Traveling waves of a mutualistic model of mistletoes and birds

Chuncheng Wang; Rongsong Liu; Junping Shi; Carlos Martinez Del Rio

doi:10.3934/dcds.2015.35.1743

Traveling waves of a mutualistic model of mistletoes and birds

Chuncheng Wang
, Rongsong Liu
, Junping Shi
, Carlos Martinez Del Rio

School of Mathematics

University of Wyoming
College of William and Mary

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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.

Original language	English
Pages (from-to)	1743-1765
Number of pages	23
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	35
Issue number	4
DOIs	https://doi.org/10.3934/dcds.2015.35.1743
State	Published - 1 Apr 2015

Keywords

Asymptotic spreading speed
Model of mistletoes and birds
Nonlocal
Reaction-diffusion
Traveling wave

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10.3934/dcds.2015.35.1743

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title = "Traveling waves of a mutualistic model of mistletoes and birds",

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 = "Asymptotic spreading speed, Model of mistletoes and birds, Nonlocal, Reaction-diffusion, Traveling wave",

author = "Chuncheng Wang and Rongsong Liu and Junping Shi and \{Del Rio\}, \{Carlos Martinez\}",

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AU - Liu, Rongsong

AU - Shi, Junping

AU - Del Rio, Carlos Martinez

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N2 - 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.

AB - 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.

KW - Asymptotic spreading speed

KW - Model of mistletoes and birds

KW - Nonlocal

KW - Reaction-diffusion

KW - Traveling wave

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AN - SCOPUS:84915749375

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JO - Discrete and Continuous Dynamical Systems- Series A

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ER -

Traveling waves of a mutualistic model of mistletoes and birds

Abstract

Keywords

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