Research‎ > ‎

Publications:

  1. "Stability analysis of a modified Leslie-Gower predation model with weak Allee effect in the prey." Claudio Arancibia-Ibarra,  José D. Flores & Peter van Heijster.   Frontiers in Applied Mathematics and Statistics: Dynamical Systems. January 2022.
  2. "Dynamics of a  Leslie-Gower predator-prey model with Holling type II functional response, Allee effect and a generalist predator", Claudio Arancibia-Ibarra & José D. Flores.  Mathematics and Computers in Simulation (MATCOM). Volume 188, pp 1-22. October 2021.
  3. "Turing patterns in a diffusive Holling-Tanner predator-prey model with an alternative food source for the predator" Claudio Arancibia-Ibarra1,2, Michael Bode1, José Flores3 & Peter van Heijster1 . 1School of Mathematical Sciences, Queensland University of Technology, Brisbane, Australia 2Facultad de Educacion, Universidad de Las Americas, Santiago, Chile  3Department of Computer Science, The University of South Dakota, Vermillion, South Dakota, USA. Communications in Nonlinear Science and Numerical Simulations. Volume 99, August 2021. 
  4. "Bifurcation Analysis of a predator-prey model with intra-specific interactions and  ratio-dependent functional response." Claudio Arancibia-Ibarra, Pablo Aguirre, José Flores & Peter van Heijster. Applied Mathematics and  Computation. Vol. 402. March 2021.
  5. "Forecasting hospitalizations due COVID-19 in South Dakota, US."  Jeff Wesner, Daniel Van Peursem, José Flores, Yuhlong Lio, and Chelsea Wesner. Journal of Healthcare Informatics Research. May 2021. 
  6. "Modelling and analysis of a  modified May-Holling-Tanner predator-prey model with Allee effect on the prey and an alternative food source for the predator", Claudio Arancibia-Ibarra & Jose D. Flores. Mathematical and Biosciences and Engineering (MBE). October 2020. 
  7. "A Modified May-Holling-Tanner predator-prey model with multiple Allee effects on the prey and alternative food source for the predator" Claudio Arancibia-Ibarraa,b, José Floresc , Michael Bodea, Graeme Petteta  & Peter van Heijstera . aSchool of Mathematical Sciences, Queensland University of Technology, Brisbane, Australia bFacultad de Educacion, Universidad de Las Americas, Santiago, Chile,  cDepartment of Computer Science, The University of South Dakota, Vermillion, South Dakota, USA. Discrete and Continuous Dynamical Systems Series B, February 2020. 
  8. "A Holling-Tanner predator-prey model with strong Allee effect." 
     Claudio Arancibia-Ibarra 1 , José D. Flores 2 ,   Graeme Pettet 1  and  Peter van Heijster 1 .  1 School of Mathematical Sciences, Queensland University of Technology, Brisbane, Australia.  2     Department of Mathematical Sciences/Department of Computer Science,  University of South Dakota, Vermillion, South Dakota, USA. I    nternational Journal of Bifurcation and Chaos. Vol.29, No 11 (2019).  Best Paper 2019 IJBC.
  9. "A modified Leslie-Gower  predator-prey model with ratio-dependent functional response and alternative food for the predator." José D. Flores and Eduardo González-Olivares. Mathematical Methods in the Applied Sciences. Mathematical Methods in the Applied Sciences.  40 2313-2328. 2017.
  10. "Severe mortality impact of the 1957 influenza pandemic in Chile. " Gerardo Chowell1,2, Lone Simonsen2,3,4, Rodrigo Fuentes5, Jose Flores6,7, Mark A. Miller2, Cécile Viboud2.  1School of Public Health, Georgia State University, Atlanta, GA, USA.  2Fogarty International Center, National Institutes of Health, Bethesda, MD, USA.  3 Department of Global Health, George Washington University, Washington DC, USA. 4Department of Public Health, University of Copenhagen, Denmark. 5Department of Epidemiology, Ministerio de Salud, Santiago, Chile.  6Department of Mathematical Sciences, The University of South Dakota, Vermillion, SD, USA. 7 Biodiversity Laboratories of the National Center for the Environment (CENMA), Universidad de Chile, Santiago, Chile. Journal of Influenza and Other Respiratory Viruses. November 2016.
  11. "Global Mortality Impact of the 1957-1959 Influenza Pandemic."  Cécile Viboud,1 Lone Simonsen,1,2,5 Rodrigo Fuentes6, Jose Flores,3,7 Mark A. Miller,1  and Gerardo Chowell.1,4    1 Division of International Epidemiology and Population Studies, Fogarty International Center, National Institutes of Health, Bethesda, MD, USA;  2 Department of Global Health, George Washington University, Washington DC, USA;  3 Department of Mathematical Sciences, The University of South Dakota, Vermillion, SD, USA; 4School of Public Health, Georgia State University, Atlanta, GA, USA.5 Department of Public Health, University of Copenhagen, Denmark; 6Department of Epidemiology, Ministerio de Salud, Santiago, Chile;  7 Biodiversity Laboratories of the National Center for the Environment (CENMA), Universidad de Chile, Santiago, Chile.  The Journal Infectious Diseases. March 2016.
