Arnaud Ducrot

2.1k total citations
99 papers, 1.4k citations indexed

About

Arnaud Ducrot is a scholar working on Public Health, Environmental and Occupational Health, Modeling and Simulation and Genetics. According to data from OpenAlex, Arnaud Ducrot has authored 99 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 76 papers in Public Health, Environmental and Occupational Health, 39 papers in Modeling and Simulation and 32 papers in Genetics. Recurrent topics in Arnaud Ducrot's work include Mathematical and Theoretical Epidemiology and Ecology Models (76 papers), Evolution and Genetic Dynamics (32 papers) and Mathematical Biology Tumor Growth (25 papers). Arnaud Ducrot is often cited by papers focused on Mathematical and Theoretical Epidemiology and Ecology Models (76 papers), Evolution and Genetic Dynamics (32 papers) and Mathematical Biology Tumor Growth (25 papers). Arnaud Ducrot collaborates with scholars based in France, China and United States. Arnaud Ducrot's co-authors include Pierre Magal, Thomas Giletti, Vitaly Volpert, Hiroshi Matano, Ramsès Djidjou‐Demasse, Martine Marion, Narcisa Apreutesei, Shigui Ruan, Michel Langlais and Julien Arino and has published in prestigious journals such as Journal of Theoretical Biology, Journal of Mathematical Analysis and Applications and Physica D Nonlinear Phenomena.

In The Last Decade

Arnaud Ducrot

95 papers receiving 1.3k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Arnaud Ducrot France 22 1.1k 786 629 283 150 99 1.4k
Xing Liang China 18 1.5k 1.3× 709 0.9× 712 1.1× 434 1.5× 212 1.4× 42 1.7k
Tongqian Zhang China 23 1.2k 1.1× 907 1.2× 630 1.0× 270 1.0× 90 0.6× 61 1.8k
Grégoire Nadin France 17 752 0.7× 391 0.5× 288 0.5× 358 1.3× 155 1.0× 39 1.0k
Jérôme Coville France 17 868 0.8× 568 0.7× 326 0.5× 622 2.2× 258 1.7× 37 1.3k
Chunhua Ou Canada 17 675 0.6× 374 0.5× 392 0.6× 215 0.8× 89 0.6× 64 920
Jian Fang China 19 946 0.9× 414 0.5× 470 0.7× 251 0.9× 95 0.6× 31 1.0k
Peixuan Weng China 17 707 0.6× 375 0.5× 330 0.5× 403 1.4× 82 0.5× 83 950
Yoshiaki Muroya Japan 23 1.1k 1.0× 873 1.1× 605 1.0× 259 0.9× 34 0.2× 86 1.5k
Zhigui Lin China 25 1.8k 1.6× 1.0k 1.3× 1.1k 1.7× 550 1.9× 313 2.1× 131 2.4k
Jifa Jiang China 18 733 0.7× 276 0.4× 297 0.5× 254 0.9× 152 1.0× 102 1.2k

Countries citing papers authored by Arnaud Ducrot

Since Specialization
Citations

This map shows the geographic impact of Arnaud Ducrot's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Arnaud Ducrot with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Arnaud Ducrot more than expected).

Fields of papers citing papers by Arnaud Ducrot

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Arnaud Ducrot. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Arnaud Ducrot. The network helps show where Arnaud Ducrot may publish in the future.

