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arXiv · 2405.03909

Stability of traveling waves in non-cooperative systems with nonlocal dispersal of equal diffusivities

Jong-Shenq Guo·Masahiko Shimojo
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Abstract

In this work, we first prove a stability theorem for traveling waves in a class of non-cooperative reaction-diffusion systems with nonlocal dispersal of equal diffusivities. Our stability criterion is in the sense that the initial perturbation is such that a suitable weighted relative entropy function is bounded and integrable. Then we apply our main theorem to derive the stability of traveling waves for some specific examples of non-cooperative systems arising in ecology and epidemiology.

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Jong-Shenq Guo, Masahiko Shimojo. 2024-05-06. Stability of traveling waves in non-cooperative systems with nonlocal dispersal of equal diffusivities. https://arxiv.org/abs/2405.03909

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