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Volumn 44, Issue 3, 2012, Pages 1340-1358

Global bifurcation of solutions for crime modeling equations

Author keywords

Burglary model; Global bifurcation; Pattern formation; Quasi linear elliptic system

Indexed keywords

AVERAGE RATE; BIFURCATION POINTS; ELLIPTIC EQUATIONS; ELLIPTIC SYSTEM; GLOBAL BIFURCATIONS; HOTSPOTS; MODELING EQUATIONS; PATTERN FORMATION; QUASI-LINEAR; QUASILINEAR SYSTEM; SPATIAL PATTERNS; SYSTEM SUPPORTS;

EID: 84861396959     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/110843356     Document Type: Article
Times cited : (50)

References (13)
  • 1
    • 77955848773 scopus 로고    scopus 로고
    • Self-organised critical hotspots of criminal activity
    • H. Berestycki and J.-P. Nadal, Self-organised critical hotspots of criminal activity, European J. Appl. Math., 21 (2010), pp. 371-399.
    • (2010) European J. Appl. Math. , vol.21 , pp. 371-399
    • Berestycki, H.1    Nadal, J.-P.2
  • 2
    • 0001056317 scopus 로고
    • Rabinowitz, Bifurcation from simple eigenvalues
    • M. G. Crandall and P. H. Rabinowitz, Bifurcation from simple eigenvalues, J. Funct. Anal., 8 (1971), pp. 321-340.
    • (1971) J. Funct. Anal. , vol.8 , pp. 321-340
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 3
    • 0015746829 scopus 로고
    • Bifurcation, perturbation of simple eigenvalues and linearized stability
    • M. G. Crandall and P. H. Rabinowitz, Bifurcation, perturbation of simple eigenvalues and linearized stability, Arch. Ration. Mech. Anal., 52 (1973), pp. 161-180.
    • (1973) Arch. Ration. Mech. Anal. , vol.52 , pp. 161-180
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 4
    • 63049107118 scopus 로고    scopus 로고
    • A user's guide to PDE models for Chemotaxis
    • T. Hillen and K. J. Painter, A user's guide to PDE models for Chemotaxis, J. Math. Biol., 58 (2009), pp. 183-217.
    • (2009) J. Math. Biol. , vol.58 , pp. 183-217
    • Hillen, T.1    Painter, K.J.2
  • 5
    • 4744373150 scopus 로고    scopus 로고
    • From 1970 until present: The Keller-Segel model in chemotaxis and its consequences
    • D. Horstmann, From 1970 until present: The Keller-Segel model in chemotaxis and its consequences, I, Jahresber. Deutsch. Math.-Verein., 105 (2003), pp. 103-165.
    • (2003) Jahresber. Deutsch. Math.-Verein. , vol.1 , Issue.105 , pp. 103-165
    • Horstmann, D.1
  • 7
    • 77955853982 scopus 로고    scopus 로고
    • Adding police to a mathematical model of burglary
    • A. B. Pitcher, Adding police to a mathematical model of burglary, European J. Appl. Math., 21 (2010), pp. 401-419.
    • (2010) European J. Appl. Math. , vol.21 , pp. 401-419
    • Pitcher, A.B.1
  • 8
    • 36448974335 scopus 로고
    • Some global results for nonlinear eigenvalue problems
    • P. H. Rabinowitz, Some global results for nonlinear eigenvalue problems, J. Funct. Anal., 7 (1971), pp. 487-513.
    • (1971) J. Funct. Anal. , vol.7 , pp. 487-513
    • Rabinowitz, P.H.1
  • 9
    • 77955924345 scopus 로고    scopus 로고
    • Bertozzi, Local existence and uniqueness of solutions to a PDE model for criminal behavior
    • N. Rodriguez and A. L. Bertozzi, Local existence and uniqueness of solutions to a PDE model for criminal behavior, Math. Models Methods Appl. Sci., 20 (2010), pp. 1425-1457.
    • (2010) Math. Models Methods Appl. Sci. , vol.20 , pp. 1425-1457
    • Rodriguez, N.1    Bertozzi, A.L.2
  • 10
    • 60349102594 scopus 로고    scopus 로고
    • On global bifurcation for quasilinear elliptic systems on bounded domains
    • J. Shi and X. Wang, On global bifurcation for quasilinear elliptic systems on bounded domains, J. Differential Equations, 7 (2009), pp. 2788-2812.
    • (2009) J. Differential Equations , vol.7 , pp. 2788-2812
    • Shi, J.1    Wang, X.2
  • 11
    • 77953272280 scopus 로고    scopus 로고
    • Nonlinear patterns in urban crime: Hotspots, bifurcations, and suppression
    • M. B. Short, A. L. Bertozzi, and P. J. Brantingham, Nonlinear patterns in urban crime: Hotspots, bifurcations, and suppression, SIAM J. Appl. Dyn. Syst., 9 (2010), pp. 462-483.
    • (2010) SIAM J. Appl. Dyn. Syst. , vol.9 , pp. 462-483
    • Short, M.B.1    Bertozzi, A.L.2    Brantingham, P.J.3
  • 13
    • 0034376967 scopus 로고    scopus 로고
    • Qualitative behavior of solutions of chemotactic diffusion systems: Effects of motility and chemotaxis and dynamics
    • X.Wang, Qualitative behavior of solutions of chemotactic diffusion systems: Effects of motility and chemotaxis and dynamics, SIAM J. Math. Anal., 31 (2000), pp. 535-560.
    • (2000) SIAM J. Math. Anal. , vol.31 , pp. 535-560
    • Wang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.