Mathematical Modelling of Zombies 1st Edition by Robert Smith 9780776621685 0776621688

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ISBN 10: 0776621688
ISBN 13: 9780776621685
Author: Robert Smith

You’re outnumbered, in fear for your life, surrounded by flesheating zombies. What can save you now? Mathematics, of course. Mathematical Modelling of Zombies engages the imagination to illustrate the power of mathematical modelling. Using zombies as a “hook,” you’ll learn how mathematics can predict the unpredictable. In order to be prepared for the apocalypse, you’ll need mathematical models, differential equations, statistical estimations, discretetime models, and adaptive strategies for zombie attacks—as well as baseball bats and Dire Straits records (latter two items not included). In Mathematical Modelling of Zombies, Robert Smith? brings together a highly skilled team of contributors to fend off a zombie uprising. You’ll also learn how modelling can advise government policy, how theoretical results can be communicated to a nonmathematical audience and how models can be formulated with only limited information. A forward by Andrew Cartmel—former script editor of Doctor Who, author, zombie fan and all-round famous person in science-fiction circles—even provides a genealogy of the undead. By understanding how to combat zombies, readers will be introduced to a wide variety of modelling techniques that are applicable to other real-world issues (biology, epidemiology, medicine, public health, etc.). So if the zombies turn up, reach for this book. The future of the human race may depend on it.

Mathematical Modelling of Zombies 1st Edition Table of contents:

1. Introduction

• 1.1 A Media Invasion of Zombies
• 1.2 The Model
• 1.3 Analysis
• 1.4 The Power of a Right Hook
• 1.5 Sample Scenarios
• 1.6 Discussion

2. The Undead: A Plague on Humanity or a Powerful New Tool for Epidemiological Research?

• 2.1 Introduction
• 2.2 The Origins of Zombies and the Bubonic Plague
• 2.3 Modelling Epidemics
• 2.4 Modelling Endemics
• 2.5 Conclusions

3. When Zombies Attack! Alternate Ending

• 3.1 Title Sequence
• 3.2 The Story So Far
• 3.3 Behind-the-Scenes Look at the Making of the Alternate Ending
• 3.4 The End?
• 3.5 DVD Extras

4. When Humans Strike Back! Adaptive Strategies for Zombie Attacks

• 4.1 Introduction
• 4.2 Multiple Zombies
• 4.3 Adaptive Strategies for Humans
• 4.4 Discussion

5. Increasing Survivability in a Zombie Epidemic

• 5.1 Introduction
• 5.2 The Model
• 5.3 Modelling Specific Scenarios
• 5.4 Public Policy and Survivability
• 5.5 The Romero Scenario
• 5.6 Discussion

6. How Long Can We Survive?

• 6.1 Introduction
• 6.2 Random Walks and Diffusion
• 6.3 Mathematical Description of Diffusion
• 6.4 Solution to the Diffusion Equation
• 6.5 Time of First Interaction
• 6.6 Slowing the Infection
• 6.7 Conclusion

7. Demographics of Zombies in the United States

• 7.1 Introduction
• 7.2 Data Sources
• 7.3 Demographic Variables
• 7.4 Univariate Results
• 7.5 Multivariate Analyses
• 7.6 Conclusion

8. Is It Safe to Go Out Yet? Statistical Inference in a Zombie Outbreak Model

• 8.1 Mathematical Modelling with ODEs
• 8.2 Simple Model
• 8.3 More Realistic Model
• 8.4 Model Selection
• 8.5 Is It Safe to Go Out Yet?
• 8.6 Discussion

9. The Social Zombie: Modelling Undead Outbreaks on Social Networks

• 9.1 Introduction
• 9.2 Modelling a Zombie Invasion
• 9.3 Mathematical Zombies: A Theory of the Undead
• 9.4 Results: Does Humanity Have a Chance?
• 9.5 The Social Zombie: Adapting for Realism
• 9.6 Conclusion

10. Zombie Infection Warning System Based on Fuzzy Decision-Making

• 10.1 Introduction
• 10.2 Zombie Mathematical Models
• 10.3 Introduction to Fuzzy Systems
• 10.4 Experimental Results
• 10.5 Conclusions

11. Is There a Zombicidal Maniac Near You? You’d Better Hope So!

• 11.1 Introduction
• 11.2 Data Collection
• 11.3 Agent-Based Model
• 11.4 Stochastic Model
• 11.5 Transmission Dynamics
• 11.6 Zombie Management
• 11.7 Observations on Behaviour
• 11.8 Discussion

12. Zombies in the City: A NetLogo Model

• 12.1 Introduction
• 12.2 Methodology
• 12.3 Generic Behaviours of the Model
• 12.4 Effects of Speed and Skill
• 12.5 Implications for Education and Research
• 12.6 Conclusion

13. An Evolvable Linear Representation for Simulating Government Policy in Zombie Outbreaks

• 13.1 Introduction
• 13.2 The Discrete-Time Model
• 13.3 Representation of Government Policies
• 13.4 The Evolutionary Algorithm
• 13.5 Experiments
• 13.6 Results and Discussion
• 13.7 Conclusions and Future Directions

14. Baneling Dynamics in Legend of the Seeker

• 14.1 Introduction
• 14.2 Model Derivation
• 14.3 Analysis of a Simplified Baneling Model
• 14.4 Wizard’s Fire Intervention
• 14.5 Shadow Water Treatment
• 14.6 The Time-Delay Baneling Model
• 14.7 Numerical Simulations
• 14.8 Summary and Conclusions

15. The Zombie Swarm: Epidemics in the Presence of Social Attraction and Repulsion

• 15.1 Introduction
• 15.2 Model Construction
• 15.3 Basic Model Properties
• 15.4 Numerical Simulations
• 15.5 Epidemics with Treatment
• 15.6 Numerical Simulations and Travelling Pulses
• 15.7 Conclusion

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