Different asymptotic spreading speeds induced by advection in a diffusion problem with free boundaries
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- by Hong Gu, Zhigui Lin and Bendong Lou PDF
- Proc. Amer. Math. Soc. 143 (2015), 1109-1117 Request permission
Abstract:
In this paper, we consider a Fisher-KPP equation with an advection term and two free boundaries, which models the behavior of an invasive species in one dimension space. When spreading happens (that is, the solution converges to a positive constant), we use phase plane analysis and upper/lower solutions to prove that the rightward and leftward asymptotic spreading speeds exist and both are positive constants. Moreover, one of them is bigger and the other is smaller than the spreading speed in the corresponding problem without advection term.References
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Additional Information
- Hong Gu
- Affiliation: Department of Mathematics, Tongji University, Shanghai 200092, People’s Republic of China
- Email: honggu87@126.com
- Zhigui Lin
- Affiliation: School of Mathematical Science, Yangzhou University, Yangzhou 225002, People’s Republic of China
- Email: zglin68@hotmail.com
- Bendong Lou
- Affiliation: Department of Mathematics, Tongji University, Shanghai 200092, People’s Republic of China
- Email: blou@tongji.edu.cn
- Received by editor(s): January 13, 2013
- Received by editor(s) in revised form: March 27, 2013
- Published electronically: November 5, 2014
- Additional Notes: This paper was partly supported by the NSFC (11271285, 11071209).
- Communicated by: Yingfei Yi
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 1109-1117
- MSC (2010): Primary 35B40, 35K57, 34C37, 92B05
- DOI: https://doi.org/10.1090/S0002-9939-2014-12214-3
- MathSciNet review: 3293726