All Stories

  1. Competition among Predators and Allee Effect on Prey, Their Influence on a Gause-Type Predation Model

    Article • Mathematical Problems in Engineering, March 2019, Hindawi Publishing Corporation

    Mr Eduardo Gonzalez-Olivares

  2. Prey herd behavior modeled by a generic non-differentiable functional response

    Article • Mathematical Modelling of Natural Phenomena, January 2018, EDP Sciences

    Mr Eduardo Gonzalez-Olivares

  3. Consequences of weak Allee effect on prey in the May-Holling-Tanner predator-prey model

    Article • Mathematical Methods in the Applied Sciences, March 2015, Wiley

    Mr Eduardo Gonzalez-Olivares

  4. Consequences of weak Allee effect on prey in the May-Holling-Tanner predator-prey model

    Article • Mathematical Methods in the Applied Sciences, January 2015, Wiley

    Mr Eduardo Gonzalez-Olivares

  5. Dynamics of a predator–prey model with Allee effect on prey and ratio-dependent functional response

    Article • Ecological Complexity, June 2014, Elsevier

    Mr Eduardo Gonzalez-Olivares

  6. A Leslie–Gower-type predator–prey model with sigmoid functional response

    Article • International Journal of Computer Mathematics, April 2014, Taylor & Francis

    Mr Eduardo Gonzalez-Olivares

  7. Bifurcations and global dynamics in a predator–prey model with a strong Allee effect on the prey, and a ratio-dependent functional response

    Article • Nonlinear Analysis Real World Applications, April 2014, Elsevier

    Mr Eduardo Gonzalez-Olivares

  8. Double Allee Effects on Prey in a Modified Rosenzweig-MacArthur Predator-Prey Model

    Article • January 2014, Springer Science + Business Media

    Mr Eduardo Gonzalez-Olivares

  9. Stochastic predator–prey model with Allee effect on prey

    Article • Nonlinear Analysis Real World Applications, February 2013, Elsevier

    Mr Eduardo Gonzalez-Olivares

  10. Corrigendum to “Multiple stability and uniqueness of the limit cycle in a Gause-type predator–prey model considering the Allee effect on prey” [Nonlinear Anal. RWA 12 (2011) 2931–2942]

    Article • Nonlinear Analysis Real World Applications, February 2013, Elsevier

    Mr Eduardo Gonzalez-Olivares

  11. Allee Effect in Gause Type Predator-Prey Models: Existence of Multiple Attractors, Limit cycles and Separatrix Curves. A Brief Review

    Article • Mathematical Modelling of Natural Phenomena, January 2013, EDP Sciences

    Mr Eduardo Gonzalez-Olivares

  12. Uniqueness of limit cycles and multiple attractors in a Gause-type predator-prey model with nonmonotonic functional response and Allee effect on prey

    Article • Mathematical Biosciences and Engineering, January 2013, American Institute of Mathematical Sciences (AIMS)

    Mr Eduardo Gonzalez-Olivares

  13. A new class of differential equations with impulses at instants dependent on preceding pulses. Applications to management of renewable resources

    Article • Nonlinear Analysis Real World Applications, October 2012, Elsevier

    Mr Eduardo Gonzalez-Olivares

  14. Optimal harvesting in a predator–prey model with Allee effect and sigmoid functional response

    Article • Applied Mathematical Modelling, May 2012, Elsevier

    Mr Eduardo Gonzalez-Olivares

  15. Comments to “The effect of prey refuge in a simple predator–prey model” [Ecol. Model. 222 (September(18)) (2011) 3453–3454]

    Article • Ecological Modelling, May 2012, Elsevier

    Mr Eduardo Gonzalez-Olivares

  16. Limit cycles in a Gause‐type predator–prey model with sigmoid functional response and weak Allee effect on prey

    Article • Mathematical Methods in the Applied Sciences, April 2012, Wiley

    Mr Eduardo Gonzalez-Olivares

  17. Modeling pulse infectious events irrupting into a controlled context: A SIS disease with almost periodic parameters

    Article • Applied Mathematical Modelling, March 2012, Elsevier

    Mr Eduardo Gonzalez-Olivares

  18. DYNAMICS OF LOTKA-VOLTERRA PREDATOR-PREY MODEL CONSIDERING SATURATED REFUGE FOR PREY

    Article • March 2012, World Scientific Pub Co Pte Lt

    Mr Eduardo Gonzalez-Olivares

  19. 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]

    Article • Applied Mathematical Modelling, February 2012, Elsevier

    Mr Eduardo Gonzalez-Olivares

  20. Multiple stability and uniqueness of the limit cycle in a Gause-type predator–prey model considering the Allee effect on prey

    Article • Nonlinear Analysis Real World Applications, December 2011, Elsevier

    Mr Eduardo Gonzalez-Olivares

  21. Consequences of double Allee effect on the number of limit cycles in a predator–prey model

    Article • Computers & Mathematics with Applications, November 2011, Elsevier

    Mr Eduardo Gonzalez-Olivares

  22. A two-patch model for the optimal management of a fishing resource considering a marine protected area

    Article • Nonlinear Analysis Real World Applications, October 2011, Elsevier

    Mr Eduardo Gonzalez-Olivares

  23. Source–sink impulsive bioeconomic models: Seasonal closures with fixed length

    Article • The Journal of Difference Equations and Applications, May 2011, Taylor & Francis

