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List of works by Yves Dumont

A Dynamic Model with Friction and Adhesion with Applications to Rocks

article

A minimal continuous model for simulating growth and development of plant root systems

A minimalistic model of tree–grass interactions using impulsive differential equations and non-linear feedback functions of grass biomass onto fire-induced tree mortality

scholarly article by A. Tchuinté Tamen et al published March 2017 in Mathematics and Computers in Simulation

A minimalistic model of vegetation physiognomies in the savanna biome

scientific article published on 17 December 2020

A new mathematical framework for modelling the biomechanics of growing trees with rod theory

scholarly article by Thomas Guillon et al published May 2012 in Mathematical and Computer Modelling

An impulsive modelling framework of fire occurrence in a size-structured model of tree-grass interactions for savanna ecosystems ⬇️

scientific article published on 22 September 2016

Analysis and simulations of a nonlinear elastic dynamic beam

BIOMATH 2013

Biomechanics of Growing Trees: Mathematical Model, Numerical Resolution and Perspectives

scholarly article published 2011

Direct and apparent compensation in plant–herbivore interactions

article

Dynamic contact of a beam against rigid obstacles: Convergence of a velocity-based approximation and numerical results

scholarly article by Yves Dumont & Laetitia Paoli published April 2015 in Nonlinear Analysis

Dynamically consistent nonstandard finite difference schemes for epidemiological models

scholarly article by Roumen Anguelov et al published January 2014 in Journal of Computational and Applied Mathematics

Editorial of the Special Issue of the 4th International Symposium on Plant Growth Modeling, Simulation, Visualization and Applications (PMA’12)

article

Frictional contact of a nonlinear spring

article

Human behaviors: A threat to mosquito control? ⬇️

scientific article published on 31 August 2016

Impact of environmental factors on mosquito dispersal in the prospect of sterile insect technique control

Impacts of biotic and abiotic parameters on immature populations of Aedes aegypti

scientific article published on 6 March 2020

Implementation of control strategies for sterile insect techniques

scientific article published on 06 June 2019

Intraguild predation and mesopredator release effect on long-lived prey

scholarly article by James C. Russell et al published April 2009 in Ecological Modelling

Larval interference competition between the native Neotropical mosquito Limatus durhamii and the invasive Aedes aegypti improves the fitness of both species

scientific article published on 12 May 2017

Mathematical Modeling of Sterile Insect Technology for Control of Anopheles Mosquito

scholarly article published 2011

Mathematical modeling of sterile insect technology for control of anopheles mosquito

article by Roumen Anguelov et al published August 2012 in Computers and Mathematics with Applications

Mathematical studies on the sterile insect technique for the Chikungunya disease and Aedes albopictus

scientific article

Modeling Mosquito Distribution. Impact of the Landscape

Modeling oil palm pollinator dynamics using deterministic and agent-based approaches. Applications on fruit set estimates. Some preliminary results

article

Modeling the temporal evolution of cocoa black pod rot disease caused by Phytophthora megakarya

Models for Miridae, a cocoa insect pest. Application in control strategies

Non-standard finite difference schemes for multi-dimensional second-order systems in non-smooth mechanics

article by Yves Dumont & Jean Lubuma published 2007 in Mathematical Methods in the Applied Sciences

Non-standard finite-difference methods for vibro-impact problems

article by Yves Dumont & Jean Lubuma published 27 May 2005 in Proceedings of the Royal Society A

Numerical methods for the biomechanics of growing trees

scholarly article by Thomas Guillon et al published August 2012 in Computers and Mathematics with Applications

On a temporal model for the Chikungunya disease: modeling, theory and numerics.

scientific article published on 29 February 2008

On a three-stage structured model for the dynamics of malaria transmission with human treatment, adult vector demographics and one aquatic stage

scientific article published on 02 January 2019

On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts

scientific article published in 2018

On nonstandard finite difference schemes in biosciences

scientific article published on 01 October 2012

On the use of the sterile insect release technique to reduce or eliminate mosquito populations

article by Martin Strugarek et al published April 2019 in Applied Mathematical Modelling

Predicting the altitudinal distribution of an introduced phytophagous insect against an invasive alien plant from laboratory controlled experiments: case of Cibdela janthina (Hymenoptera:Argidae) and Rubus alceifolius (Rosaceae) in La Réunion

article

Resolving Singularities in a Ramsey-type Growth Model

Robust control strategy by the Sterile Insect Technique for reducing epidemiological risk in presence of vector migration

scientific article published in 2022

Seasonal variation in size estimates of Aedes albopictus population based on standard mark-release-recapture experiments in an urban area on Reunion Island

scientific article published on 13 January 2015

Simulations and parameter estimation of a trap-insect model using a finite element approach

scholarly article by Roumen Anguelov et al published March 2017 in Mathematics and Computers in Simulation

Spatio-temporal Modeling of Mosquito Distribution

Stability Analysis and Dynamics Preserving Nonstandard Finite Difference Schemes for a Malaria Model

article

Tree–grass interaction dynamics and pulsed fires: Mathematical and numerical studies ⬇️

scholarly article by A. Tchuinté Tamen et al published June 2016 in Applied Mathematical Modelling

Vector control for the Chikungunya disease.

scientific article published on April 2010

Vibrations of a beam between obstacles. Convergence of a fully discretized approximation

article

Vibrations of a beam between stops: numerical simulations and comparison of several numerical schemes

article

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