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Lanchester for cyber: The mixed epidemic‐combat model

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  • Harrison C. Schramm
  • Donald P. Gaver

Abstract

Future conflict between armed forces will occur both in the physical domain as well as the information domain. The linkage of these domains is not yet fully understood. We study the dynamics of a force subject to kinetic effects as well as a specific network effect–spreading malware. In the course of our study, we unify two well‐studied models: the Lanchester model of armed conflict and deterministic models of epidemiology. We develop basic results, including a rule for determining when explicit modeling of network propagation is required. We then generalize the model to a force subdivided by both physical and network topology, and demonstrate the specific case where the force is divided between front‐ and rear‐echelons. © 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013

Suggested Citation

  • Harrison C. Schramm & Donald P. Gaver, 2013. "Lanchester for cyber: The mixed epidemic‐combat model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(7), pages 599-605, October.
    • Handle: RePEc:wly:navres:v:60:y:2013:i:7:p:599-605
    DOI: 10.1002/nav.21555
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    References listed on IDEAS

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    1. Bettencourt, Luís M.A. & Cintrón-Arias, Ariel & Kaiser, David I. & Castillo-Chávez, Carlos, 2006. "The power of a good idea: Quantitative modeling of the spread of ideas from epidemiological models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 513-536.
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    Cited by:

    1. Connor McLemore & Donald Gaver & Patricia Jacobs, 2016. "A model for geographically distributed combat interactions of swarming naval and air forces," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(7), pages 562-576, October.
    2. Chad W. Seagren & Donald P. Gaver & Patricia A. Jacobs, 2019. "A stochastic air combat logistics decision model for Blue versus Red opposition," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(8), pages 663-674, December.

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