393316
notes: deathrate of quarantined
constant: true
units: metaid_0000073
value: 1.0E-4
type: Parameter

863023
stoichiometry: 1.0
species: 393280
type: SpeciesReference

393312
notes: rate of zombie bites
constant: true
units: metaid_0000074
value: 0.0095
type: Parameter

862927
exponent: 1.0
scale: 3
multipler: 1.0
kind: ITEM
type: SBMLUnit

862903
exponent: -1.0
scale: 3
multipler: 1.0
kind: ITEM
type: SBMLUnit

metaid_0000071
unit: 862855
name: individuals(thousands)
type: SBMLUnitsDef

863096
stoichiometry: 1.0
species: 393282
type: SpeciesReference

metaid_0000075
unit: 862927
unit: 862915
name: thousand individuals per day
type: SBMLUnitsDef

393296
kinetic law: 863267
product: 863254
reactant: 863242
fast: false
reversible: false
type: Reaction

393282
constant: false
boundary condition: false
has only substance units: true
initial concentration: 0.0
initial amount: NaN
in compartment: 393278
name: Zombie
type: Species

393294
kinetic law: 863230
product: 863218
reactant: 863205
fast: false
reversible: false
type: Reaction

393284
constant: false
boundary condition: false
has only substance units: true
initial concentration: 0.0
initial amount: NaN
in compartment: 393278
name: Quarantined
type: Species

393278
constant: true
size: 1.0
spatial dimensions: 3.0
name: environment
type: Compartment

393290
kinetic law: 863121
product: 863108
reactant: 863096
fast: false
reversible: false
type: Reaction

862951
stoichiometry: 1.0
species: 393279
type: SpeciesReference

863072
stoichiometry: 1.0
species: 393284
type: SpeciesReference

393288
kinetic law: 863048
modifier: 863036
product: 863023
reactant: 863011
fast: false
reversible: false
type: Reaction

393280
constant: false
boundary condition: false
has only substance units: true
initial concentration: 0.0
initial amount: NaN
in compartment: 393278
name: Infected
type: Species

863205
stoichiometry: 1.0
species: 393280
type: SpeciesReference

863181
stoichiometry: 1.0
species: 393283
type: SpeciesReference

862975
stoichiometry: 1.0
species: 393279
type: SpeciesReference

863254
stoichiometry: 1.0
species: 393282
type: SpeciesReference

863133
stoichiometry: 1.0
species: 393284
type: SpeciesReference

862867
exponent: 1.0
scale: 0
multipler: 86400.0
kind: SECOND
type: SBMLUnit

393283
constant: false
boundary condition: false
has only substance units: true
initial concentration: 0.0
initial amount: NaN
in compartment: 393278
name: Removed
type: Species

metaid_0000074
unit: 862903
unit: 862891
name: per day per thousand individuals
type: SBMLUnitsDef

393318
notes: rate of zombification
constant: true
units: metaid_0000073
value: 0.05
type: Parameter

MODEL1008060002
units def: metaid_0000074
reaction: 393285
units def: metaid_0000072
parameter: 393316
length unit: 821056
parameter: 393318
parameter: 393308
is described by: ISBN:1607413477
name: Munz2009 - Zombie SIZRQ
rule: 393306
parameter: 393311
units def: metaid_0000071
curated: false
type: SBMLModel
reaction: 393290
reaction: 393292
substance units: metaid_0000071
parameter: 393315
species: 393282
species: 393280
notes: Munz2009 - Zombie SIZRQ This is the model with latent infection and quarantine 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: MODEL1008060002 . 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.
area units: 237671
reaction: 393297
time units: metaid_0000072
reaction: 393289
parameter: 393310
reaction: 393294
volume units: 290956
species: 393283
parameter: 393314
reaction: 393296
reaction: 393286
reaction: 393288
parameter: 393319
units def: metaid_0000075
initial assignment: MODEL1008060002#
units def: metaid_0000073
species: 393284
parameter: 393320
parameter: 393312
reaction: 393293
compartment: 393278
species: 393279

393285
kinetic law: 862963
product: 862951
fast: false
reversible: false
type: Reaction

393293
kinetic law: 863193
product: 863181
reactant: 863169
fast: false
reversible: false
type: Reaction

393289
kinetic law: 863084
product: 863072
reactant: 863060
fast: false
reversible: false
type: Reaction

862987
stoichiometry: 1.0
species: 393283
type: SpeciesReference

393314
notes: quarantine rate for infected
constant: true
units: metaid_0000073
value: 1.0E-4
type: Parameter

393308
constant: true
units: metaid_0000071
value: 500.0
name: starting Population
type: Parameter

862915
exponent: -1.0
scale: 0
multipler: 86400.0
kind: SECOND
type: SBMLUnit

862891
exponent: -1.0
scale: 0
multipler: 86400.0
kind: SECOND
type: SBMLUnit

863011
stoichiometry: 1.0
species: 393279
type: SpeciesReference

393311
notes: background death rate
constant: true
units: metaid_0000073
value: 1.0E-4
type: Parameter

393279
constant: false
boundary condition: false
has only substance units: true
initial concentration: NaN
initial amount: NaN
in compartment: 393278
name: Susceptible
type: Species

metaid_0000073
unit: 862879
name: per day
type: SBMLUnitsDef

862879
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multipler: 86400.0
kind: SECOND
type: SBMLUnit

863060
stoichiometry: 1.0
species: 393280
type: SpeciesReference

393319
notes: rate of undead resurrection
constant: true
units: metaid_0000073
value: 1.0E-4
type: Parameter

393286
kinetic law: 862999
product: 862987
reactant: 862975
fast: false
reversible: false
type: Reaction

393320
notes: rate of zombie destruction
constant: true
units: metaid_0000074
value: 0.005
type: Parameter

863169
stoichiometry: 1.0
species: 393280
type: SpeciesReference

393292
kinetic law: 863157
product: 863145
reactant: 863133
fast: false
reversible: false
type: Reaction

863218
stoichiometry: 1.0
species: 393282
type: SpeciesReference

863108
stoichiometry: 1.0
species: 393284
type: SpeciesReference

863279
stoichiometry: 1.0
species: 393282
type: SpeciesReference

863291
stoichiometry: 1.0
species: 393283
type: SpeciesReference

393315
notes: quarantine rate for zombies
constant: true
units: metaid_0000073
value: 1.0E-4
type: Parameter

862855
exponent: 1.0
scale: 3
multipler: 1.0
kind: ITEM
type: SBMLUnit

863145
stoichiometry: 1.0
species: 393283
type: SpeciesReference

393297
kinetic law: 863315
modifier: 863303
product: 863291
reactant: 863279
fast: false
reversible: false
type: Reaction

metaid_0000072
unit: 862867
name: days
type: SBMLUnitsDef

863242
stoichiometry: 1.0
species: 393283
type: SpeciesReference

393310
constant: false
units: metaid_0000075
value: NaN
type: Parameter