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Volumn 9, Issue 5, 2008, Pages 1866-1881

Families of traveling impulses and fronts in some models with cross-diffusion

Author keywords

Cross diffusion; Keller Segel model; Traveling wave solutions

Indexed keywords

AIRCRAFT ENGINES; BIOCHEMISTRY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); FUNCTIONS; MATHEMATICAL TECHNIQUES; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SEMICONDUCTOR DOPING; SOLUTIONS;

EID: 48249118247     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2007.06.001     Document Type: Article
Times cited : (15)

References (26)
  • 2
    • 0034147307 scopus 로고    scopus 로고
    • Parametric portraits of travelling waves of population models with polynomial growth and auto-taxis rates
    • Berezovskaya F., and Karev G. Parametric portraits of travelling waves of population models with polynomial growth and auto-taxis rates. Nonlinear Anal. Real World Appl. 1 1 (2000) 123-136
    • (2000) Nonlinear Anal. Real World Appl. , vol.1 , Issue.1 , pp. 123-136
    • Berezovskaya, F.1    Karev, G.2
  • 3
    • 0042635415 scopus 로고    scopus 로고
    • Bifurcations of travelling waves in population taxis models
    • Berezovskaya F.S., and Karev G.P. Bifurcations of travelling waves in population taxis models. Usp. Fiz. Nauk 169 9 (1999) 1011-1024
    • (1999) Usp. Fiz. Nauk , vol.169 , Issue.9 , pp. 1011-1024
    • Berezovskaya, F.S.1    Karev, G.P.2
  • 4
    • 0039339350 scopus 로고    scopus 로고
    • Traveling waves in cross-diffusion models of the dynamics of populations
    • Berezovskaya F.S., and Karev G.P. Traveling waves in cross-diffusion models of the dynamics of populations. Biofizika 45 4 (2000) 751-756
    • (2000) Biofizika , vol.45 , Issue.4 , pp. 751-756
    • Berezovskaya, F.S.1    Karev, G.P.2
  • 6
    • 0026023209 scopus 로고
    • Complex patterns formed by motile cells of Escherichia coli
    • Budrene E.O., and Berg H.C. Complex patterns formed by motile cells of Escherichia coli. Nature 349 6310 (1991) 630-633
    • (1991) Nature , vol.349 , Issue.6310 , pp. 630-633
    • Budrene, E.O.1    Berg, H.C.2
  • 7
    • 34249732168 scopus 로고    scopus 로고
    • Taxis equations for amoeboid cells
    • Erban R., and Othmer H.G. Taxis equations for amoeboid cells. J. Math. Biol. 54 6 (2007) 847-885
    • (2007) J. Math. Biol. , vol.54 , Issue.6 , pp. 847-885
    • Erban, R.1    Othmer, H.G.2
  • 8
    • 0039840007 scopus 로고    scopus 로고
    • Travelling waves in a model of species migration
    • Feltham D.L., and Chaplain M.A.J. Travelling waves in a model of species migration. Appl. Math. Lett. 13 7 (2000) 67-73
    • (2000) Appl. Math. Lett. , vol.13 , Issue.7 , pp. 67-73
    • Feltham, D.L.1    Chaplain, M.A.J.2
  • 9
    • 0024355866 scopus 로고
    • A model of herd grazing as a traveling wave, chemotaxis and stability
    • Gueron S., and Liron N. A model of herd grazing as a traveling wave, chemotaxis and stability. J. Math. Biol. 27 5 (1989) 595-608
    • (1989) J. Math. Biol. , vol.27 , Issue.5 , pp. 595-608
    • Gueron, S.1    Liron, N.2
  • 10
    • 0141681060 scopus 로고    scopus 로고
    • Complex dynamics of tumors: modeling an emerging brain tumor system with coupled reaction-diffusion equations
    • Habib S., Molina-Paris C., and Deisboeck T.S. Complex dynamics of tumors: modeling an emerging brain tumor system with coupled reaction-diffusion equations. Phys. A Stat. Mech. Appl. 327 3-4 (2003) 501-524
    • (2003) Phys. A Stat. Mech. Appl. , vol.327 , Issue.3-4 , pp. 501-524
