Traveling wave fronts for generalized Fisher equations with spatio-temporal delays

By Shangbing Ai. 2007

97 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Numerical Analysis, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/67153794d3c5d8541dcbe083a75c0a3c58453da8

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Citations in the corpus

Monotone traveling wavefronts of the KPP-Fisher delayed equation (2010, background): “In particular, the existence of traveling fronts connecting the trivial and positive steady states in (3) (and its non-local generalizations) was studied in [2,4,7,11,16,27,33,35].”
Traveling Wave Solutions for Delayed Reaction–Diffusion Systems and Applications to Diffusive Lotka–Volterra Competition Models with Distributed Delays (2014, unknown): “In studying the nonlinear dynamics of delayed reaction–diffusion systems, one of the important topics is the existence of traveling wave solutions because of their significant roles in biological invasion and epidemic spreading, we refer to Ai [2], Gourley and Ruan [4], Fang and Wu [5], Faria et al.”
Traveling Fronts in Monostable Equations with Nonlocal Delayed Effects (2008, methodology): “The second is using the geometric singular perturbation theory of Fenichel [18], see Ai [1], Ashwin et al.”
Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models (2009, methodology): “For scalar equations with diffusion and delays, the existence of traveling wave solutions has been widely studied by using the comparison principle [29, 30, 31, 42, 46, 47, 51, 55, 57, 65] and perturbation method [3, 6, 7, 34].”
Bistable wavefronts in a diffusive and competitive Lotka-Volterra type system with nonlocal delays (2008, background): “Thus, the regularity of u3 and u4 is clear, it refers to [1,4,18].”
Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect (2012, background): “2) have been considered in many papers, for example, [1,2,9,17,39] and the references therein.”