We study the relationship between the Frobenius stability of an Artinian module over an F-injective ring and its stable part.

Leptospirosis is recognized as an important zoonosis in tropical regions well as an important animal disease with substantial loss in production. In this study, the model for the transmission of the Leptospirosis disease to human population are discussed. Model is described the vector population dynamics and the Leptospirosis transmission to the human population are discussed. Local analysis of...

We consider the extent to which one can compute bounds on the rate of convergence of a sequence of ergodic averages. It is not difficult to construct an example of a computable Lebesgue-measure preserving transformation of [0, 1] and a characteristic function f = χA such that the ergodic averages Anf do not converge to a computable element of L ([0, 1]). In particular, there is no computable bo...

Spatial patterns in (local) government taxation and spending decisions have received a lot of scholarly attention recently. Still, the focus on taxation or expenditure levels in previous studies is incomplete. In fact, (rational) individuals are likely to consider the level of spending on (or taxation for) public goods provision simultaneously with how much public goods they actually receive – ...

In the vibration analysis of high speed trains arises such a palindromic quadratic eigenvalue problem (PQEP) (λ2AT + λQ + A)z = 0, where A, Q ∈ Cn×n have special structures: both Q and A are m ×m block matrices with each block being k × k (thus n = m × k), and Q is complex symmetric and tridiagonal block-Toeplitz, and A has only one nonzero block in the (1,m)th block position which is the same ...

The imine linkages of two layered, porous covalent organic frameworks (COFs), TPB-TP-COF ([C6H3(C6H4N)3]2[C6H4(CH)2]3, 1) and 4PE-1P-COF ([C2(C6H4N)4][C6H4(CH)2]2, 2), have been transformed into amide linkages to make the respective isostructural amide COFs 1' and 2' by direct oxidation with retention of crystallinity and permanent porosity. Remarkably, the oxidation of both imine COFs is compl...

In this paper, we studied and formulated the relapsed SIR model of a constant size population with standard incidence rate. Also, the optimal control problem with treatment and vaccination as controls, subject to the model is formulated. The analysis carried out on the model, clearly showed that the infection free steady state is globally asymptotically stable if the bas...

Let .1; (x ,y) be a real analytic t-parameter family of real analytic functions defined in a neighborhood of the origin in JH.2 . Suppose that J;(x, .1') admits a blow analytic trivilaization along the parameter 1 (see the definition in § I of this paper). Under this condition, we prove that there is a real analytic t-parameter family ar(x, y) with ao(x, .1') = (x, y) and ar(O, 0) = (0, 0) of l...