The planar Lanchester model of insurgent conflict: intricate collateral damage functions and global bifurcations

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ID: 327179
2026
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Abstract
Abstract In this article, by extending the existing scholarship on the Lanchester model in asymmetric conflicts, particularly counterinsurgency, we introduce a novel class of collateral damage curves with specific mathematical features, including saturation and non-monotonicity. The interaction between the harmed population and active insurgents will create conditions for the emergence of a Hopf bifurcation that depends on insurgents' firepower, government recruitment, and intelligence rate. Furthermore, given the characteristics of the collateral damage functions, the possibility of multiple equilibria in our conflict model, along with periodic solutions, can lead to a homoclinic bifurcation and to non-trivial boundaries for victory/defeat in the conflict.
Reference Key
openalex_W7204829086 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Rouzbeh Aghaieebeiklavasani, Gholam Reza Rokni Lamouki
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Journal ima journal of management mathematics
Year 2026
DOI
10.1093/imaman/dpag030
URL
https://doi.org/10.1093/imaman/dpag030
Keywords Keywords not found

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