The food chain refers to a natural system by which energy is transmitted from one organism to another. In fact, a food chain consists of producers, consumers and decomposition. Presence of complex food web increase the stability of the ecosystem. Classical food chain theory arises from Lotka-Volterra model. In the present paper, the dynamics behavior of three level food chain is studied. A syst...

Photocatalytic oxidation of sodium salt of 2,6-dichloroindophenol (DCIP) in titanium dioxide aqueous suspension has been studied. DCIP is photocatalytically oxidized on the active Ti02 surface by the medium pres­ sure Hg lamp with pyrex sleeve radiation (A>280nm). The apparent integral quantum yield of the DCIP decomposition was determined. Photocatalytic decomposition of DCIP in aqueous suspen...

In [1], Beylkin et al. introduced a wavelet-based algorithm that approximates integral or matrix operators of a certain type by highly sparse matrices, as the basis for efficient approximate calculations. The wavelets best suited for achieving the highest possible compression with this algorithm are Daubechies wavelets, while Coiflets lead to a faster decomposition algorithm at slightly lesser ...

We prove that if R is a domain with many units, then the natural inclusion E 2 (R) ! E 2 (Rt]) induces an isomorphism in integral homology. This is a consequence of the existence of an amalgamated free product decomposition of E 2 (Rt]). We also use this decomposition to study the homology of E 2 (Zt]) and show that a great deal of the homology of E 2 (Zt]) maps nontrivially into the homology o...

Decomposition method was first introduced by Adomian since the beginning of the 1980’s for solving wide range of problems whose mathematical models yield equation or system of equation involving algebraic, differential, integral and integro-diffrential [1, 2, 3]. This iterative method has been proven to be rather successful in dealing with linear problems as well as nonlinear. Adomian gives the...

The "differential" method of Achar, Brindley and Sharp (ABS) and the "integral" one of Coats and Redfern (CR) are applied to the dehydration of BaBr2-H20 and HCOOLiH20 and to the thermal decomposition of Pb(SCN)2, and the kinetic parameters so obtained are compared with those deduced isothermally. The results of the ABS method, at the lowest heating rate (q = 1.2 K min— '), agree well with the ...

Let P ⊂ R and Q ⊂ R be integral convex polytopes of dimension d and e which contain the origin of R and R, respectively. In the present paper, under some assumptions, the necessary and sufficient condition for the free sum of P and Q to possess the integer decomposition property will be presented. Introduction A convex polytope is called integral if any of its vertices has integer coordinates. ...