\(\frac 32\)-global attractivity of the zero solution of the ``food-limited'' type functional differential equation (Q1609672)

The authors obtain a 3/2-condition for the global attractivity to occur in the ``food-limited''-type functional-differential equation \[ x'(t)+ [1+ x(t)][1- cx(t)] F(t,x(\cdot))= 0,\quad t\geq 0.\tag{1} \] In section 1, they establish some interesting algebraic inequalities which can be useful not only for this paper. The main global attractivity result is in section 2. At last in section 3, they apply it to some concrete forms of equation (1). They show that their results are better than the known results in literature.