Global existence in a fully parabolic attraction-repulsion chemotaxis system with singular sensitivities and proliferation (Q6632958)

In this paper, the authors study the no-flux attraction-repulsion chemotaxis model with singular sensitivities and proliferation. It is shown that the corresponding initial-boundary value problem admits a classical solution which is global if \(\gamma>2\) or \(\gamma=2\) and \(\mu\) is sufficiently large. Moreover, assuming that \(h(s)\) satisfies the latter condition, the global existence of a weak solution is achieved.\N\NThese findings are undeniably novel and captivating. The paper is exceptionally well-structured and presents the derivation in a coherent manner, effectively building upon established concepts from the literature while appropriately citing pertinent references. Additionally, the research introduces substantial and non-trivial innovations.