The possibility of relapse is introduced into a mathematical model for the transmission of Plasmodium vivax malaria. In the model, the human population is divided into four classes: susceptible, infected, dormant and recovered. Loss of immunity by individuals in the recovered class moves these individuals back into the susceptible class. Two equilibrium states are found, a disease-free state an...

This article concerns the rigorous global analysis of a class of models introduced by Nowak and Bangham that describes in a fairly successful way the initial phases of the HIV dynamics in the human body as well as some generalizations that take into account mutation. We show that the biologically meaningful positive solutions to such models are all bounded and do not display periodic orbits. Fo...

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...

Timely prediction of the COVID-19 progression is not possible without a comprehensive understanding environmental factors that may affect infection transmissibility. Studies addressing parameters influence relied on either total numbers detected cases and similar proxies and/or small number analyzed factors, including analysis regions display narrow range these parameters. We here apply novel a...