Co-authorship network of co-authors of Arnaud Ducrot

This figure shows the co-authorship network connecting the top 25 collaborators of Arnaud Ducrot. A scholar is included among the top collaborators of Arnaud Ducrot based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Arnaud Ducrot. Arnaud Ducrot is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Ducrot, Arnaud, et al.. (2023). Asymptotic behavior of an epidemic model with infinitely many variants. Journal of Mathematical Biology. 87(3). 40–40. 3 indexed citations
2.
Ducrot, Arnaud, et al.. (2023). Existence of multi-dimensional pulsating fronts for KPP equations: a new formulation approach. Calculus of Variations and Partial Differential Equations. 62(4). 3 indexed citations
3.
Ducrot, Arnaud, et al.. (2022). Spreading speed for an epidemic system modelling plant disease with adaptation. Discrete and Continuous Dynamical Systems - B. 28(3). 2011–2043. 1 indexed citations
4.
Fabre, Frédéric, et al.. (2021). An epi‐evolutionary model for predicting the adaptation of spore‐producing pathogens to quantitative resistance in heterogeneous environments. Evolutionary Applications. 15(1). 95–110. 10 indexed citations
5.
Ducrot, Arnaud, et al.. (2021). Asymptotic speed of spread for a nonlocal evolutionary-epidemic system. Discrete and Continuous Dynamical Systems. 41(10). 4959–4985. 10 indexed citations
6.
Ducrot, Arnaud, et al.. (2020). A one-dimensional logistic like equation with nonlinear and nonlocal diffusion: Strong convergence to equilibrium. Proceedings of the American Mathematical Society. 148(8). 3381–3392. 2 indexed citations
7.
Alfaro, Matthieu, Arnaud Ducrot, & Grégory Faye. (2019). Quantitative estimates of the threshold phenomena for propagation in\n reaction-diffusion equations. arXiv (Cornell University). 3 indexed citations
8.
Ducrot, Arnaud, et al.. (2019). Concentration estimates in a multi-host epidemiological model structured\n by phenotypic traits. arXiv (Cornell University). 6 indexed citations
9.
Ducrot, Arnaud, et al.. (2019). Travelling wave solutions for a non-local evolutionary-epidemic system. Journal of Differential Equations. 267(2). 1467–1509. 11 indexed citations
10.
Alfaro, Matthieu & Arnaud Ducrot. (2018). Population invasion with bistable dynamics and adaptive evolution: the\n evolutionary rescue. arXiv (Cornell University). 2 indexed citations
11.
Ducrot, Arnaud. (2016). Spatial propagation for a two component reaction–diffusion system arising in population dynamics. Journal of Differential Equations. 260(12). 8316–8357. 55 indexed citations
12.
Ducrot, Arnaud, et al.. (2012). A singular reaction–diffusion system modelling prey–predator interactions: Invasion and co-extinction waves. Journal of Differential Equations. 253(2). 502–532. 24 indexed citations
13.
Ducrot, Arnaud. (2012). Convergence to generalized transition waves for some Holling–Tanner prey–predator reaction–diffusion system. Journal de Mathématiques Pures et Appliquées. 100(1). 1–15. 33 indexed citations
14.
Alfaro, Matthieu & Arnaud Ducrot. (2011). Sharp interface limit of the Fisher-KPP equation when initial data have slow exponential decay. Discrete and Continuous Dynamical Systems - B. 16(1). 12–29. 3 indexed citations
15.
Ducrot, Arnaud. (2010). Travelling waves for a size and space structured model in population dynamics: Point to sustained oscillating solution connections. Journal of Differential Equations. 250(1). 410–449. 9 indexed citations
16.
Adimy, Mostafa, et al.. (2009). On the Dynamics of an Impulsive Model of Hematopoiesis. Mathematical Modelling of Natural Phenomena. 4(2). 68–91. 2 indexed citations
17.
Ducrot, Arnaud, et al.. (2009). Hopf bifurcation in a size-structured population dynamic model with random growth. Journal of Differential Equations. 247(3). 956–1000. 35 indexed citations
18.
Ducrot, Arnaud, et al.. (2009). A mathematical model for malaria involving differential susceptibility, exposedness and infectivity of human host. Journal of Biological Dynamics. 3(6). 574–598. 24 indexed citations
19.
Ducrot, Arnaud, et al.. (2007). Essential growth rate for bounded linear perturbation of non-densely defined Cauchy problems. Journal of Mathematical Analysis and Applications. 341(1). 501–518. 69 indexed citations
20.
Ducrot, Arnaud, Martine Marion, & Vitaly Volpert. (2005). Systèmes de réaction–diffusion sans propriété de Fredholm. Comptes Rendus Mathématique. 340(9). 659–664. 28 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Xing Liang Breakdown of academic impact, for papers by Tongqian Zhang Breakdown of academic impact, for papers by Grégoire Nadin Breakdown of academic impact, for papers by Jérôme Coville Breakdown of academic impact, for papers by Chunhua Ou Breakdown of academic impact, for papers by Jian Fang Breakdown of academic impact, for papers by Peixuan Weng Breakdown of academic impact, for papers by Yoshiaki Muroya Breakdown of academic impact, for papers by Zhigui Lin Breakdown of academic impact, for papers by Jifa Jiang
Rankless by CCL
2026