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- W3100682444 abstract "This paper is concerned with front-like entire solutions for monostable reaction-diffusion systems with cooperative and non-cooperative nonlinearities. In the cooperative case, the existence and asymptotic behavior of spatially independent solutions (SIS) are first proved. Further, combining a SIS and traveling fronts with different wave speeds and propagation directions, the existence and various qualitative properties of entire solutions are established by using the comparison principle. In the non-cooperative case, we introduce two auxiliary cooperative systems and establish a comparison theorem for the Cauchy problems of the three systems, and then prove the existence of entire solutions via using the comparison theorem, the traveling fronts and SIS of the auxiliary systems. Our results are applied to some biological and epidemiological models. To the best of our knowledge, it is the first work to study the entire solutions of non-cooperative reaction-diffusion systems." @default.
- W3100682444 created "2020-11-23" @default.
- W3100682444 creator A5033346927 @default.
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- W3100682444 date "2013-02-26" @default.
- W3100682444 modified "2023-10-16" @default.
- W3100682444 title "Front-Like Entire Solutions for Monostable Reaction-Diffusion Systems" @default.
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- W3100682444 doi "https://doi.org/10.1007/s10884-013-9293-6" @default.
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