A mathematical model of a within-host viral infection is presented. A local stability analysis of the model is conducted in two ways. At first, the basic reproduction number of the system is calculated. It is shown that when the reproduction number falls below unity, the disease free equilibrium (DFE) is globally asymptotically stable, and when it exceeds unity, the DFE is unstable and there ex...

In this paper, we propose and analyze a mathematical model describing the effect of awareness programs by public media on the prevalence of Typhoid fever. A threshold quantity $R_{0}$, similar to the basic reproduction number is derived. We investigate the biologically meaningful equilibrium points and their local stability analysis. The global stability analysis has been performed with respect...

When an infectious disease strikes a population, the number of newly reported cases is often the only available information that one can obtain during early stages of the outbreak. An important goal of early outbreak analysis is to obtain a reliable estimate for the basic reproduction number, R0, from the limited information available. We present a novel method that enables us to make a reliabl...

reproduction parameters for helicoverpa armigera (hübner) were determined and compared on 13 soybean varieties (dpx, l17, bp, clark, jk, 356, m4, m7, m9, gorgan3, sahar, zane and williams) at 25±1ºc, 65±5% rh over a photoperiod of 16:8 (l:d) hours. reproduction parameters were estimated for individual newly emerged moths, which had spent their immature stages on different soybean varieties. the...

This study was undertaken to estimate the genetic parameters for some reproduction traits in Sistani beef cattle. The data set consisted of 1489 records of number of insemination, calving, and insemination dates in different calving was used. Reproduction traits including calving interval (CI), gestation length (GL), days open (DO), calving to first service (CTFS), first service to conception (...