Dr. Gustavo Cruz Pacheco

Investigador Titular "A"
Departamento de Matemáticas y Mecánica
I.I.M.A.S., Universidad Nacional Autónoma de México

Mat. (UNAM, México),
M. en M.A., Ph.D. (University of Arizona, EUA).

56 22 35 66
cruz @ mym.iimas.unam.mx

PUBLICACIONES

• G Cruz-Pacheco, L Esteva, C Pio-Ferreira
  The role of sexual transmission on the Zika outbreak
  
• G Cruz-Pacheco, L Esteva, C Pio-Ferreira
  The spread of Zika as a vectorial and sexual transmitted disease: a mathematical model analysis
  
• J-G Caputo, G Cruz-Pacheco, P Panayotaros
  Bistable reaction-difusion on a network
  J. Phys. A: Math. Theor. 48 (2015) 075102 (27pp)
• G Cruz-Pacheco, L Esteva, C Vargas
  Vaccination strategies for SIR vector-transmited diseases
  Bull Math Biol (2014) 76:2073–2090
• G Cruz-Pacheco, L Esteva, C Vargas
  Control measures for Chagas disease
  Mathematical Biosciences 237 (2012) 49–60

• G Cruz-Pacheco, L Esteva, C Vargas
  Multi-species interactions in West Nile virus infection
  Journal of Biological Dynamics Vol. 6, No. 2, March 2012, 281–298

• Gustavo Cruz-Pacheco, Lourdes Esteva, Cristobal Vargas
  Seasonal Effects on West Nile Virus Infection
  Preprint.
• G. Cruz-Pacheco, L. Esteva, J.A. Montaño, C. Vargas
  A Mathematical Model for the Dynamics of West Nile Virus
  Proceedings of the 2nd IFAC Symposium on System, Structure
  and Control, Elsevier Science Ltd, Oxford, UK. pp 511-516, 2004.
• G. Cruz-Pacheco, L. Esteva, J.A. Montaño, C. Vargas
  Modelling the Dynamics of West Nile Virus
  Bulletin for Mathematical Biology 67, 2005, pp 1157-1172.
• M.C. Jorge, G. Cruz-Pacheco, Luis Mier y Teran Romero, N. F. Smyth
  Evolution of Two Dimensional Lump Nanosolitons for the
  Zakharov-Kuznetsov and Electromigration Equations
  Chaos: Interdisciplinary Journal of Nonlinear Science
  CHAOS 15, 2005, 037104 pp 1-13.
  Invited paper.
• G. Cruz-Pacheco, C.D. Levermore, Benjamin P. Luce
  Complex Ginzburg-Landau Equations as Perturbations of Nonlinear
  Schrödinger Equations: A Melnikov Approach
  Physica D Vol. 197/3-4, pp 269-285, 2004
• G. Cruz-Pacheco, A.A. Minzoni, P. Padilla, M. Rosenbaum, P. Ryan, N. F. Smyth, T. Vukasinac
  On the possibility of wormhole formation due to quantum effects in the gravitational collapse of a small dust shell
  Revista Mexicana de Física, Vol. 49, pp 122-124 2003
• Gustavo Cruz-Pacheco, C. David Levermore, Benjamin P. Luce
  Complex Ginzburg-Landau Equations as Perturbations of Nonlinear Schrödinger Equations: Quasi-periodic Solutions.
  Preprint. 2003.
• Gustavo Cruz-Pacheco, C. David Levermore, Benjamin P. Luce
  Complex Ginzburg-Landau Equations as Perturbations of Nonlinear Schrödinger Equations: Traveling Wave Persistence.
  2003.
• Gustavo Cruz-Pacheco, C. David Levermore, Benjamin P. Luce
  Complex Ginzburg-Landau Equations as Perturbations of Nonlinear Schrödinger Equations: A Case Study.
  2003.
• A. Corichi, G. Cruz-Pacheco, A.A. Minzoni, P. Padilla,
  M. Rosenbaum, P. Ryan, N. F. Smyth, T. Vukasinac
  Quantum Collapse of a Small Dust Shell
  Physics Review D, Vol. 65 2002, pp 1-13.
• G. Cruz-Pacheco, A. Minzoni, P. Padilla, A. Corichi, M. Rosenbaum, M. P. Ryan, N. F. Smyth
  Effect of Low Momentum Quantum Fluctuations on a Coherent Field Structure
  Physics Review D, Volume 61. 2000, pp1-10.
• Gustavo Cruz-Pacheco, G. Flores-Reyna, M.C. Jorge, A. Minzoni, N. F. Smyth
  Approximate Evolution of Lump Initial Conditions for the Benjamin-Ono Equation
  Wave Motion 28(3) 1998, pp195-202
• Alejandro B. Aceves, Gustavo Cruz-Pacheco.
  Fast Jitter Traveling Wave Solutions in a Soliton Communication Line System with Dispersion Management.
  Physics Letters A 233. 1997
• Gustavo Cruz-Pacheco, Benjamin P. Luce
  On the Relationship of Periodic Wavetrains and Solitary Waves of Complex Ginzburg-Landau Type Equations.
  Physics Letters A 236. 1997, pp 63-67.
• Gustavo Cruz-Pacheco, C. David Levermore, Benjamin P. Luce
  Melnikov Methods for PDEs: Applications to Perturbed Nonlinear Schrödinger Equations
  CNLS NEWSLETTER, No. 114, June 1995.