메뉴 건너뛰기




Volumn 29, Issue 1-2, 2000, Pages 125-139

Kinetic equations modelling population dynamics

Author keywords

Cauchy problem; Generalized Boltzmann equation; Kinetic models; Population dynamics

Indexed keywords


EID: 0034355021     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1080/00411450008205864     Document Type: Article
Times cited : (46)

References (32)
  • 1
    • 0002022527 scopus 로고    scopus 로고
    • [ADa] Adam J., and Bellomo N, A Survey of Models on Tumor Immune System Dynamics, Birkhäuser, Boston, (1996).
    • (1996)
  • 2
    • 0000197530 scopus 로고
    • On the Boltzmann equation
    • [AKa] Arkeryd L., On the Boltzmann equation, Arch. Rational Mech. Anal., 45, 1-34, (1972).
    • (1972) Arch. Rational Mech. Anal. , vol.45 , pp. 1-34
    • Arkeryd, L.1
  • 3
    • 51249186677 scopus 로고
    • Dual semigroups and second order linear elliptic boundary value problems
    • [AMa] Amann H., Dual semigroups and second order linear elliptic boundary value problems, Israel J. Math., 45, 225-254, (1983).
    • (1983) Israel J. Math. , vol.45 , pp. 225-254
    • Amann, H.1
  • 4
    • 0019188958 scopus 로고
    • Biased random walk models for chamotaxis and related diffusion approximation
    • [ALa] Alt W., Biased random walk models for chamotaxis and related diffusion approximation, J. Math. Biol., 9, 147-177, (1980).
    • (1980) J. Math. Biol. , vol.9 , pp. 147-177
    • Alt, W.1
  • 6
    • 21844501550 scopus 로고
    • On a new model of population dynamics with stochastic interaction
    • [ARb] Arlotti L. and Bellomo N., On a new model of population dynamics with stochastic interaction, Transp. Theory Statist. Phys., 24, 431-443, (1995).
    • (1995) Transp. Theory Statist. Phys. , vol.24 , pp. 431-443
    • Arlotti, L.1    Bellomo, N.2
  • 7
    • 0003005010 scopus 로고    scopus 로고
    • Qualitative analysis of an equation modelling tumor-host dynamics
    • [ARc] Arlotti L. and Lachowicz M., Qualitative analysis of an equation modelling tumor-host dynamics, Math. Comp. Modelling, 23, 11-29, (1996).
    • (1996) Math. Comp. Modelling , vol.23 , pp. 11-29
    • Arlotti, L.1    Lachowicz, M.2
  • 8
    • 0002469446 scopus 로고
    • Mathematical biology and kinetic theory: Evolution of the dominance in a population of interacting organisms
    • Boffi V. et Al. Eds., World Sci., London, Singapore
    • [BEa] Bellomo N. and Lachowicz M., Mathematical biology and kinetic theory: Evolution of the dominance in a population of interacting organisms, in Nonlinear Kinetic Theory arid Hyperbolic Systems, Boffi V. et Al. Eds., World Sci., London, Singapore, 11-20, (1992).
    • (1992) Nonlinear Kinetic Theory Arid Hyperbolic Systems , pp. 11-20
    • Bellomo, N.1    Lachowicz, M.2
  • 9
    • 0001692786 scopus 로고    scopus 로고
    • On the kinetic (cellular) theory for the competition between tumors and host-immune system
    • [BEb] Bellomo N., Forni G. and Preziosi L., On the kinetic (cellular) theory for the competition between tumors and host-immune system, J. Biol. Systems, 4, 479-502, (1996).
    • (1996) J. Biol. Systems , vol.4 , pp. 479-502
    • Bellomo, N.1    Forni, G.2    Preziosi, L.3
  • 10
    • 0002092204 scopus 로고    scopus 로고
    • On a kinetic theory of cytokine mediated interactions between tumors and immune host system
    • [BEc] Bellomo N., Firmani B., Guerri L., and Preziosi L., On a kinetic theory of cytokine mediated interactions between tumors and immune host system, ARI Journal, 1, 21-32, (1997).
    • (1997) ARI Journal , vol.1 , pp. 21-32
    • Bellomo, N.1    Firmani, B.2    Guerri, L.3    Preziosi, L.4
  • 11
    • 0031259318 scopus 로고    scopus 로고
    • From the Boltzmann equation to generalized kinetic models in applied sciences
    • [BEd] Bellomo N. and Lo Schiavo M., From the Boltzmann equation to generalized kinetic models in applied sciences, Math. Comp. Modelling, 26, 43-76, (1997).
    • (1997) Math. Comp. Modelling , vol.26 , pp. 43-76
    • Bellomo, N.1    Lo Schiavo, M.2
  • 12
    • 0032285146 scopus 로고    scopus 로고
    • Strategies of applied mathematics towards an immuno mathematical theory on tumors and immune system interactions
    • [BEe] Bellomo N. and De Angelis E., Strategies of applied mathematics towards an immuno mathematical theory on tumors and immune system interactions, Math. Models Meth. Appl. Sci., 8, 1403-1429, (1998).
    • (1998) Math. Models Meth. Appl. Sci. , vol.8 , pp. 1403-1429
    • Bellomo, N.1    De Angelis, E.2
  • 13
    • 0020687450 scopus 로고
    • Parasites at the origin of life
