Work

Nonexistence of Coexisting Steady-state Solutions for a Reaction-diffusion Competing System With Fractional Type Cross-diffusion

Year: 2025

Type: article

Abstract: We discuss a system of two competing species with fractional type cross-diffusion. The basic idea is to make a link among the extreme values of steady-state solutions according to the maximum principle. Then by introducing a proper discriminant function, which is monotonically decreasing, we establish sufficient conditions such that the system has no coexisting steady-state solutions.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20250005

Authors: Ningning Zhu, Fanwei Meng

Institution: Qufu Normal University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

Funder: Natural Science Foundation of Shandong Province

Award: G7312848699