Abstract
In this paper, we study a predator-prey system with general response function and nonlocal diffusion in high dimensional space and investigate the propagation properties of its solution. More precisely, we study the invasion speed of the predator into habitat of the aborigine prey and obtain the existence of the planar waves by constructing the upper and lower solutions. Finally, we present some numerical simulations to support our results.
Funding Statement
This work is supported by the National Natural Science Foundation of China (Nos. 11771044, 11871007, 12171039 and 12001502).
Acknowledgments
We are very grateful to the anonymous referee for careful reading and helpful suggestions which led to an improvement of our original manuscript.
Citation
Min Zhao. Zhaohai Ma. Rong Yuan. "The Spreading Speed and the Existence of Planar Waves for a Class of Predator-prey System with Nonlocal Diffusion." Taiwanese J. Math. 26 (2) 381 - 410, April, 2022. https://doi.org/10.11650/tjm/211001
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