<p style='text-indent:20px;'>In this paper we investigate the nonexistence of nonnegative solutions parabolic inequalities form</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{cases} &amp;u_t \pm L_\mathcal A u\geq (K\ast u^p)u^q \quad\mbox{ in } \mathbb R^N \times (0,\infty),\, N\geq 1,\\ &amp;u(x,...