    • [BRa] Bremermann H.J., Parasites at the origin of life, J. Math. Biol., 16, (1983), 165-180.
    • (1983) J. Math. Biol. , vol.16 , pp. 165-180
    • Bremermann, H.J.1
  • 15
    • 0000553997 scopus 로고
    • Interleukin mathematical model of an immune system
    • [FOa] Foryś U., Interleukin mathematical model of an immune system, J. biol. Systems, 3, 889-902, (1995).
    • (1995) J. Biol. Systems , vol.3 , pp. 889-902
    • Foryś, U.1
  • 17
    • 0033467177 scopus 로고    scopus 로고
    • Tumor/immune system competition with medically induced activation/disactivation
    • to appear
    • [FIa] Firmani B., Guerri L., and Preziosi L., Tumor/immune system competition with medically induced activation/disactivation, Math. Models Meth. Appl. Sci., 9, (1999), to appear.
    • (1999) Math. Models Meth. Appl. Sci. , vol.9
    • Firmani, B.1    Guerri, L.2    Preziosi, L.3
  • 19
    • 0012189671 scopus 로고    scopus 로고
    • A predator-prey reaction diffusion system with nonlocal effects
    • [GUa] Gourley S.A. and Britton N.F., A predator-prey reaction diffusion system with nonlocal effects, J. Math. biol., 34, 927-333, (1996).
    • (1996) J. Math. Biol. , vol.34 , pp. 927-1333
    • Gourley, S.A.1    Britton, N.F.2
  • 20
    • 0016507041 scopus 로고
    • The existence of oscillatory solutions in the Feld-Noyes model for the Belousov-Zhabotinskii reaction
    • [HAa] Hastings S. and Murray J., The existence of oscillatory solutions in the Feld-Noyes model for the Belousov-Zhabotinskii reaction, SIAM J. Appl. Math. 28, 678-688, (1975).
    • (1975) SIAM J. Appl. Math. , vol.28 , pp. 678-688
    • Hastings, S.1    Murray, J.2
  • 21
    • 0002458189 scopus 로고    scopus 로고
    • A turing model with correlated random walk
    • [HIa] Hillen T., A turing model with correlated random walk, J. Math. Biol. 35, 49-72, (1996).
    • (1996) J. Math. Biol. , vol.35 , pp. 49-72
    • Hillen, T.1
  • 22
    • 0026932946 scopus 로고
    • On the distribution of dominance in a population of interacting anonymous organisms
    • [JAa] Jager E. and Segel L., On the distribution of dominance in a population of interacting anonymous organisms, SIAM J. Appl. Math., 52, 1442-1468, (1992).
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1442-1468
    • Jager, E.1    Segel, L.2
  • 23
    • 0002976258 scopus 로고
    • Asymptotic theory of the nonlinear kinetic equations: The hydrodynamic limit
    • World Sci., London, Singapore
    • [LAa] Lachowicz M., Asymptotic theory of the nonlinear kinetic equations: The hydrodynamic limit, Lecture Notes on the Mathematical Theory of the Boltzmann Equation, World Sci., London, Singapore, 65-148, (1995).
    • (1995) Lecture Notes on the Mathematical Theory of the Boltzmann Equation , pp. 65-148
    • Lachowicz, M.1
  • 24
    • 0002753279 scopus 로고
    • Random walk models of mouvement and their applications
    • Mathematical Ecology. An Introduction, Hallman T. and Levin S. eds.
    • [LEa] Levin S., Random walk models of mouvement and their applications, in Mathematical Ecology. An Introduction, Hallman T. and Levin S. eds., Springer Lecture Notes in Biomath. n. 17, 149-155, (1986).
    • (1986) Springer Lecture Notes in Biomath. N. , vol.17 , pp. 149-155
    • Levin, S.1
  • 25
    • 3242872325 scopus 로고    scopus 로고
    • Discrete kinetic cellular models of tumor immune system interactions
    • [LOa] Lo Schiavo M., Discrete kinetic cellular models of tumor immune system interactions, Math. Models Meth. Appl. Sci., 6, 1187-1210, (1996).
    • (1996) Math. Models Meth. Appl. Sci. , vol.6 , pp. 1187-1210
    • Lo Schiavo, M.1
  • 28
    • 0031489813 scopus 로고    scopus 로고
    • Blowup in reaction-diffusion system with dissipation of mass
    • [PIa] Pierre M., Schmitt D., Blowup in reaction-diffusion system with dissipation of mass, SIAM J. Math. Anal., 28, 259-269, (1997).
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 259-269
    • Pierre, M.1    Schmitt, D.2
  • 31
    • 0002014894 scopus 로고
    • Estimates of the green function of second order partial differential equations of parabolic type
    • English translation in Soviet Mathematics, 2., 617-619, (1962)
    • [SOa] Sobolevskii P.E., Estimates of the Green function of second order partial differential equations of parabolic type, Dokl. Akad. Nauk SSSR, 138, 313-316, (1961), English translation in Soviet Mathematics, 2., 617-619, (1962).
    • (1961) Dokl. Akad. Nauk SSSR , vol.138 , pp. 313-316
    • Sobolevskii, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.