Pulsating fronts for nonlocal dispersion and KPP nonlinearity

Article Properties
  • Publication Date
    2013/04/01
  • Indian UGC (journal)
  • Refrences
    66
  • Citations
    86
  • Juan Dávila Departamento de Ingeniería Matemática and CMM, Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile
  • Salomé Martínez Departamento de Ingeniería Matemática and CMM, Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile
  • Jérôme Coville INRA, Equipe BIOSP, Centre de Recherche dʼAvignon, Domaine Saint Paul, Site Agroparc, 84914 Avignon cedex 9, France
Cite
Dávila, Juan, et al. “Pulsating Fronts for Nonlocal Dispersion and KPP Nonlinearity”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 30, no. 2, 2013, pp. 179-23, https://doi.org/10.1016/j.anihpc.2012.07.005.
Dávila, J., Martínez, S., & Coville, J. (2013). Pulsating fronts for nonlocal dispersion and KPP nonlinearity. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 30(2), 179-223. https://doi.org/10.1016/j.anihpc.2012.07.005
Dávila, Juan, Salomé Martínez, and Jérôme Coville. “Pulsating Fronts for Nonlocal Dispersion and KPP Nonlinearity”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire 30, no. 2 (2013): 179-223. https://doi.org/10.1016/j.anihpc.2012.07.005.
Dávila J, Martínez S, Coville J. Pulsating fronts for nonlocal dispersion and KPP nonlinearity. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2013;30(2):179-223.
Refrences
Title Journal Journal Categories Citations Publication Date
Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats Journal of Differential Equations
  • Science: Mathematics
132 2010
Generalized fronts for one-dimensional reaction-diffusion equations Discrete & Continuous Dynamical Systems 36 2010
Traveling fronts in space–time periodic media Journal de Mathématiques Pures et Appliquées
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
88 2009
Traveling waves in a one-dimensional heterogeneous medium Annales de l'Institut Henri Poincaré C, Analyse non linéaire
  • Science: Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
56 2009
A logistic equation with refuge and nonlocal diffusion Communications on Pure & Applied Analysis 44 2009
Citations
Title Journal Journal Categories Citations Publication Date
Stability and uniqueness of generalized traveling front for non-autonomous Fisher–KPP equations with nonlocal diffusion Applied Mathematics Letters
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
The spectral bound and basic reproduction ratio for nonlocal dispersal cooperative problems Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Precise Asymptotic Spreading Behavior for an Epidemic Model with Nonlocal Dispersal Taiwanese Journal of Mathematics
  • Science: Mathematics
2024
Exact rate of accelerated propagation in the Fisher-KPP equation with nonlocal diffusion and free boundaries

Mathematische Annalen
  • Science: Mathematics
2023
Principal spectral theory in multigroup age-structured models with nonlocal diffusion Calculus of Variations and Partial Differential Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2 2023
Citations Analysis
The category Science: Mathematics 74 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Travelling Waves in a Nonlocal Reaction-Diffusion Equation as a Model for a Population Structured by a Space Variable and a Phenotypic Trait and was published in 2013. The most recent citation comes from a 2024 study titled Precise Asymptotic Spreading Behavior for an Epidemic Model with Nonlocal Dispersal. This article reached its peak citation in 2020, with 12 citations. It has been cited in 41 different journals, 7% of which are open access. Among related journals, the Journal of Differential Equations cited this research the most, with 16 citations. The chart below illustrates the annual citation trends for this article.
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