Traveling wave solutions in a diffusive system with two preys and one predator

By Yanli Huang, Guo Lin. 2014

51 citations recorded by the source corpus.

Abstract This paper is concerned with the traveling wave solutions in a diffusive system with two preys and one predator. By constructing upper and lower solutions, the existence of nontrivial traveling wave solutions is established. The asymptotic behavior of traveling wave solutions is also confirmed by combining the asymptotic spreading with the contracting rectangles. Applying the theory of asymptotic spreading, the nonexistence of traveling wave solutions is proved.

Subfields: Applied Mathematics, Geometry and Topology, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/049153126492fff6b36219b35dfdc3b1c2bf1212

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In Applied Mathematics

In Geometry and Topology

In Public Health, Environmental and Occupational Health

Citations in the corpus

Traveling wave solutions for a continuous and discrete diffusive predator–prey model (2017, methodology): “For this aspect, we refer the reader to the works [23, 17, 18, 21, 15, 19, 22] for the continuous case and [16, 20] for the discrete case.”