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Global existence and boundedness in an attraction-repulsion chemotaxis system with nonlocal logistic source and sublinear productions
Gnanasekaran Shanmugasundaram, Nithyadevi Nagarajan
https://arxiv.org/abs/2507.08305

Global existence and boundedness in an attraction-repulsion chemotaxis system with nonlocal logistic source and sublinear productions
This paper deals with the following attraction-repulsion chemotaxis system with nonlocal logistic source and sublinear productions \begin{align} \left\{ \begin{array}{rrll} &&u_t = d_1 Δu-χ\nabla\cdot(u^k \nabla v)+ξ\nabla\cdot(u^k \nabla w)+ μu^m \left(1-\int_Ωu(x,t)\dx\right),\hspace*{0.5cm} &x\inΩ,\, t>0,\\ &&v_t = d_2 Δv-αv+f(u), &x\inΩ,\, t>0,\\ &&w_t = d_3 Δw-βw+f(u), &x\inΩ,\, t>0,\\ &&\frac{\partial u}{\partialν} = \frac{\partial v}{\partialν} = \frac{\partial …

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