Existence of nontrivial steady states for populations structured with respect to space and a continuous trait
By Anton Arnold, Laurent Desvillettes, C. Prévost. 2011
55 citations recorded by the source corpus.
We prove the existence of nontrivial steady states to reaction-diffusion equations with a continuous parameter appearing in selection/mutation/competition/migration models for populations, which are structured both with respect to space and a continuous trait.
Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/019a2f09c76b807c37c3517e108f69206fc413bd
How researchers see this paper
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In Genetics
- Emeric Bouin
- Sepideh Mirrahimi
- Vincent Calvez
- Lenya Ryzhik
- Jérôme Coville
- Benoit Perthame
- Raphael Voituriez
- Gaël Raoul
In Modeling and Simulation
- Emeric Bouin
- Vincent Calvez
- Sepideh Mirrahimi
- Lenya Ryzhik
- Gaël Raoul
- Michael Winkler
- Jérôme Coville
- Matthieu Alfaro
In Public Health, Environmental and Occupational Health
- Emeric Bouin
- Sepideh Mirrahimi
- Gaël Raoul
- Benoit Perthame
- Jérôme Coville
- Matthieu Alfaro
- Lenya Ryzhik
- Michael Winkler
Citations in the corpus
- A Hamilton-Jacobi approach for a model of population structured by space and trait (2013, background): “Although, there have been some attempts to study models structured by trait and space (see for instance [16, 2, 10, 14, 11]), not many rigorous studies seem to have analyzed the dynamics of a population continuously structured by trait and by space, with non-local interactions.”
- Super-linear spreading in local and non-local cane toads equations (2015, background): “Several works have addressed the front invasions in ecology, where the trait is related to the dispersal ability [3, 15].”
- Travelling Waves in a Nonlocal Reaction-Diffusion Equation as a Model for a Population Structured by a Space Variable and a Phenotypic Trait (2012, background): “The existence of global solutions for the Cauchy problem and of non trivial steady states for (1) have been investigated respectively in [41] and [2].”
- Invasion fronts with variable motility: Phenotype selection, spatial sorting and wave acceleration (2012, background): “There is no intrinsic speed of propagation, and the front is accelerating as time goes on.”