Minimal-speed selection of traveling waves to the Lotka–Volterra competition model
By Ahmad Alhasanat, Chunhua Ou. Journal of Differential Equations, 2019
72 citations recorded by the source corpus.
Abstract In this paper the minimal-speed determinacy of traveling wave fronts of a two-species competition model of diffusive Lotka–Volterra type is investigated. First, a cooperative system is obtained from the classical Lotka–Volterra competition model. Then, we apply the upper-lower solution technique on the cooperative system to study the traveling waves as well as its minimal-speed selection mechanisms: linear or nonlinear. New types of upper and lower solutions are established. Previous results for the linear speed selection are extended, and novel results on both linear and nonlinear selections are derived.
Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/74190f4dcede8d9ee3fe652e59ad30660c074355
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Citations in the corpus
- Invasion of open space by two competitors: spreading properties of monostable two‐species competition‐diffusion systems (2018, background): “Depending on the parameters, linear determinacy (cLLW = 2 √ 1 − a) holds true in some cases (we refer for instance to Lewis–Li–Weinberger [24], Huang [19], Alhasanat–Ou [1]) but fails (cLLW > 2 √ 1 − a) in other cases (for instance, Huang–Han [20], Alhasanat–Ou [1]).”