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Volumn 9, Issue 1, 2008, Pages 183-196

Conservation laws and asymptotic behavior of a model of social dynamics

Author keywords

Asymptotic stability; Boltzmann models; Discretization; Kinetic theory; Nonlinearity; Population models

Indexed keywords

BOLTZMANN EQUATION; CONSERVATION; CONTROL NONLINEARITIES; KINETIC THEORY; POPULATION DYNAMICS; PROBABILITY;

EID: 35248901033     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2006.09.012     Document Type: Article
Times cited : (50)

References (17)
  • 1
    • 0036000662 scopus 로고    scopus 로고
    • Generalized kinetic (Boltzmann) models: mathematical structures and applications
    • Arlotti L., Bellomo N., and De Angelis E. Generalized kinetic (Boltzmann) models: mathematical structures and applications. Math. Mod. Meth. Appl. Sci. 12 (2002) 567-591
    • (2002) Math. Mod. Meth. Appl. Sci. , vol.12 , pp. 567-591
    • Arlotti, L.1    Bellomo, N.2    De Angelis, E.3
  • 2
    • 2542432804 scopus 로고    scopus 로고
    • Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition
    • Bellomo N., Bellouquid A., and Delitala M. Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Math. Mod. Meth. Appl. Sci. 14 (2004) 1683-1733
    • (2004) Math. Mod. Meth. Appl. Sci. , vol.14 , pp. 1683-1733
    • Bellomo, N.1    Bellouquid, A.2    Delitala, M.3
  • 3
    • 0036951683 scopus 로고    scopus 로고
    • On the mathematical theory of vehicular traffic flow I-Fluid dynamic and kinetic modeling
    • Bellomo N., Delitala M., and Coscia V. On the mathematical theory of vehicular traffic flow I-Fluid dynamic and kinetic modeling. Math. Mod. Meth. Appl. Sci. 12 (2002) 1801-1843
    • (2002) Math. Mod. Meth. Appl. Sci. , vol.12 , pp. 1801-1843
    • Bellomo, N.1    Delitala, M.2    Coscia, V.3
  • 4
    • 33746069282 scopus 로고    scopus 로고
    • Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems
    • Bellomo N., and Forni G. Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems. Math. Mod. Meth. Appl. Sci. 16 (2006)
    • (2006) Math. Mod. Meth. Appl. Sci. , vol.16
    • Bellomo, N.1    Forni, G.2
  • 5
    • 27644478289 scopus 로고    scopus 로고
    • Mathematical methods and tools of the kinetic theory towards modelling complex biological systems
    • Bellouquid A., and Delitala M. Mathematical methods and tools of the kinetic theory towards modelling complex biological systems. Math. Mod. Meth. Appl. Sci. 15 (2005) 1639-1666
    • (2005) Math. Mod. Meth. Appl. Sci. , vol.15 , pp. 1639-1666
    • Bellouquid, A.1    Delitala, M.2
  • 6
    • 7244232531 scopus 로고    scopus 로고
    • From discrete kinetic and stochastic game theory to modelling complex systems in applied sciences
    • Bertotti M.L., and Delitala M. From discrete kinetic and stochastic game theory to modelling complex systems in applied sciences. Math. Mod. Meth. Appl. Sci. 14 (2004) 1061-1084
    • (2004) Math. Mod. Meth. Appl. Sci. , vol.14 , pp. 1061-1084
    • Bertotti, M.L.1    Delitala, M.2
  • 7
    • 33745220052 scopus 로고    scopus 로고
    • On the qualitative analysis of the solutions of a mathematical model of social dynamics
    • Bertotti M.L., and Delitala M. On the qualitative analysis of the solutions of a mathematical model of social dynamics. Appl. Math. Lett. 19 (2006) 1107-1112
    • (2006) Appl. Math. Lett. , vol.19 , pp. 1107-1112
    • Bertotti, M.L.1    Delitala, M.2
  • 8
    • 35248895739 scopus 로고    scopus 로고
    • H. Cabannes, R. Gatignol, L.S. Luo, The discrete Boltzmann equation (theory and applications). Revised from the lecture notes given at the University of California, Berkeley, CA, 1980 〈http://lapasserelle.com/henri_cabannes/Cours_de_Berkeley.pdf〉.
  • 9
    • 0001349719 scopus 로고    scopus 로고
    • On the connection between kinetic theory and a statistical model for the distribution of dominance in populations of social organisms
    • Caraffini G.L., Iori M., and Spiga G. On the connection between kinetic theory and a statistical model for the distribution of dominance in populations of social organisms. Riv. Mat. Univ. Parma 5 (1996) 169-181
    • (1996) Riv. Mat. Univ. Parma , vol.5 , pp. 169-181
    • Caraffini, G.L.1    Iori, M.2    Spiga, G.3
  • 10
    • 23244450458 scopus 로고    scopus 로고
    • A second step towards a stochastic mathematical description of human feelings
    • Carbonaro B., and Giordano C. A second step towards a stochastic mathematical description of human feelings. Math. Comput. Modelling 41 (2005) 587-614
    • (2005) Math. Comput. Modelling , vol.41 , pp. 587-614
    • Carbonaro, B.1    Giordano, C.2
  • 11
    • 0007193660 scopus 로고
    • Stochastic and Boltzmann-like models for behavioral changes, and their relation to game theory
    • Helbing D. Stochastic and Boltzmann-like models for behavioral changes, and their relation to game theory. Phys. A. 193 (1993) 241-258
    • (1993) Phys. A. , vol.193 , pp. 241-258
    • Helbing, D.1
  • 12
    • 0035470907 scopus 로고    scopus 로고
    • Traffic and related self-driven many-particle systems
    • Helbing D. Traffic and related self-driven many-particle systems. Rev. Modern Phys. 73 (2001) 1067-1141
    • (2001) Rev. Modern Phys. , vol.73 , pp. 1067-1141
    • Helbing, D.1
  • 13
    • 0026932946 scopus 로고
    • On the distribution of dominance in populations of social organisms
    • Jäger E., and Segel L.A. On the distribution of dominance in populations of social organisms. SIAM J. Appl. Math. 52 (1992) 1442-1468
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1442-1468
    • Jäger, E.1    Segel, L.A.2
  • 14
    • 0037372971 scopus 로고    scopus 로고
    • The modelling of political dynamics by generalized kinetic (Boltzmann) models
    • Lo Schiavo M. The modelling of political dynamics by generalized kinetic (Boltzmann) models. Math. Comput. Modelling 37 (2003) 261-281
    • (2003) Math. Comput. Modelling , vol.37 , pp. 261-281
    • Lo Schiavo, M.1
  • 16
    • 35248855415 scopus 로고    scopus 로고
    • Structured population dynamics. Mathematical modelling of population dynamics
    • Webb G.F. Structured population dynamics. Mathematical modelling of population dynamics. Banach Center Publ. Polish Acad. Sci. 63 (2004) 123-163
    • (2004) Banach Center Publ. Polish Acad. Sci. , vol.63 , pp. 123-163
    • Webb, G.F.1
  • 17
    • 9644289357 scopus 로고    scopus 로고
    • Thirty years of sociodynamics. An integrated strategy of modelling in the social sciences: application to migration and urban evolution
    • Weidlich W. Thirty years of sociodynamics. An integrated strategy of modelling in the social sciences: application to migration and urban evolution. Chaos Solitons Fractals 24 (2005) 45-56
    • (2005) Chaos Solitons Fractals , vol.24 , pp. 45-56
    • Weidlich, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.