  12. "Consequences of multiple Allee effect in an open access fishery model". Eduardo González-Olivares and José D. Flores.  Journal of Biological Systems. DOI: 10.1142/S0218339015400094. Vol. 23, No. supp01, pp. S101-S121 (2015).
  13. "Spatial-temporal mortality patterns of the 1918 influenza pandemic in Chile: delayed impact to the second year of circulation and latitudinal variation in disease burden." G. Chowell1,2, L. Simonsen3, J. Flores4, 5, M.A. Miller2, C. Viboud2 . 1 Mathematical, Computational & Modeling Sciences Center, School of Human Evolution and Social Change, Arizona State University, Tempe, AZ, USA. 2. Division of International Epidemiology and Population Studies, Fogarty International Center, National Institutes of Health, Bethesda, MD, USA.  3 Department of Global Health, School of Public Health and Health Services, George Washington University, Washington DC, USA. 4 Department of Mathematical Sciences, The University of South Dakota, Vermillion, SD, USA. 5 Biodiversity Laboratories of the National Center for the Environment (CENMA), Universidad de Chile, Santiago, Chile. Emerging Infectious Diseases. November 2014.
  14. "Dynamics of a predator-prey model with Allee effect on prey and ratio-dependent functional response."  José D. Flores and Eduardo González-Olivares. Ecological Complexity (April 2014). doi: 10.1016/j.ecocom.2014.02.005.
  15. "Food web modularity and biodiversity promote species persistence in polluted environments," Leslie Garay-Narváez (Centro Nacional del Medio Ambiente. Fundación de la Universidad de Chile), José Flores (The University of South Dakota.)  Matias Arim (Universidad de la República Uruguay), Rodrigo Ramos-Jiliberto (Centro Nacional del Medio Ambiente. Fundación de la Universidad de Chile).  OIKOS. doi: 10.1111/j.1600-0706.2013.00764.x.
  16.  "Bifurcations and global dynamics in a predator-prey model with strong Allee effect on prey and ratio-dependent functional response", Pablo Aguirre (Departamento de Matemáticas,Universidad Técnica Federico Santa María,Valparaíso Chile),  José Flores (Department of Mathematical Sciences, The University of South Dakota, South Dakota USA) and Eduardo González-Olivares (Instituto de Matematicas, Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile).  Journal of Nonlinear Analysis Series B: Real World Applications.  October 2013.
  17. “A predator-prey model with weak Allee effect on prey and ratio-dependent functional response”, Eduardo González-Olivares and José D. Flores. Proceedings of the 2013: 13th International Conference on Computational and Mathematical Methods in Science and Engineering CMMSE 2013. I. Hamilton & J. Vigo-Aguiar eds., Volume 2, 757-768. Almería-Spain. June 2013. 
  18. "The more polluted the environment, the more important biodiversity is for food web stability" by Garay-Narváez, Leslie; Arim, Matias; Flores, José; Ramos-Jiliberto, Rodrigo. OIKOS.  doi: 10.1111/j.1600-0706.2012.00218.x 2013.    
  19. "Uniqueness of limit cycles and multiple attractors  in a Gause-type predator-prey model with nonmonotonic functional response and Allee effect on prey"  Eduardo González-Olivares, Betsabé  González-Yañez, Jaime Mena-Lorca, and José D. Flores.  Mathematical Biosciences and Engineering (MBE) a Journal of the American Institute of Mathematical Sciences.  Vol. 10, No. 2 April 2013.
  20. "Adaptive prey responses promote biodiversity in polluted environments" Leslie Garay-Narváez, Pasquinell Urbani, José Flores, Matías Arim, and Rodrigo Ramos-Jiliberto. OIKOS. In review.
  21. "The Effect of Localized Oil Spills on the Atlantic Loggerhead Turtle Population Dynamics."   M-R. Leung, M. Marchand, S. Stykel, M. Huynh & J. Flores. Open Journal of Ecology, Vol. 2, No. 3 (2012) DOI: 10.4236/oje.2012.23013. http://www.scirp.org/journal/oje/
  22. "Adaptive foraging allows the maintenance of biodiversity of pollination networks in spite of nestedness"   Fernanda S. Valdovinos, Pablo Moisset de Espanés, José D. Flores and Rodrigo Ramos-Jiliberto.  OIKOS. July 2012. doi:10.1111/j.1600-0706.2012.10830.x
  23. "Topological plasticity increases robustness of mutualistic networks. "  Rodrigo Ramos-Jiliberto, Fernanda S. Valdovinos, Pablo Moisset de Espanés and José D. Flores.  Journal of Animal Ecology 2012, 81,896-904.
  24. "A predator-prey model with ratio-dependent functional response and strong Allee effect on prey."   Proceeding of the 9th WSEAS International conference on Mathematical Biology and Ecology (MABE'12). José D. Flores and Eduardo González-Olivares.  Harvard, Cambridge, MA. USA, January 25-27, 2012. Recent Advances in Fluid Mechanics, Heat & Mass Transfer and Biology ISBN: 978-1-61804-065-7.  Best paper MABE'12.
