Volume 3 (2019)

OMS-Vol. 3 (2019), Issue 1, pp. 29–39 Open Access Full-Text PDF

Abstract:We present a compartmental mathematical model of (SITR) to investigate the effect of saturation treatment in the dynamical spread of diarrhea in the community. The mathematical analysis shows that the disease free and the endemic equilibrium points of the model exist. The disease-free equilibrium is locally and globally asymptotically stable when \(R_{0}<1\) and unstable otherwise \(R_{0}>1\). Numerical simulation results, show the effect of saturation treatment function on the spread of diarrhea. Efficacy of treatment shows a great impact in the total eradication of diarrhea epidemic.

OMS-Vol. 3 (2019), Issue 1, pp. 11–28 Open Access Full-Text PDF

Abstract:In this paper, we find the general solution of a Septoicosic functional equation (11) for all \(x, y \in X\) and investigate its general Hyers-Ulam stability in Banach Space using direct and fixed point methods.

OMS-Vol. 3 (2019), Issue 1, pp. 07–10 Open Access Full-Text PDF

Abstract:In this paper, we study Katugampola fractional differential equations (FDEs) with nonlocal conditions on time scales. By means of standard fixed point theorems, some new sufficient conditions for the existence of solutions are established.

OMS-Vol. 3 (2019), Issue 1, pp. 01–06 Open Access Full-Text PDF

Abstract:The objective of this paper is to study new type of continuous functions called totally \(\alpha\)gs-continuous functions using $\alpha$gs-open sets. Furthermore we discuss covering properties and obtain their characterizations by including counter examples.