In this paper we study an epidemic model with nonmonotonic incidence rate, which describes the psychological effect of certain serious diseases on the community when the number of infectives is getting larger. By carrying out a global analysis of the model and studying the stability of the disease-free equilibrium and the endemic equilibrium, we show that either the number of infective individu...

We analyze the impact of public health policy on spread a disease using version SIR model that includes vital statistics, waning immunity, and vaccination. This is rich enough to accommodate endemic steady states disease-free states. choose social distancing vaccines maximize an objective function penalizes lost output resulting from distancing, deaths disease, cost Surprisingly, even though eq...

Abstract HIV/AIDS is a fatal illness that weakens the immune system of body, making victim susceptible to several opportunistic infections. The analysis and numerical simulation proposed epidemic model with vertical transmission was carried out. disease free endemic equilibrium were obtained basic reproduction number established. Numerical simulations using homotropy perturbation method employe...

This paper describes and analyzes the spatial spread of tuberculosis (TB) on complex metapopulation, that is, networks of populations connected by migratory flows whose configurations are described in terms of connectivity distribution of nodes (patches) and the conditional probabilities of connections among classes of nodes sharing the same degree. The migration and transmission processes occu...

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 [P. Vyridis, {it Bifurcation in...

In this work, a vaccination model for Chlamydia trachomatis with cost-effectiveness optimal control analysis is developed and analyzed. The disease free equilibrium of shown to be locally asymptotically stable when the reproduction number less than unity. disease-free was proven not globally stable. also undergo phenomenon backward bifurcation associated necessary conditions existence optimalit...

A mathematical model for the marine bacteriophage infection is proposed and its essential mathematical features are analyzed. Since bacteriophage infection induces bacterial lysis which releases into the marine environment, on the average, 'b' viruses per cell, the parameter b epsilon (1, t infinity) or 'virus replication factor' is chosen as the main parameter on which the dynamics of the infe...

In this paper, we derive and analyze a compartmental model for the control of arboviral diseases which takes into account an imperfect vaccine combined with individual protection and some vector control strategies already studied in the literature. After the formulation of the model, a qualitative study based on stability analysis and bifurcation theory reveals that the phenomenon of backward b...

The presence of carriers usually complicates the dynamics and prevention of a disease. They are not recognized as disease cases themselves unless they are screened and they usually spread the infection without them being aware. We argue that this has been one of the major causes of the spread of human immunodeficiency virus (HIV). We propose, in this paper, a model for the heterogeneous transmi...