    • Habib, S.1    Molina-Paris, C.2    Deisboeck, T.S.3
  • 11
    • 84867943821 scopus 로고    scopus 로고
    • A constructive approach to traveling waves in chemotaxis
    • Horstmann D., and Stevens A. A constructive approach to traveling waves in chemotaxis. J. Nonlinear Sci. 14 1 (2004) 1-25
    • (2004) J. Nonlinear Sci. , vol.14 , Issue.1 , pp. 1-25
    • Horstmann, D.1    Stevens, A.2
  • 12
    • 0015011285 scopus 로고
    • Model for chemotaxis
    • Keller E.F., and Segel L.A. Model for chemotaxis. J. Theor. Biol. 30 2 (1971) 225-234
    • (1971) J. Theor. Biol. , vol.30 , Issue.2 , pp. 225-234
    • Keller, E.F.1    Segel, L.A.2
  • 13
    • 0015010990 scopus 로고
    • Traveling bands of chemotactic bacteria-theoretical analysis
    • Keller E.F., and Segel L.A. Traveling bands of chemotactic bacteria-theoretical analysis. J. Theor. Biol. 30 2 (1971) 235-248
    • (1971) J. Theor. Biol. , vol.30 , Issue.2 , pp. 235-248
    • Keller, E.F.1    Segel, L.A.2
  • 15
    • 0031162898 scopus 로고    scopus 로고
    • A system of reaction diffusion equations arising in the theory of reinforced random walks
    • Levine H.A., and Sleeman B.D. A system of reaction diffusion equations arising in the theory of reinforced random walks. Siam J. Appl. Math. 57 3 (1997) 683-730
    • (1997) Siam J. Appl. Math. , vol.57 , Issue.3 , pp. 683-730
    • Levine, H.A.1    Sleeman, B.D.2
  • 18
    • 0026305804 scopus 로고
    • Traveling waves in a chemotactic model
    • Nagai T., and Ikeda T. Traveling waves in a chemotactic model. J. Math. Biol. 30 2 (1991) 169-184
    • (1991) J. Math. Biol. , vol.30 , Issue.2 , pp. 169-184
    • Nagai, T.1    Ikeda, T.2
  • 19
    • 0003002827 scopus 로고    scopus 로고
    • Diffusion, cross-diffusion and their spike-layer steady states
    • Ni W.-M. Diffusion, cross-diffusion and their spike-layer steady states. Not. Am. Math. Soc. 45 1 (1998) 9-18
    • (1998) Not. Am. Math. Soc. , vol.45 , Issue.1 , pp. 9-18
    • Ni, W.-M.1
  • 20
    • 0031207030 scopus 로고    scopus 로고
    • Aggregation, blowup, and collapse: the ABC's of taxis in reinforced random walks
    • Othmer H.G., and Stevens A. Aggregation, blowup, and collapse: the ABC's of taxis in reinforced random walks. Siam J. Appl. Math. 57 4 (1997) 1044-1081
    • (1997) Siam J. Appl. Math. , vol.57 , Issue.4 , pp. 1044-1081
    • Othmer, H.G.1    Stevens, A.2
  • 22
    • 0034564461 scopus 로고    scopus 로고
    • Traveling wave solutions of a mathematical model for tumor encapsulation
    • Sherratt J.A. Traveling wave solutions of a mathematical model for tumor encapsulation. Siam J. Appl. Math. 60 2 (1999) 392-407
    • (1999) Siam J. Appl. Math. , vol.60 , Issue.2 , pp. 392-407
    • Sherratt, J.A.1
  • 23
    • 0001408135 scopus 로고
    • Trail following and aggregation of myxobacteria
    • Stevens A. Trail following and aggregation of myxobacteria. J. Biol. Syst. 3 4 (1995) 1059-1068
    • (1995) J. Biol. Syst. , vol.3 , Issue.4 , pp. 1059-1068
    • Stevens, A.1
  • 25
    • 4544260013 scopus 로고    scopus 로고
    • Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator-prey pursuit and evasion example
    • Tsyganov M.A., Brindley J., Holden A.V., and Biktashev V.N. Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator-prey pursuit and evasion example. Phys. D Nonlinear Phenom. 197 1-2 (2004) 18-33
    • (2004) Phys. D Nonlinear Phenom. , vol.197 , Issue.1-2 , pp. 18-33
    • Tsyganov, M.A.1    Brindley, J.2    Holden, A.V.3    Biktashev, V.N.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.