Analyzing the Stability of Lanchester Warfare Models for Symmetric Warfare Scenarios

  • Authors

    • Rapheal Oladipo Fifelola Department of Mathematical Sciences, Faculty of Sciences, Nigerian Defence Academy.
    • OKAFOR UCHENWA LINUS DEPARTMENT OF MATHEMATICAL SCIENCES, FACULTY OF SCIENCES, NIGERIAN DEFENCE ACADEMY.
    • ADEDAPO KEHINDE FEMI DEPARTMENT OF PHYSICAL AND CHEMICAL SCIENCES,FEDERAL UNIVERSITY OF HEALTH SCIENCES
    2024-07-22
    https://doi.org/10.14419/4j2s5d90
  • Lanchester models, symmetric warfare, stability analysis, mathematical modeling, conflict dynamics.

  • Abstract

    This study analyzes the stability of Lancaster-type ODE models in symmetric warfare situations. In symmetric warfare situations, when the lethality coefficients (K) are equal for both forces in battle, the system exhibits marginal stability, characterized by poles at ± K, indicating that the model is stable in some regions and unstable in others. The present research illustrates a controlled rhythmicity, and these forces show a harmonized balance between the two battling forces in order to develop a strong strategy and decision for military.

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  • How to Cite

    Fifelola, R. O., OKAFOR UCHENWA LINUS, & ADEDAPO KEHINDE FEMI. (2024). Analyzing the Stability of Lanchester Warfare Models for Symmetric Warfare Scenarios. International Journal of Applied Mathematical Research, 13(2), 69-73. https://doi.org/10.14419/4j2s5d90