Figure 2 - uploaded by Wadim Strielkowski
Content may be subject to copyright.
Source publication
Our paper presents a new approach to mathematical modeling of intertemporal interactions betweenspecies based on differential equations. It employs the example of interactions between vampires and humans using several types of vampire behavior described in popular fiction literature, comic books, films and TV series. Although mathematical modeling...
Context in source publication
Context 1
... is 15 times less than the average population growth in 2010 (Kapitsa, 2010). Time (in years) Population Value (log scale) Figure 2 above depicts the logarithmic scale of the exponential dynamics and the actual dynamics built using the values of population growth starting from 8000 B.C ( McEvedy and Jones, 1978). It is obvious that there is some hidden factor preventing human population from the explosive growth. ...
Similar publications
In every country there are many fictional creatures depicting evil. In the western world, fictional creatures who often appear in horror stories are vampires and werewolves. Many released movies expose the conflict between humans with one or both creatures. In this paper, the interaction among humans, vampires and werewolves is modeled using a syst...
Citations
... The paper concludes with a number of classroom extension exercises. Strielkowski et al. (2013a) use a Lotka-Volterra predator-prey system to model the interaction of vampires and humans. They consider three scenarios, representing the portrayal of the human-vampire interaction in various novels. ...
... Hartl and Mehlmann (1982) were the first of many economists to use mathematical optimisation and control theory to model a dynamic confrontation between the two species. Later, Strielkowski et al. (2012Strielkowski et al. ( , 2013 modelled the human-vampire problem based on popular fiction literature, comic books, movies and TV series to determine whether peaceful coexistence of humans and vampires would be scientifically possible. ...
Amusing research can improve student learning of a topic and make it more accessible to a more general and more diverse audience, thereby contributing to a better understanding of science in the general public. Humorous science generally applies serious science to unusual but intriguing research questions, while also including the occasional spoof paper. Often, it includes a more serious message hidden between the lines or disguised by tackling a ridiculous topic. This paper highlights some of the weird and wonderful research findings hidden amongst the scientific literature related to surveying and the spatial sciences, aiming to ensure that we remember the funnier side of science and providing answers to questions that we may have been too afraid to ask. Topics covered include producing and presenting research, mysteries encountered in the workplace office, employing vampires and zombies to solve scientific problems, innovative approaches to animal mapping and ecology, grappling with applied physics in our professional and everyday lives, Work Health and Safety (WHS) considerations and examples from surveying practice.
... Using a different approach, Strielkowski et al. (2012Strielkowski et al. ( , 2013 in check. Given our persistent population growth and vampires being rarely encountered today, the former appeared more likely. ...
This is the third in a series of papers celebrating some of the weird and wonderful research findings hidden amongst the scientific literature. It aims to ensure that we remember the funnier side of science and provides answers to questions we may have been too afraid to ask. Here, we explore the fascinating world of vampires and zombies, and their contribution to solving scientific problems.
... Overall, modeling the fight between humans and vampires was not only fun but also provided an opportunity to perpetuate a quite exceptional stream of research on mathematical models of interactions between these species (for an overview see, e.g., Strielkowski et al. 2013). Still, the application case also constitutes an obvious limitation of our paper, because it does not allow for empirical validation or parameterization of the simulation results. ...
Real-life examples have demonstrated that technological advantages might not be sufficient to establish a leading market position. Insights into the emergence of a so-called dominant design are therefore not only of academic interest but are also of practical relevance. In the past, the paths leading toward a dominant design have typically been examined ex-post by means of case studies, which obviously limits the ability to systematically analyze factors that might play a role in these formation processes. In contrast, agent-based modeling and simulation, a relatively new method, is particularly well suited for the systematic investigation of these complex processes as it allows for variation of the parameters describing the market under consideration followed by observation of the corresponding system behavior. In this paper, we will demonstrate the ability of an agent-based approach to simulate the emergence of dominant designs in a hypothetical application taken from the world of vampires, in which humans must choose weapons to defend themselves against assaults from their supernatural adversaries. This setting makes it possible to test the effectivity of various measures, such as advertising or providing opportunities to practice, aimed at supporting market diffusion of the respective weapons. It turns out that technologically superior alternatives often, but not always, succeed in becoming the dominant design and that applying certain measures (and countermeasures) can indeed significantly influence this outcome.
