Abstract
This paper is to derive the precise asymptotic spreading behavior for an epidemic model with nonlocal dispersal. The proof is based on a Liouville type theorem on the positive bounded entire solutions. This Liouville theorem holds for a general class of reaction-diffusion systems with nonlocal dispersal which can be useful for reaction-diffusion systems arising in ecology and epidemiology.
Funding Statement
This work is partially supported by the Ministry of Science and Technology of Taiwan under the grant 112-2115-M-032-001, JSPS KAKENHI Grant-in-Aid for JSPS Fellows (No. 23KJ0824), and JSPS KAKENHI Grant-in-Aid for Scientific Research (C) (No. 20K03708).
Citation
Jong-Shenq Guo. Amy Ai Ling Poh. Masahiko Shimojo. "Precise Asymptotic Spreading Behavior for an Epidemic Model with Nonlocal Dispersal." Taiwanese J. Math. 28 (3) 539 - 549, June, 2024. https://doi.org/10.11650/tjm/240101
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