Numerical PredatorPrey Modeling of Zombie Human Interactions

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Numerical Predator-Prey Modeling of Zombie Human
Interactions

• Presenter Paul Edmon
• Graduate Student Colloquium
• 10-29-08

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Outline

• Zombies and the Zombie Apocalypse
• Modeling
• Results
• Future Work

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Zombies

• Undead Humans/Creatures
• Reanimation Causes
• Virus/Plague
• Alien Infestation
• Nanomachines
• Magick
• Perpetrators
• Vampires/Mages
• Biomedical Corporations
• Mad Scientists
• Liches

Credit Declan McCullagh
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Zombies Biogenesis

• Food Source
• Brains
• Living Flesh
• Procreation
• Bite
• Brain Consumption
• Airborne/Touch
• Death
• Destruction of Brain/Head
• Vaporization
• Holy Sites/Objects

Credit Van Helsing
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Why Model This?

• Test Weapons Systems and Response
• Casualty Rate
• Reaction Speeds
• Give Us the Edge Against Our Undead Nemesis

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The Model

• Uses a 4th Order Runge-Kutta Scheme to solve the
  Lotka-Volterra Equations
• With the following variables
• hNumber of Humans
• zNumber of Zombies
• aHuman Growth Rate 1/t
• bHuman Predation Rate L2/t
• gZombie Death Rate L2/t
• dZombie Growth Rate L2/t

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Assumptions

• 2 Zombie Types
• Slow Human Walking Speed (1.3 m/s)
• Fast 5.2 m/s
• Reach 1 m
• For every human killed by a zombie a new zombie
  arises
• Human
• Procreation Assumed to live 67 yrs on average
  with a .5 growth rate
• Defense Varies Depending on Situation
• All interactions are defined to occur in a
  particular area.

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Scenario 1 Ash

• Area 5000 sq. m
• Ashs Speed 3.9 m/s
• Ashs Weapon Shotgun
• Range 45 m

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Scenario 2 Apartment

• Area 5000 sq. m
• Number of Humans 100
• Speed 2.6 m/s
• Weapons
• Fists/Bats 1 m
• Shotgun 45 m

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Scenario 2 Apartment

• 2 Cops
• Weapon Shotgun
• Speed 2.6 m/s

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Scenario 3 Seattle

• A 21 billion sq. m
• 4 million Humans
• Weapon Shotgun

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Scenario 3 Seattle

• 1200 Police
• Speed 26.8 m/s
• Weapons
• Shotgun
• M16 550 m

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Scenario 4 Washington State

• A 184 billion sq. m
• 6.5 million People
• Weapon Shotgun

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Scenario 4 Washington State

• 60,000 Police, National Guard and Military
  Personnel
• Weapon M16

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Scenario 5 United States of America

• A 9.8 trillion sq. m
• 304 million Humans
• Weapon Shotgun

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Scenario 5 United States of America

• 6.6 Million Police, National Guard and Military
  Personnel (including half retirees)
• Weapon M16

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Scenario 6 Earth

• A 149 billion sq. m
• 6.7 billion Humans
• Weapon Shotgun

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Scenario 6 Earth

• 22 Million in Military (including reserves)
• Weapon
• AK-47 450 m

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Summary

• If everyone in the world owned a shotgun then we
  could stave of a massive zombie holocaust
• Just the military alone could stave off this
  horror
• Just so long as people arent being completely
  stupid/retarded

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Future Work

• Finish writing 2-D N-Body simulation for
  Predator-Prey Interactions
• Verify Results of Lotka-Volterra Equations
• Stave off Zombie Apocalypse