Work

Biological invasion with a porous medium type diffusion in a heterogeneous space

Year: 2024

Type: article

Abstract: The knowledge of traveling wave solutions is the main tool in the study of wave propagation. However, in a spatially heterogeneous environment, traveling wave solutions do not exist, and a different approach is needed. In this paper, we study the generation and the propagation of hyperbolic scale singular limits of a KPP-type reaction-diffusion equation when the carrying capacity is spatially heterogeneous and the diffusion is of a porous medium equation type. We show that the interface propagation speed varies according to the carrying capacity.

Source: Journal of Mathematical Biology

DOI: 10.1007/s00285-024-02124-6

Authors: Hyunjoon Park, Yong-Jung Kim

Institutions: Meiji University, Meiji Institute for Advanced Study of Mathematical Sciences, Korea Advanced Institute of Science and Technology

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,890

Funders: National Research Foundation, National Research Foundation of Korea, Korea Advanced Institute of Science and Technology