NONEXISTENCE OF COEXISTING STEADY-STATE SOLUTIONS FOR A REACTION-DIFFUSION COMPETING SYSTEM WITH FRACTIONAL TYPE CROSS-DIFFUSION

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.

Authors

Publication Details

Journal
Journal of Applied Analysis & Computation
Published
2025-01-01
DOI
https://doi.org/10.11948/20250005
Primary Topic
Stability and Controllability of Differential Equations
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

NONEXISTENCE OF COEXISTING STEADY-STATE SOLUTIONS FOR A REACTION-DIFFUSION COMPETING SYSTEM WITH FRACTIONAL TYPE CROSS-DIFFUSION

Ningning Zhu, Fanwei Meng
Journal of Applied Analysis & Computation
Stability and Controllability of Differential Equations
article

NONEXISTENCE OF COEXISTING STEADY-STATE SOLUTIONS FOR A REACTION-DIFFUSION COMPETING SYSTEM WITH FRACTIONAL TYPE CROSS-DIFFUSION

Ningning Zhu, Fanwei Meng
article en

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.

Journal of Applied Analysis & ComputationVol. 15(6)
Openalex Percentile: Top 84%
Stability and Controllability of Differential Equations
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

NONEXISTENCE OF COEXISTING STEADY-STATE SOLUTIONS FOR A REACTION-DIFFUSION COMPETING SYSTEM WITH FRACTIONAL TYPE CROSS-DIFFUSION — Ningning Zhu, Fanwei Meng · Journal of Applied Analysis & Computation (2025) | TGRS Research Map | TGRS