This paper investigates the effects of financial market globalization on the inequality of nations. The world economy consists of inherently identical countries, which could differ only in their levels of capital stock. Each country is represented by the standard overlapping generations model, modified only to incorporate credit market imperfection. An integration of financial markets affects t...

In this paper we study the dynamics of Hepatitis B virus (HBV) infection under administration of a vaccine and treatment, where the disease is transmitted directly from the parents to the offspring  and also through contact with infective individuals. Stability of the disease-free steady state is investigated. The basic reproductive rate, $R_0$, is derived. The results show that the dynamics of...

A model of viral infection of monocytes population by dengue virus is formulated in a system of four ordinary differential equations. The model takes into account the immune response and the incidence rate of susceptible and free virus particle as Beddington-DeAngelis functional response. By constructing a block, the global stability of the uninfected steady state is investigated. This steady s...

This paper describes Pareto optimal allocations when agents have risk-sensitive preferences as formulated by Hansen and Sargent (1995). Necessary and sufficient conditions are given for the existence of a steady state at which Pareto weights are time-invariant. Sufficient conditions are given for steady states to be stable or unstable. When all agents are risk-sensitive with power reward functi...

Most pathogenic diseases remain epidemic and endemic in the world, causing thousands of deaths annually in less developed countries. Yet, their dynamics are still not fully understood. In this paper, we carry out a thorough stability and sensitivity analysis of an iSIR which incorporates an infection term that explicitly includes a minimum infection dose (MID), and determine an invariant domain...

this paper deals with evaluating the thermal behavior of exterior walls in dwellings of a particular place. today, there is a huge increase in constructing multi-storey apartment buildings and single-family houses in the city of yazd, a city with hot dry climate and a rich historical architecture in iran. unfortunately, the new methods that are used nowadays to make the envelopes of these dwell...

We show that the thermodynamic limit of a bistable phosphorylation-dephosphorylation cycle has a selection rule for the "more stable" macroscopic steady state. The analysis is akin to the Maxwell construction. Based on the chemical master equation approach, it is shown that, except at a critical point, bistability disappears in the stochastic model when fluctuation is sufficiently low but unneg...

The reaction-diffusion system modeling the dorsal-ventral patterning during the zebrafish embryo development, developed in [Y.-T. Zhang, A.D. Lander, Q. Nie, Journal of Theoretical Biology, 248 (2007), 579–589] has multiple steady state solutions. In this paper, we describe the computation of seven steady state solutions found by discretizing the boundary value problem using a finite difference...