Predator-prey systems have been studied extensively. See, for instance, [1, 6, 8–10] and the references cited therein. Most of the previous papers focused on the predator-prey systems without stocking. Brauer and Soudack [2, 3] studied some predator-prey systems under constant rate stocking. To our knowledge, few papers have been published on the existence of positive periodic solutions for del...

The effect of stocking rate on forage growth has attracted much research attention in forage science. Findings show that forage growth may be affected by stocking rate, and there is a consensus that high stocking rates lead to soil compaction, which could also in turn affect forage growth because of the changing soil hydrology and increased soil impedance to forage root penetration. In this stu...

A grazing trial compared the effect of stocking rate on corn residue removal and nutrient quality over a 55 d period. Treatments included no removal (control), light grazing (2.5 animal unit months/ha), heavy grazing (4.9 animal unit months/ha), and baling (bale), that were applied to eight 6.6 ha paddocks (2 replications) on a 53 ha center pivot irrigated field of corn residue from mid-Decembe...

Rangelands are the most important ecosystem for carbon sequestration. Knowledge of plant response to grazing is one of important requirements for rangeland management. Stocking rate is one of main factors in destruction of the vegetation cover in rangeland ecosystems. Livestock grazing has the potential to substantially alter carbon storage in grassland ecosystem. This study examined the effect...

A long standing question in range management concerns the relative importance of the stocking rate versus the length of time during which animals graze a particular rangeland. We address this question by analyzing the problem faced by a private rancher who wishes to minimize the long run expected net unit cost from range operations by choosing either the stocking rate or the length of time duri...

In order to estimate responses of growth rate and growth hormone of Clarias gariepinus to stocking density, fish (initial weight 30.71 ± 0.89 g) were stocked in 120-L tanks at densities of 35, 65, 95, and 125 kg/m3 for 60 days. On day 30 and 60, the fish growth rates were measured, pituitary growth hormone (GH) mRNA levels and serum GH concentrations were examined by real-time qPCR and ELISA te...

An 84-d grazing experiment was conducted in 2 growing seasons to evaluate interactions of stocking rate and steroidal implants with BW gain and symptoms of toxicosis in yearling steers grazing endemic endophyte-infected (E+) tall fescue (Festuca arundinacea Schreb.). A 4 x 2 factoral design was used to evaluate 4 stocking rates (3.0, 4.0, 5.0, and 6.0 steers/ ha) with or without steroidal impla...