A model of invasion by bodysnatchers from the far reaches of space

ABSTRACT

A discrete model of invasion by subversive alien bodysnatchers is constructed and analysed numerically as a proposed undergraduate project. Several extensions of the model are demonstrated, including a spatial system of ten planets arranged on a one-dimensional lattice, and we discuss some of the practical considerations that arise when supervising such a project. Exercises for further student investigations of the model are suggested.

Keywords:

• Mathematical modelling
• Lyapunov exponents
• student project
• numerical investigation

Disclosure statement

No potential conflict of interest was reported by the author.

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Notes

1 To model a type of bodysnatcher who seizes control of the host biological human (rather than replacing them with a replica), this would need to be amended unless the parasite's influence granted longevity.

2 If the type of bodysnatcher being modelled is one which takes over a biological human's body, then this set of fixed points will eventually decay to $(0,0)$.