Rani, PoonamPoonamRaniTyagi, JagmohanJagmohanTyagi2025-08-312025-08-312025-06-0110.1007/s00033-025-02477-y2-s2.0-105002949361https://d8.irins.org/handle/IITG2025/28109We consider the following chemotaxis system: (Formula presented.) under homogeneous Neumann boundary conditions in a bounded smooth domain Ω⊂Rn,n=2,3 with nonlinear functions f and g. We establish the existence of a global classical solution under the smallness assumption on initial data. This result generalizes the existing findings for the minimal case, where f(s)=s and g(s)=s. We further present blow-up criteria for the system.falseBlow-up criteria | Chemotaxis | Consumption | Global existence and boundedness | Parabolic systemsGlobal classical solutions to a chemotaxis consumption system with nonlinear sensitivity and signal consumptionArticle14209039June 2025092arJournal0WOS:001470204100001