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( Lang Victoria Lee ),( Sang Gu ) 한국수학교육학회 2014 뉴스레터 Vol.30 No.5
The notion of the reanimated dead (i.e. "zombies") has a strong historical basis that has fascinated the general public for centuries. The zombie still remains a popular figure in entertainment media; specifically, in video games. Expanding upon the well-known S.I.R. epidemiological model. we first examine basic models for zombie infection first introduced by Munz, Hudea, Imad & Smith? (2009). Specifically, we modify these models to be visualized online via Sage, an open-source mathematics software based in the Python programming language, that allows for direct user interaction. We then focus on viewing mathematically "realistic" population trajectories for the different classes of zombies from Left 4 Dead<http://www.14d.com/blog/> Valve Corporation`` s immensely popular video game series that revolves around human players surviving a pandemic of zombie infection. The respective strengths, weaknesses, and dynamics of each zombie class are mathematically established, and all outcomes are numerically realized with online Sage tools. These models are available for viewing, manipulation, and use in a mobile environment at <http://matrix. skku.ac.kr/2014-Zombie-Model>and, thus, can serve as an effective and exciting academic tool for the interested student of any college-level Ordinary Differential Equations course.
( Victoria Lang ),( Sang Gu Lee ) 한국수학교육학회 2014 수학교육 학술지 Vol.2014 No.2
The notion of the reanimated dead (i.e. “zombies”) has a strong historical basis that has fascinated the general public for centuries. The zombie still remains a popular figure in entertainment media; specifically, in video games. The SIR model labels these three compartments S = number susceptible, I =number infectious, and R =number recovered (immune). This is a good and simple model for many infectious diseases including measles, mumps and rubella. Expanding upon the well-known SIR epidemiological model, we first examine basic models for zombie infection first introduced by Munz, Hudea, Imad & Smith? (2009). Specifically, we modify these models to be visualized online via Sage, an open-source mathematics software based in the Python programming language, that allows for direct user interaction. We then focus on viewing mathematically “realistic” population trajectories for the different classes of zombies from Left 4 Dead <http://www.l4d.com/blog/>, Valve Corporation`s immensely popular video game series that revolves around human players surviving a pandemic of zombie infection. The respective strengths, weaknesses, and dynamics of each zombie class are mathematically established, and all outcomes are numerically realized with online Sage tools. These models are available for viewing, manipulation, and use in a mobile environment at <http://matrix.skku.ac.kr/2014-Zombie-Model> and, thus, can serve as an effective and exciting academic tool for the interested student of any college-level Ordinary Differential Equations course.