Invasion traveling wave solutions of a predator–prey system
By Guo Lin. 2014
66 citations recorded by the source corpus.
Abstract This paper is concerned with the traveling wave solutions of a predator–prey system, in which intra-specific conflictions are involved. By using the comparison principle and the asymptotic speed of spreading, the existence, nonexistence and minimal wave speed of non-negative traveling wave solutions are established. Such a traveling wave solution can model the spatial–temporal process where the predator invades the territory of the prey and they eventually coexist.
Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/9fdbecf78108e63b0d335e82803c178361ddf0eb
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In Genetics
In Modeling and Simulation
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Traveling wave solutions for a continuous and discrete diffusive predator–prey model (2017, background): “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.”
- Traveling waves for a generalized Holling-Tanner predator-prey model (2017, background): “Moreover, by rather standard arguments similarly to those in the references [28,30,36,38,40], we can show that T is completely continuous on X.”