    Mr Eduardo Gonzalez-Olivares

  24. A MODIFIED LESLIE-GOWER PREDATOR-PREY MODEL WITH HYPERBOLIC FUNCTIONAL RESPONSE AND ALLEE EFFECT ON PREY

    Article • March 2011, World Scientific Pub Co Pte Lt

    Mr Eduardo Gonzalez-Olivares

  25. THE OPTIMAL THINNING STRATEGY FOR A FORESTRY MANAGEMENT PROBLEM

    Article • March 2011, World Scientific Pub Co Pte Lt

    Mr Eduardo Gonzalez-Olivares

  26. Dynamical complexities in the Leslie–Gower predator–prey model as consequences of the Allee effect on prey

    Article • Applied Mathematical Modelling, January 2011, Elsevier

    Mr Eduardo Gonzalez-Olivares

  27. Multiple Limit Cycles in a Gause Type Predator–Prey Model with Holling Type III Functional Response and Allee Effect on Prey

    Article • Bulletin of Mathematical Biology, September 2010, Springer Science + Business Media

    Mr Eduardo Gonzalez-Olivares

  28. PULSE INFECTION: CONTROL FIXING TIME BETWEEN INFECTION EVENTS

    Article • July 2009, World Scientific Pub Co Pte Lt

    Mr Eduardo Gonzalez-Olivares

  29. Two limit cycles in a Leslie–Gower predator–prey model with additive Allee effect

    Article • Nonlinear Analysis Real World Applications, June 2009, Elsevier

    Mr Eduardo Gonzalez-Olivares

  30. Demographical analysis of the pink ling Genypterus blacodes (Schneider 1801) in the austral demersal fishery: A matrix approach evaluating harvest and non-harvest states

    Article • Fisheries Research, March 2009, Elsevier

    Mr Eduardo Gonzalez-Olivares

  31. Three Limit Cycles in a Leslie–Gower Predator-Prey Model with Additive Allee Effect

    Article • SIAM Journal on Applied Mathematics, January 2009, Society for Industrial & Applied Mathematics (SIAM)

    Mr Eduardo Gonzalez-Olivares

  32. ALLEE EFFECT, EMIGRATION AND IMMIGRATION IN A CLASS OF PREDATOR-PREY MODELS

    Article • June 2008, World Scientific Pub Co Pte Lt

    Mr Eduardo Gonzalez-Olivares

  33. ALLEE EFFECT, EMIGRATION AND IMMIGRATION IN A CLASS OF PREDATOR-PREY MODELS

    Article • Biophysical Reviews and Letters, April 2008, World Scientific Pub Co Pte Lt

    Mr Eduardo Gonzalez-Olivares

  34. MULTISTABILITY ON A LESLIE-GOWER TYPE PREDATOR-PREY MODEL WITH NONMONOTONIC FUNCTIONAL RESPONSE

    Article • May 2007, World Scientific Pub Co Pte Lt

    Mr Eduardo Gonzalez-Olivares, Jaime Yanez

  35. On the number of limit cycles in a predator prey model with non-monotonic functional response

    Article • Discrete and Continuous Dynamical Systems - B, February 2006, American Institute of Mathematical Sciences (AIMS)

    Mr Eduardo Gonzalez-Olivares

  36. Topological Description of a Non-Differentiable Bioeconomics Model

    Article • Rocky Mountain Journal of Mathematics, August 2005, Rocky Mountain Mathematics Consortium

    Mr Eduardo Gonzalez-Olivares

  37. Dynamic consequences of prey refuges in a simple model system: more prey, fewer predators and enhanced stability

    Article • Ecological Modelling, August 2003, Elsevier

    Mr Eduardo Gonzalez-Olivares

  38. Population-Level Consequences of Antipredator Behavior: A Metaphysiological Model Based on the Functional Ecology of the Leaf-Eared Mouse

    Article • Theoretical Population Biology, August 2002, Elsevier

    Mr Eduardo Gonzalez-Olivares

  39. Cubic Kolmogorov system with invariant straight lines

    Article • Nonlinear Analysis, August 2001, Elsevier

    Mr Eduardo Gonzalez-Olivares

  40. Relating behavior to population dynamics: a predator–prey metaphysiological model emphasizing zooplankton diel vertical migration as an inducible response

    Article • Ecological Modelling, March 2000, Elsevier

    Mr Eduardo Gonzalez-Olivares

  41. Dynamics of a Predator-Prey Model

    Article • SIAM Journal on Applied Mathematics, January 1999, Society for Industrial & Applied Mathematics (SIAM)

    Mr Eduardo Gonzalez-Olivares

  42. Una clase de modelos bioeconómicos continuos

    Article • Investigaciones marinas, January 1998, SciELO Comision Nacional de Investigacion Cientifica Y Tecnologica (CONICYT)

    Mr Eduardo Gonzalez-Olivares