  25. "Consequences of double Allee effect on the number of limit cycles in a predator-prey model."   Eduardo González-Olivares, Betsabé  González-Yañez,  Alejandro Rojas-Palma, Jaime Mena-Lorca and José D Flores.  Computer and Mathematics with Applications. 2011.
  26. Erratum to "Dynamical complexities in the Leslie–Gower predator–prey model as consequences of the Allee effect on prey" [Appl. Math. Modell. (2011) 366–381]. Eduardo Gonzalez-Olivares, Jaime Mena-Lorca, Alejandro Rojas-Palma and José D. Flores.
  27. " Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey."    Eduardo González-Olivares, Alejandro Rojas-Palma, Jaime Mena-Lorca and José D Flores.  Applied mathematical Modelling Vol. 35 (1)  336-381.  2011.
  28. "The Effect of Localized Oil Spills on the Atlantic Loggerhead Turtle Population Dynamics."  M. Huynh, M-R. Leung, M. Marchand, S. Stykel, L. Arriola & J. Flores. MTBI summer 2010 technical report. August 2, 2010.
  29. "Structure and Dynamics of Pollination Networks: The Role of Alien Plants." Fernanda S. Valdovinos, Rodrigo Ramos-Jiliberto, José D. Flores, Claudia Espinoza, and Gioconda López. OIKOS: Synthesising Ecology, Volume 118, Issue 8, pp 1190-1200, August 2009. First Published online April 2009. 
  30. “Role of Inducible Defenses in the Stability of a Tritrophic System.” Rodrigo Ramos-Jiliberto, Jaime Mena-Lorca, José D. Flores and Waldo Morales. In the international journal on Biocomplexity in the Environment and Theoretical Ecology "Journal of Ecological Complexity". Vol 5. 183-192.  2008.
  31.  “Modeling the management of fragmented forests. Is it possible to recover the original tree composition? The case of the Maulino forest in Central Chile.” Ramos, C., J. A. Simonetti, J. D. Flores & R. Ramos-Jiliberto.  In the international journal “Journal of Forest Ecology and management”, 255 (7): 2236-2243, 2008.
  32. “Allee effect, emigration and immigration in a class of predator-prey models". Eduardo González-Olivares, Hector Meneses-Alcay, Jaime Mena-Lorca, Betsabé González-Yañez and José D. Flores.   Biophysical Reviews and Letters (BRL) 3 (1/2) (April 2008), 195 – 215. Special Issue: International Symposium on Mathematical and Computational Biology (BIOMAT 2007.)  Amarção do Búzios, Rio de Janeiro, Brazil, 24-29 November 2007. Editors: R. Mondaini and R. Dilão. World Scientific Co. Pte. Ltd., Singapore .
  33. “Multiple Allee Effect in a Bioeconomic Model”. Jaime Mena-Lorca, Eduardo González-Olivares, Betsabé González-Yañez and José D. Flores.  This paper was presented at BIOMAT 2007, International Symposium on Mathematical and Computational Biology held at Amaraçäo dos Búzios, Rio de Janeiro, Brazil, from 24th to 29th November 2007. 
  34. "Consequences of Depensation in a Bio-Economic Model for Open-Access Fishery",   José D. Flores, Eduardo González-Olivares, Betsabé González-Yañez and Jaime Mena-Lorca. BIOMAT 2006 Proceedings. Presented at BIOMAT 2006, International Symposium on Mathematical and Computational Biology held at the Federal University of Amazonas-UFAM, Manaus, AM, Brazil. November 25-30, 2006.
  35.  "Numerical Solution of a First Kind Integral Equation of Potential Theory.'' José D. Flores. In "Inverse Problems in Engineering'' Vol. 9, No. 5, 2002.
  36. "Numerical Solution of Laplace's Equation on Non-Simply Connected Regions   in R2"  Jorge Saavedra & José D. Flores. International Journal of Computer Mathematics, Vol. 78, No. 2. 2001.       
  37. "Iterative Methods for the Numerical Solution of Laplace's Equation on a Non-Multiply Connected Domain in R2 ". José D. Flores & Jorge Saavedra . Proceedings do XXIII CNMAC. Uma Publicacao da Sociedade Brasileira de Matematica Aplicada e Computacional. 2000.
  38. "The Conjugate Gradient method in the presence of clustered eigenvalues."  José D. Flores. ACM SIGSMALL/PC notes 19 (2) 25-29. 1993.
  39. "The Discrete Collocation method for nonlinear integral equations." Kendall E. Atkinson & José D. Flores. IMA Journal of Numerical Analysis 13 (2) 195-213.  1993.
  40. "The Conjugate Gradient method for solving Fredholm integral equations of second kind."  José D. Flores. International Journal of Computer Mathematics 48(1-2), 77-94, 1992. 
  41. "Iteration Methods for Solving Integral Equations of Second Kind."  Ph.D. thesis. José D. Flores 1990.