... There are many interesting examples when economists are trying to apply the tools of mathematics and chaos theory to model strange occurrences in market theory (see e.g. Filatov and Makolskaya, 2015) or even some unusual or often bizarre events (see Strielkowski et al., 2013). The new domain of research in economics is known as Chaotic Dynamics. ...
... It includes papers describing fictional epidemics from the perspective of practitioners (Stanley 2012;Smith 2015), using zombies as a teaching tool (Lofgren et al. 2016), models of the epidemic (e.g. Munz et al. 2009;Hefferman and Wilson 2014;Alemi et al. 2015;Riebling and Schmitz 2016) and related concepts such as the use of vampires in predatorprey models (Strielkowski, Lisin and Welkins 2013). While largely light-hearted thought experiments, these papers highlight the strengths of a fictional epidemic. ...
Mathematical modeling is an important tool in biological research, allowing for the synthesis of results from many studies into an understanding of a system. Despite this, the need for extensive subject matter knowledge and complex mathematics often leaves modeling as an esoteric subspecialty. A two-fold approach can be used to make modeling more approachable for students and those interested in obtaining a functional knowledge of modeling. The first is the use of a popular culture disease system ? a zombie epidemic ? to allow for exploration of the concepts of modeling using a flexible framework. The second is the use of available interactive and non-calculus based tools to allow students to work with and implement models to cement their understanding.
... unterschiedliche Populationen von Untoten (zum Beispiel Vampire) miteinzubeziehen (Strielkowski et al. 2013a), die Rolle der Pflegekräfte (Stanley 2012) zu erforschen oder die Möglichkeiten einer friedlichen Koexistenz (Strielkowski et al. 2013b) ...
Im vorliegenden Beitrag werden wir in vier analytischen Schritten aufzeigen, dass es sich bei der idealtypischen Zombieapokalypse um eine spezifische Konstellation oder Figuration des Sozialen, und sich damit analytisch keineswegs um einen Sonderfall handelt. Ausgangspunkt ist die soziologischen Kritik des bestehenden Modells der Zombieapokalypse, die das Fehlen sozialer Figurations- und Gruppenprozesse in den Fokus rückt. Darauf aufbauend entwickeln wir, unter Rückgriff auf den soziologischen Wissensbestand, plausible Szenarien sozialer Reaktionen. Die Explikation dieser Szenarien erfolgt mittels Simulationen. Abschließend integrieren wir die so gewonnen Erkenntnis in ein erweitertes Modell der "figurativen Zombieapokalypse"
Human history is full of infectious diseases that would leave tens of thousands and more dead. The coronavirus pandemic we are facing today might be a nature's mechanism to prevent overpopulation and therefore an almost sure extinction of the humanity.
Infections spread violently, just like vampires, but we have many ways how to stop them.
Till the last drop! is a book that employs mathematical models to evaluate different scenarios of infectious diseases and their impact on mankind. Read more at www.emilywelkins.com
Richard Matheson explores the demography of vampirism in a hybridic last human on earth and vampire apocalypse novella, I Am Legend (1954). The survivor Robert Neville explores the legend and science of vampirism, grappling with the rhizomatic ontology of the gothic creatures; in turn, Matheson offers a dual portrait of monstrosity of the predator vampires and of Neville as a gothic hunter and slayer of vampires. Narratively, imagistically, and thematically, Matheson presents a Malthusian demographic dynamic (and struggle) as Neville deepens his understanding of vampirism, allowing him to refine his vampireslaying techniques.
We apply models with differential equations to study the possible vampiric disease and to predict its spread across the world. Careful review of all available sources revealed that the mankind might survive the outbreak by laboriously killing all infected and (already) undead.
