On a non-local equation arising in population dynamics
By Jérôme Coville, Louis Dupaigne. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2007
233 citations recorded by the source corpus.
Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/4808397d02a4c3cc607973af3f63f8553fac8052
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Citations in the corpus
- Existence and nonexistence of traveling waves for a nonlocal monostable equation (2008, background): “, [5, 7, 10, 11, 12, 13, 14, 15, 18, 19, 23, 24, 26, 27, 28] on traveling waves and long-time behavior in various monostable evolution systems, [2, 4, 30] nonlocal bistable equations and [20] Euler equation.”
- Travelling fronts in asymmetric nonlocal reaction diffusion equations: The bistable and ignition cases (2007, unknown): “2) Ut − (J ⋆ U − U) = f(U), where J : R → R is a nonnegative function of mass one and f a given nonlinearity, see for example [4, 18, 17, 23, 28, 30].”
- A logistic equation with refuge and nonlocal diffusion (2009, background): “We quote for instance [3], [5], [6], [8], [15], [16], [18], [19], [32] and [33], devoted to travelling front type solutions to the parabolic problem when Ω = R, and [4], [9], [10], [17], [31], which dealt with the study of problem (1.”
- On the principal eigenvalue of some nonlocal diffusion problems (2009, background): “We quote for instance [4], [6], [7], [10], [18], [19], [21], [22], [32] and [33], devoted to travelling front type solutions to the parabolic problem when Ω = R, and [5], [11], [12], [20], [31], which dealt with the 1”
- On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators (2010, unknown): “where Ω ⊂ R, k ≥ 0 satisfies ∫ Rn k(y, x)dy < ∞ for all x ∈ R and b(x) ∈ C(Ω); see among other references [1, 2, 3, 10, 11, 12, 14, 15, 16, 19, 22, 23, 24, 33, 34, 39].”