A Civil Wars When Strategy Comes Into Play Affili, Elisa. creator author. aut http://id.loc.gov/vocabulary/relators/aut Dipierro, Serena. author. aut http://id.loc.gov/vocabulary/relators/aut Rossi, Luca. author. aut http://id.loc.gov/vocabulary/relators/aut Valdinoci, Enrico. author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

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access XII, 153 p. 11 illus., 10 illus. in color. online resource. This monograph introduces a new mathematical model in population dynamics that describes two species sharing the same environmental resources in a situation of open hostility. Its main feature is the expansion of the family of Lotka-Volterra systems by introducing a new term that defines aggression. Because the model is flexible, it can be applied to various scenarios in the context of human populations, such as strategy games, competition in the marketplace, and civil wars. Drawing from a variety of methodologies within dynamical systems, ODEs, and mathematical biology, the authors' approach focuses on the dynamical properties of the system. This is accomplished by detecting and describing all possible equilibria, and analyzing the strategies that may lead to the victory of the aggressive population. Techniques typical of two-dimensional dynamical systems are used, such as asymptotic behaviors regulated by the Poincaré–Bendixson Theorem. A New Lotka-Volterra Model of Competition With Strategic Aggression will appeal to researchers and students studying population dynamics and dynamical systems, particularly those interested in the cross section between mathematics and ecology. Introduction -- Description of the model -- Description of the main results -- Toolbox -- Basins of attraction -- Parameters dependence -- Strategies of the first population. by Elisa Affili, Serena Dipierro, Luca Rossi, Enrico Valdinoci. Dynamical systems Differential equations Mathematical optimization Mathematical models System theory Dynamical Systems Differential Equations Optimization Mathematical Modeling and Industrial Mathematics Complex Systems QA843-871 9783031672101 https://doi.org/10.1007/978-3-031-67210-1 https://doi.org/10.1007/978-3-031-67210-1 240831 20251030112924.0 978-3-031-67210-1