Work

A nonlocal advection system for two competing species with resources recovering time

Year: 2025

Type: article

Abstract: Competitive interactions between multiple cell populations are crucial for modeling biological processes such as tumor growth and tissue regeneration. In this study, we investigate the nonlocal advection model for two-species competition, which characterizes cell growth and dispersion phenomena in co-culture experiments. To capture realistic phenomena in biology, we introduce the time delay representing population migration and resources recovering time. The primary objectives are to investigate the impact of time delays on competitive dynamics under various parameter settings and to develop numerical methods that ensure biological feasibility of solutions. Accordingly, we design a positivity-preserving finite volume scheme based on an upwind flux approach, guaranteeing non-negative population densities and discrete conservation properties. We examine the convergence orders of the scheme through the numerical experiments and explore the effects of time delays on species competition dynamics under different parameter settings.

Source: Frontiers in Physics

DOI: 10.3389/fphy.2025.1657967

Authors: Ping Zeng, Yoichi Enatsu, Guanyu Zhou

Institutions: University of Electronic Science and Technology of China, Tokyo University of Science

Language: English

Topic: Mathematical Biology Tumor Growth

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,077

Funders: Natural Science Foundation of Sichuan Province, Japan Society for the Promotion of Science