Front propagation for discrete periodic monostable equations

By Jong-Shenq Guo, François Hamel. 2006

102 citations recorded by the source corpus.

Subfields: Applied Mathematics, Numerical Analysis, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/cc7aaf17a811cfdb82748faa7ac2b677751edfa8

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In Applied Mathematics

In Numerical Analysis

In Public Health, Environmental and Occupational Health

Citations in the corpus

Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations (2012, unknown): “The reader is referred to [7], [8], [9], [21], [22], [29], [50], [59], [60].”
Traveling Waves in Discrete Periodic Media for Bistable Dynamics (2008, methodology): “Recently, one of the authors and Hamel [ 23 ] provided a different proof for the existence of traveling waves for all speeds c cmin for some positive minimal speed cmin.”
Qualitative properties of monostable pulsating fronts: exponential decay and monotonicity (2008, methodology): “We refer to [1, 4, 5, 14, 15, 21, 25, 40, 42, 46, 52] for further existence results or applications of formulas of the type (1.”
Existence, Uniqueness, and Stability of Generalized Traveling Waves in Time Dependent Monostable Equations (2011, background): “... 43,45,46,57], and references therein for more general time and space independent reaction diffusion equations of KPP type; see [5–7,14,21,27,29,32,36,37,40,44,67], and references therein for space and/or time periodic reaction diffusion equations of KPP type; see [14,18, 33,38,39,63,64],andrefer”
Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats (2010, unknown): “Note that in [10], [11], [24], [30], [56], [61], etc.”
On uniqueness of semi-wavefronts (2010, background): “sults in [12]. It would be interesting to consider further generalizations of (1) in order to include more applications (for example, equations with distributed delays considered in [16,17], see also [25,33,39]). However, we do not pursue this direction in our current work. After all, ours is not th”
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.”
Bistable Traveling Waves for Monotone Semiflows with Applications (2011, background): “For spreading speeds of various monostable evolution systems, we refer to [2, 8, 22, 25, 26, 28, 38, 39, 48] and references therein.”