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- W2313843084 abstract "This paper is concerned with traveling fronts and entiresolutions for a class of monostable partially degeneratereaction-diffusion systems. It is known that the system admitstraveling wave solutions.In this paper, we first prove the monotonicity and uniqueness of thetraveling wave solutions, and the existence of spatially independentsolutions. Combiningtraveling fronts with differentspeeds and a spatially independent solution, the existence and various qualitative features of entiresolutions are then established by using comparisonprinciple. As applications, we consider a reaction-diffusion modelwith a quiescent stage in population dynamics and aman-environment-man epidemic model in physiology." @default.
- W2313843084 created "2016-06-24" @default.
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- W2313843084 date "2013-01-01" @default.
- W2313843084 modified "2023-10-16" @default.
- W2313843084 title "Traveling fronts and entire solutions in partially degenerate reaction-diffusion systems with monostable nonlinearity" @default.
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- W2313843084 doi "https://doi.org/10.3934/dcds.2013.33.921" @default.
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