|Bistable traveling waves in degenerate competitive systems
|Lin, Guo; Huang, Yanli
|Online publication date
|JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Impact Factor & Quartile
|This article studies the bistable traveling wave solutions for diffusion-competition systems, in which the degenerate nonlinearities appear and two different diffusion modes are admissible. The corresponding reaction system has two locally asymptotically stable steady states and two unstable steady states. Using the abstract theory established for monotone semiflows, we obtain the existence of monotone bistable traveling wave solutions. The uniqueness of wave speed is confirmed by constructing appropriate upper and lower solutions. When the initial value satisfies proper conditions, it is proved that the wave speed is the expansion speed of two functions defined by the corresponding Cauchy problem, which implies that the sign of wave speed determines the relative competitiveness in population dynamics. Numerically, it seems that the species with stronger degeneracy may have stronger competitiveness under bistable assumption and other proper conditions.(c) 2023 Elsevier Inc. All rights reserved.
|ACADEMIC PRESS INC ELSEVIER SCIENCE
|WOS Research Area
|Original Document Type
Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
Lin, Guo,Huang, Yanli. Bistable traveling waves in degenerate competitive systems[J].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2023,526(2).
Lin, Guo,&Huang, Yanli.(2023).Bistable traveling waves in degenerate competitive systems.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,526(2).
Lin, Guo,et al."Bistable traveling waves in degenerate competitive systems".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 526.2(2023).
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