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Discrete and Continuous Dynamical Systems - Series A (DCDS-A)
 

Traveling waves of a mutualistic model of mistletoes and birds

Pages: 1743 - 1765, Volume 35, Issue 4, April 2015      doi:10.3934/dcds.2015.35.1743

 
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Chuncheng Wang - Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang, 150001, China (email)
Rongsong Liu - Department of Mathematics and Department of Zoology and Physiology, University of Wyoming, Laramie, WY, 82071, United States (email)
Junping Shi - Department of Mathematics, College of William and Mary, Williamsburg, Virginia, 23187-8795, United States (email)
Carlos Martinez del Rio - Department of Zoology and Physiology, University of Wyoming, Laramie, WY, 82071, United States (email)

Abstract: The existences of an asymptotic spreading speed and traveling wave solutions for a diffusive model which describes the interaction of mistletoe and bird populations with nonlocal diffusion and delay effect are proved by using monotone semiflow theory. The effects of different dispersal kernels on the asymptotic spreading speeds are investigated through concrete examples and simulations.

Keywords:  Model of mistletoes and birds, reaction-diffusion, nonlocal, asymptotic spreading speed, traveling wave.
Mathematics Subject Classification:  92D25, 92D40, 35K57.

Received: July 2013;      Revised: September 2014;      Available Online: November 2014.

 References