Munz2009 - Zombie SIZRC

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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

Metadata information

is (3 statements)
BioModels Database MODEL1008060001
BioModels Database MODEL1008060001
BioModels Database BIOMD0000000882

hasTaxon (1 statement)
Taxonomy Homo sapiens

isPropertyOf (1 statement)
Gene Ontology viral process

isDescribedBy (1 statement)
isVersionOf (1 statement)
Human Disease Ontology disease by infectious agent

Curation status
Curated
Tags

Connected external resources

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Name Description Size Actions

Model files
munz2000.xml SBML L2V4 representation of Munz2009 - Zombie SIZRC 33.51 KB Preview | Download

Additional files
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 public model Download this version
    • Submitted on: Jan 20, 2020 2:18:36 PM
    • Submitted by: Mohammad Umer Sharif Shohan
    • With comment: Automatically added model identifier BIOMD0000000882
  • Version: 4 public model Download this version
    • Submitted on: Dec 2, 2019 5:06:15 PM
    • Submitted by: Mohammad Umer Sharif Shohan
    • With comment: Automatically added model identifier BIOMD0000000882
  • Version: 2 public model Download this version
    • Submitted on: Jun 13, 2013 1:47:16 PM
    • Submitted by: Lukas Endler
    • With comment: Current version of Munz2009 - Zombie SIZRC
  • Version: 1 public model Download this version
    • Submitted on: Aug 6, 2010 6:54:45 PM
    • Submitted by: Lukas Endler
    • With comment: Original import of Munz2009_Zombie_SIZRC

(*) 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
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)
The model has been encoded in COPASI 4.24 (Build 197) and Figure 3 of the publication has been generated using COPASI 4.24