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020 _a9783031672101
_9978-3-031-67210-1
024 7 _a10.1007/978-3-031-67210-1
_2doi
050 4 _aQA843-871
072 7 _aGPFC
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aGPFC
_2thema
100 1 _aAffili, Elisa.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_983323
245 1 2 _aA New Lotka-Volterra Model of Competition With Strategic Aggression
_h[electronic resource] :
_bCivil Wars When Strategy Comes Into Play /
_cby Elisa Affili, Serena Dipierro, Luca Rossi, Enrico Valdinoci.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aXII, 153 p. 11 illus., 10 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFrontiers in Mathematics,
_x1660-8054
505 0 _aIntroduction -- Description of the model -- Description of the main results -- Toolbox -- Basins of attraction -- Parameters dependence -- Strategies of the first population.
520 _aThis 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.
650 0 _aDynamical systems.
650 0 _aDifferential equations.
650 0 _aMathematical optimization.
_965522
650 0 _aMathematical models.
_966910
650 0 _aSystem theory.
_966519
650 1 4 _aDynamical Systems.
650 2 4 _aDifferential Equations.
650 2 4 _aOptimization.
_965528
650 2 4 _aMathematical Modeling and Industrial Mathematics.
_966912
650 2 4 _aComplex Systems.
_966520
700 1 _aDipierro, Serena.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_983324
700 1 _aRossi, Luca.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_983325
700 1 _aValdinoci, Enrico.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_983326
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031672095
776 0 8 _iPrinted edition:
_z9783031672118
830 0 _aFrontiers in Mathematics,
_x1660-8054
_972228
856 4 0 _uhttps://doi.org/10.1007/978-3-031-67210-1
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c62922
_d62922