The paper presents the vector-host disease with a variability in population. We assume, the disease is fatal and for some cases the infected individuals become susceptible. We first show the local and global stability of the disease-free equilibrium, for the case when R 0 < 1. We also show that for R 0 < 1, the disease free-equilibrium of the model is both locally as well as globally stable. 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...

Brucellosis is an infectious bacterial zoonosis of public health and economic significance. In this paper, a mathematical model describing the propagation of bovine brucellosis within cattle population is formulated. Model analysis is carried out to obtain and establish the stability of the equilibrium points. A threshold parameter referred to as the basic reproduction number $mathcal{R}_{0}$ i...

We propose and analyze a water born disease model introducing water-to-person and person-toperson transmission and saturated incidence. The disease-free equilibrium and the existence criterion of endemic equilibrium are investigated. Trans critical bifurcation at the disease-free equilibrium is obtained when the basic reproductive number is one. The local stability of both the equilibria is sho...

we study the equilibrium states for an energy functional with a parametric force field on a region of a surface. consideration of free equilibrium states is based on lyusternik - schnirelman's and skrypnik's variational methods. consideration of equilibrium states under a constraint of geometrical character is based on an analog of skrypnik's method, described in cite{vyr3}. in local coordinate...

We consider the global dynamics of a virus propagation model in which infective cells pass through several successive stages, assuming that the incidence of infection and the removal rate of the virus are nonlinear functions given in an abstract, unspecified form. Suitable Lyapunov functionals are constructed to establish the existence of a threshold parameter, the basic reproduction number R0 ...

Covid-19 is a deadly infectious disease that occurs throughout the world. Therefore, it necessary to prevent transmission of such as vaccination. The purpose this research modify model spread from previous model. equilibrium points and basic reproduction number ( ) modified determined. Then stability analysis was carried out numerical simulation see dynamics population occurred. performed on ob...

Abstract: An epidemic model with awareness campaign driven by media on the prevalence of infectious diseases is studied considering delay. The aim is to investigate the effect of awareness campaign and delay in disease control. Time delay factor is considered because susceptible individual takes some time to become aware of the disease and take the necessary control methods. The system exhibits...

Covid-19 is a very extraordinary case not only in one country but all countries the world. The number of deaths caused by large and rate spread this disease high fast. In paper, we perform an analysis covid-19 epidemic model. This model development SEIR general which equipped with Quarantine (Q), Fatality (F) compartment, there separation between detected undetected infected people (I). Our sho...

Cholera is an infection of the small intestine caused by the bacterium Vibrio cholera. In this work, we consider a mathematical model SIRB which represents the dynamics of cholera. To understand the dynamics of the model, the disease free and endemic stability are discussed. The disease free equilibrium is stable locally as well as globally when the basic reproduction less than 1, otherwise an ...