Uniform global asymptotic stability of time-varying Lotka-Volterra predator-prey systems

The model to be dealt in this paper is
N′ = (a + ch(t) − dh(t)N − bP)N,
P′ = (− c + dN)P.
Here, h is a nonnegative and locally integrable function. This model is a predator-prey system of LotkaVolterra type with variable coefficients and it has a single interior equilibrium (c/d, a/b). Sufficient conditions are given for the interior equilibrium to be uniformly globally asymptotically stable. One of them is described by using a certain uniform divergence condition on h. Our result is p