An improvement toward global boundedness in a fully parabolic chemotaxis with singular sensitivity in any dimension

Key Points

• Solutions to the chemotaxis system remain globally bounded for parameters above a certain threshold, χ₀.
• Prior research established boundedness for χ within a specific range, but this work extends that range significantly.
• The analysis uses an energy functional approach to show the conditions under which solutions exist and remain bounded.
• The findings suggest that chemotaxis models can be more versatile in their parameter selection, broadening potential applications.