Invasion waves for a nonlocal dispersal predator-prey model with two predators and one prey

Feiying Yang; Wantong Li; Renhu Wang

doi:10.3934/cpaa.2021146

Article Contents

2021, Volume 20, Issue 12: 4083-4105. Doi: 10.3934/cpaa.2021146

This issue Previous Article Extremal solution and Liouville theorem for anisotropic elliptic equations Next Article Multiplicity of positive solutions to semi-linear elliptic problems on metric graphs

Invasion waves for a nonlocal dispersal predator-prey model with two predators and one prey

School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China

^* Corresponding author
^* Corresponding author

Received: August 31, 2020

Revised: May 31, 2021

Early access: September 2021

Published: December 2021

F. Y. Yang was partially supported by NSF of China (11601205) and W. T. Li was partially supported by NSF of China (11731005, 11671180)

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Abstract

This paper is concerned with the propagation dynamics of a nonlocal dispersal predator-prey model with two predators and one prey. Precisely, our main concern is the invasion process of the two predators into the habitat of one prey, when the two predators are weak competitors in the absence of prey. This invasion process is characterized by the spreading speed of the predators as well as the minimal wave speed of traveling waves connecting the predator-free state to the co-existence state. Particularly, the right-hand tail limit of wave profile is derived by the idea of contracting rectangle.

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Mathematics Subject Classification: Primary: 35K57, 35R20, 92D25.

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