MODEL1008060001-biopax3.owl | Auto-generated BioPAX (Level 3) | 16.27 KB | Preview | Download |
MODEL1008060001.m | Auto-generated Octave file | 3.27 KB | Preview | Download |
MODEL1008060001.pdf | Auto-generated PDF file | 155.56 KB | Preview | Download |
MODEL1008060001.png | Auto-generated Reaction graph (PNG) | 42.00 KB | Preview | Download |
MODEL1008060001.sci | Auto-generated Scilab file | 179.00 Bytes | Preview | Download |
MODEL1008060001.svg | Auto-generated Reaction graph (SVG) | 16.18 KB | Preview | Download |
MODEL1008060001.vcml | Auto-generated VCML file | 18.73 KB | Preview | Download |
MODEL1008060001.xpp | Auto-generated XPP file | 2.11 KB | Preview | Download |
MODEL1008060001_url.xml | old xml file | 12.06 KB | Preview | Download |
MODEL1008060001_urn.xml | Auto-generated SBML file with URNs | 12.88 KB | Preview | Download |
munz2000.cps | COPASI version 4.24 (Build 197) representation of Munz2009 - Zombie SIZRC | 54.48 KB | Preview | Download |
munz2000.sedml | SEDML L1V2 representation of Munz2009 - Zombie SIZRC | 2.81 KB | Preview | Download |
- Model originally submitted by : Lukas Endler
- Submitted: Aug 6, 2010 6:54:45 PM
- Last Modified: Jan 20, 2020 2:18:36 PM
Revisions
-
Version: 7
- Submitted on: Jan 20, 2020 2:18:36 PM
- Submitted by: Mohammad Umer Sharif Shohan
- With comment: Automatically added model identifier BIOMD0000000882
-
Version: 4
- Submitted on: Dec 2, 2019 5:06:15 PM
- Submitted by: Mohammad Umer Sharif Shohan
- With comment: Automatically added model identifier BIOMD0000000882
-
Version: 2
- Submitted on: Jun 13, 2013 1:47:16 PM
- Submitted by: Lukas Endler
- With comment: Current version of Munz2009 - Zombie SIZRC
-
Version: 1
- Submitted on: Aug 6, 2010 6:54:45 PM
- Submitted by: Lukas Endler
- With comment: Original import of Munz2009_Zombie_SIZRC
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Legends
: Variable used inside SBML models
: Variable used inside SBML models
Species
Species | Initial Concentration/Amount |
---|---|
Susceptible Susceptibility |
500.0 mmol |
Zombie | 1.0 mmol |
Removal C64914 |
0.0 mmol |
Reactions
Reactions | Rate | Parameters |
---|---|---|
=> Susceptible | compartment*p | p = 0.05 |
Susceptible => ; Zombie | compartment*(beta*Susceptible*Zombie+delta*Susceptible) | delta = 1.0E-4; beta = 0.0095 |
Zombie => ; Susceptible | compartment*alpha*Susceptible*Zombie | alpha = 0.005 |
=> Removal; Susceptible, Zombie | compartment*(alpha*Susceptible*Zombie+delta*Susceptible) | delta = 1.0E-4; alpha = 0.005 |
Removal => ; Susceptible, Zombie | compartment*zeta*Removal | zeta = 1.0E-4 |
=> Zombie; Susceptible, Removal | compartment*(beta*Susceptible*Zombie+zeta*Removal) | zeta = 1.0E-4; beta = 0.0095 |
Curator's comment:
(added: 02 Dec 2019, 17:06:04, updated: 02 Dec 2019, 17:06:04)
(added: 02 Dec 2019, 17:06:04, updated: 02 Dec 2019, 17:06:04)
The model has been encoded in COPASI 4.24 (Build 197) and Figure 3 of the publication has been generated using COPASI 4.24