03842nam a22006135i 4500 978-3-031-67210-1 DE-He213 20251030112924.0 cr nn 008mamaa 240831s2024 sz | s |||| 0|eng d 9783031672101 978-3-031-67210-1 10.1007/978-3-031-67210-1 doi QA843-871 GPFC bicssc MAT034000 bisacsh GPFC thema Affili, Elisa. author. aut http://id.loc.gov/vocabulary/relators/aut 83323 A New Lotka-Volterra Model of Competition With Strategic Aggression [electronic resource] : Civil Wars When Strategy Comes Into Play / by Elisa Affili, Serena Dipierro, Luca Rossi, Enrico Valdinoci. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. XII, 153 p. 11 illus., 10 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontiers in Mathematics, 1660-8054 Introduction -- Description of the model -- Description of the main results -- Toolbox -- Basins of attraction -- Parameters dependence -- Strategies of the first population. 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. Dynamical systems. Differential equations. Mathematical optimization. 65522 Mathematical models. 66910 System theory. 66519 Dynamical Systems. Differential Equations. Optimization. 65528 Mathematical Modeling and Industrial Mathematics. 66912 Complex Systems. 66520 Dipierro, Serena. author. aut http://id.loc.gov/vocabulary/relators/aut 83324 Rossi, Luca. author. aut http://id.loc.gov/vocabulary/relators/aut 83325 Valdinoci, Enrico. author. aut http://id.loc.gov/vocabulary/relators/aut 83326 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031672095 Printed edition: 9783031672118 Frontiers in Mathematics, 1660-8054 72228 https://doi.org/10.1007/978-3-031-67210-1 ZDB-2-SMA ZDB-2-SXMS 62922 62922