List of works - Arnaud Ducrot

A center manifold for second order semilinear differential equations on the real line and applications to the existence of wave trains for the Gurtin–McCamy equation

scientific article published in 2019

A metapopulation model for malaria with transmission-blocking partial immunity in hosts

scientific article

A model of a fishery with fish stock involving delay equations.

scientific article published in December 2009

A short proof for Hopf bifurcation in Gurtin-MacCamy’s population dynamics model

scientific article published in 2023

Asymptotic behavior of solutions to a class of diffusive predator–prey systems

scientific article published in 2017

Asymptotic spreading speeds for a predator–prey system with two predators and one prey

scientific article published in 2021

Behaviors of Solutions for a Singular Prey–Predator Model and its Shadow System

scientific article published in 2017

Convergence to a pulsating travelling wave for an epidemic reaction-diffusion system with non-diffusive susceptible population

scientific article published on 25 July 2013

Convergence to generalized transition waves for some Holling–Tanner prey–predator reaction–diffusion system

scientific article published in 2013

Hopf bifurcation theorem for second-order semi-linear Gurtin–MacCamy equation

scientific article published in 2022

Large speed traveling waves for the Rosenzweig–MacArthur predator–prey model with spatial diffusion

scientific article published in 2021

Mathematical modeling of forest ecosystems by a reaction–diffusion–advection system: impacts of climate change and deforestation

scientific article published in 2021

Population invasion with bistable dynamics and adaptive evolution: The evolutionary rescue

scientific article published in 2018

Quenching behaviour for a singular predator–prey model

scientific article published in 2012

Spreading speeds for multidimensional reaction–diffusion systems of the prey–predator type

scientific article published in 2019

Steady state concentration for a phenotypic structured problem modeling the evolutionary epidemiology of spore producing pathogens

The dispersion of age differences between partners and the asymptotic dynamics of the HIV epidemic ⬇️

scientific article published on January 1, 2012

The spreading speed and the minimal wave speed of a predator–prey system with nonlocal dispersal

scientific article published in 2019

List of works by Arnaud Ducrot

A center manifold for second order semilinear differential equations on the real line and applications to the existence of wave trains for the Gurtin–McCamy equation

A metapopulation model for malaria with transmission-blocking partial immunity in hosts

A model of a fishery with fish stock involving delay equations.

A short proof for Hopf bifurcation in Gurtin-MacCamy’s population dynamics model

Asymptotic behavior of solutions to a class of diffusive predator–prey systems

Asymptotic spreading speeds for a predator–prey system with two predators and one prey

Behaviors of Solutions for a Singular Prey–Predator Model and its Shadow System

Convergence to a pulsating travelling wave for an epidemic reaction-diffusion system with non-diffusive susceptible population

Convergence to generalized transition waves for some Holling–Tanner prey–predator reaction–diffusion system

Hopf bifurcation theorem for second-order semi-linear Gurtin–MacCamy equation

Large speed traveling waves for the Rosenzweig–MacArthur predator–prey model with spatial diffusion

Mathematical modeling of forest ecosystems by a reaction–diffusion–advection system: impacts of climate change and deforestation

Population invasion with bistable dynamics and adaptive evolution: The evolutionary rescue

Quenching behaviour for a singular predator–prey model

Spreading speeds for multidimensional reaction–diffusion systems of the prey–predator type

Steady state concentration for a phenotypic structured problem modeling the evolutionary epidemiology of spore producing pathogens

The dispersion of age differences between partners and the asymptotic dynamics of the HIV epidemic ⬇️

The spreading speed and the minimal wave speed of a predator–prey system with nonlocal dispersal