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Minimal wave speed of a competition integrodifference system
Journal of Difference Equations and Applications, 2018In this paper, we study the minimal wave speed of a competitive system. By constructing upper and lower solutions, we confirm the existence of travelling wave solution at the critical wave speed.
Luping Li +3 more
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Minimal wave speed of a competitive integrodifference system
International Journal of Biomathematics, 2019This paper is concerned with the minimal wave speed of traveling wave solutions of a discrete competitive system with Lotka–Volterra type nonlinearity. By constructing upper and lower solutions, we confirm the existence of traveling wave solutions if the wave speed is the minimal wave speed. Our results complete the earlier conclusions.
Fuguo Zhu, Shuxia Pan
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The minimal wave speed to the Lotka-Volterra competition model
Journal of Mathematical Analysis and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yue, Yuanxi +3 more
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Minimal wave speed and spread speed of competing pioneer and climax species
Applicable Analysis, 2014In this article, for a diffusive population model describing interaction of pioneer-climax species, we explore the issues of spreading speed, linear determinacy and traveling wave fronts. Applying the theory developed by Weinberger et al. [J. Math. Biol.
Peixuan Weng, Xingfu Zou
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On the minimal wave speed of wave fronts for reaction-diffusion equations
Acta Mathematicae Applicatae Sinica, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Mingxin, Ye, Qixiao
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Minimal wave speed in an HIV-1 virus integrodifference system
International Journal of Biomathematics, 2021This paper is concerned with the minimal wave speed of nonconstant traveling wave solutions in an HIV-1 virus integrodifference system. Here, the traveling wave solution models the spatial spreading process of infected cells and virus. When the basic reproduction ratio of the corresponding ordinary differential system or difference system is larger ...
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The minimal wave speed of a general reaction–diffusion equation with nonlinear advection
Zeitschrift für angewandte Mathematik und Physik, 2021In recent years, many researchers paid attention to the linear and nonlinear determinacy of the minimal wave speed of various monostable reaction-diffusion systems. Since all these systems are monotone systems, the comparison principle together with the upper-lower solutions was used as a main tool. We can refer to [the authors, SIAM J. Math. Anal. 51,
Manjun Ma, Chunhua Ou
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Minimal-speed selection of traveling waves to the Lotka–Volterra competition model
Journal of Differential Equations, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alhasanat, Ahmad, Ou, Chunhua
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