two year field experiment was carried out on two early maturing varieties of soybean (glycine max (l.) men.) bred in russia. the purpose was to investigate the possibility of production and to study the effects of nitrogen supply on soybean seed yield and yield components. a range of zero to 100 kg n ha in 1995 when plants suffered from water deficiency and zero to 100 kg n ha -1 in 1996 when p...

We consider stochastically modeled chemical reaction systems with mass-action kinetics and prove that a product-form stationary distribution exists for each closed, irreducible subset of the state space if an analogous deterministically modeled system with mass-action kinetics admits a complex balanced equilibrium. Feinberg's deficiency zero theorem then implies that such a distribution exists ...

In this paper, the study of the class of biochemical systems known as zero deficiency networks is extended to the case of time-varying kinetic parameters. We show that the resulting class of nonlinear systems with inputs satisfies a notion of input-to-state stability uniformly over a set of parameters. In particular, the input-to-state stability estimates allow us to characterize the robustness...

Thyme is a valuable plant used in medicine, perfumery and food industry. Mineral deficiencies often limit the growth of plants. Nitrogen deficiency in agricultural soils is a problem throughout the world. The present study evaluated effects of applying Fe and Zn in absorption of some important nutrients of Thymus vulgaris...

The detour order (of a vertex v) of a graph G is the order of a longest path (beginning at v). The detour sequence of G is a sequence consisting of the detour orders of its vertices. A graph is called a detour graph if its detour sequence is constant. The detour deficiency of a graph G is the difference between the order of G and its detour order. Homogeneously traceable graphs are therefore de...

The dynamics of complex isothermal reactors arc studied in general terms with special focus on connections between reaction network structure and the capacity of the corresponding differential equations to admit unstable behavior. As in some earlier work, the principal results rely on a classification of reaction networks by means of an easily computed non-negative integer index called the defi...