June 2022 Invasion Speed of Predator in a Lattice Dynamical System
Baoju SUN, Fuzhen WU
Author Affiliations +
Hokkaido Math. J. 51(2): 211-224 (June 2022). DOI: 10.14492/hokmj/2020-313

Abstract

This article studies the invasion dynamics of a lattice dynamical system with predator-prey type nonlinearity, which models that the predator invades the habitat of the prey. The system does not generate monotone semiflows and can not be studied by the well known conclusions. By constructing proper auxiliary equations, we obtain the rough invasion speed of the predator that initially occupies a habitat of finite size.

Acknowledgment

We would like to thank to the anonymous reviewer for his/her very careful reading of the manuscript and very helpful comments.

Citation

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Baoju SUN. Fuzhen WU. "Invasion Speed of Predator in a Lattice Dynamical System." Hokkaido Math. J. 51 (2) 211 - 224, June 2022. https://doi.org/10.14492/hokmj/2020-313

Information

Received: 17 February 2020; Revised: 9 April 2020; Published: June 2022
First available in Project Euclid: 9 September 2022

Digital Object Identifier: 10.14492/hokmj/2020-313

Subjects:
Primary: 35C07 , 35K57 , 37C65 , 92D25

Keywords: asymptotic spreading , nonmonotone system , upper-lower solutions

Rights: Copyright c 2022 Hokkaido University, Department of Mathematics

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Vol.51 • No. 2 • June 2022
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