In this paper, a mathematical model of Visceral Leishmaniasis is considered. The incorporates three populations, the human, reservoir and vector host populations. A detailed analysis presented. This reveals that undergoes backward bifurcation when associated reproduction threshold less than unity. For case where death rate due to VL negligible, disease-free equilibrium shown be globally-asympto...

The representation of indiscernibility phenomena by π-equivalences and of accessibility phenomena by σ-equivalences enables a graph-theoretical formulation of topological notions in the alternative set theory. Generalizing the notion of Hamiltonian graph we will introduce the notion of Hamiltonian embedding and prove that for any finite graph without isolated vertices there is a Hamiltonian emb...

In light of escalating job insecurity due to increasing numbers of nonstandard workers, this study examined the association between nonstandard employment and mental health among South Korean workers. We analyzed a representative weighted sample of 2086 men and 1194 women aged 20-64 years, using data from the 1998 Korean National Health and Nutrition Examination Survey. Nonstandard employment i...

In this paper we give an introduction to nonstandard analysis, starting with an ultrapower construction of the hyperreals. We then demonstrate how theorems in standard analysis “transfer over” to nonstandard analysis, and how theorems in standard analysis can be proven using theorems in nonstandard analysis.