Entire solutions of monotone bistable reaction–diffusion systems in RN View Full Text


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Article Info

DATE

2018-12

AUTHORS

Wei-Jie Sheng, Zhi-Cheng Wang

ABSTRACT

This paper is concerned with entire solutions of monotone bistable reaction–diffusion systems in RN. We first show that there is a new entire solution for bistable reaction–diffusion systems which behaves as three moving planar fronts as time goes to -∞ and as a V-shaped traveling front as time goes to ∞. Then we address the speed of the interfaces corresponding to the entire solution by appealing to the super-sub solutions technique. Finally, we apply our results to two important models in biology. More... »

PAGES

145

References to SciGraph publications

  • 2012-03. Symmetry of Traveling Wave Solutions to the Allen–Cahn Equation in in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2013-06. Front-Like Entire Solutions for Monostable Reaction-Diffusion Systems in JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
  • 2016-10. Existence, uniqueness and stability of pyramidal traveling fronts in reaction-diffusion systems in SCIENCE CHINA MATHEMATICS
  • 2007-04. Are buffers boring? Uniqueness and asymptotical stability of traveling wave fronts in the buffered bistable system in JOURNAL OF MATHEMATICAL BIOLOGY
  • 2015-11. Transition fronts for periodic bistable reaction-diffusion equations in CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
  • 2016-03. Multi-type Entire Solutions in a Nonlocal Dispersal Epidemic Model in JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
  • 1996-06. Stability of monotone travelling waves for competition-diffusion equations in JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
  • 1977-12. The approach of solutions of nonlinear diffusion equations to travelling front solutions in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
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