Spreading dynamics for a predator-prey system with two predators and one prey in a shifting habitat

Jong-Shenq Guo; Masahiko Shimojo; Chin-Chin Wu

doi:10.3934/dcdsb.2022170

Article Contents

2023, Volume 28, Issue 12: 6126-6141. Doi: 10.3934/dcdsb.2022170

This issue Previous Article Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems Next Article Hyperbolic limit for a biological invasion

Spreading dynamics for a predator-prey system with two predators and one prey in a shifting habitat

1.
Tamkang University, Taiwan
2.
Tokyo Metropolitan University, Japan
3.
National Chung Hsing University, Taiwan

^*Corresponding author: Chin-Chin Wu
^*Corresponding author: Chin-Chin Wu

Received: October 2021

Revised: July 2022

Early access: August 2022

Published: December 2023

The first (JSG) and the third (CCW) authors of this work was partially supported by the Ministry of Science and Technology of Taiwan under the grants 111-2115-M-032-005 and 110-2115-M-005-001-MY2. The second author (MS) was partially supported by JSPS KAKENHI Grant-in-Aid for Young Scientists (B) (No. 16K17634) and JSPS KAKENHI Grant-in-Aid for Scientific Research (C) (No. 20K03708)

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Abstract

We study the spreading dynamics for a three-species predator-prey system with two weak competing predators and one prey in a shifting habitat. First, we derive some extinction results for each species. Then we provide some persistence theorems for each species with moving speeds exceed the shifting speed, but less than some certain quantities. Finally, the convergence to a certain constant state is proven in each persistent regime.

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Mathematics Subject Classification: Primary: 35K45, 35K57; Secondary: 92D25.

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References

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