We use a model to study the dynamics of malaria in the human and mosquito population to explain the stability patterns of malaria. The model results show that the disease-free equilibrium is globally asymptotically stable and occurs whenever the basic reproduction number, R0 is less than unity. We also note that when R0 . 1, the disease-free equilibrium is unstable and the endemic equilibrium i...

Drug abuse is one of the global issues and has spread among teenagers. Drugs may lead to subordination, health problems even death. There are several policies made in each country related problem drug abuse, both punishment treatment. In this paper, we discuss treatment strategy reduce number users. users can recover themselves by undergoing rehabilitation form inpatient or outpatient care. We ...

Background HIV/AIDS prevalence in Cuba has remained consistently the lowest in the Caribbean region. The Cuban HIV/AIDS program features a detection system which has experienced many changes over the years, including the gradual discontinuation of sanatorial system in the 1990’s and increased detections through the family doctors after 2000. Methodology/Major Findings A nonlinear compartmental ...

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...

Two common means of controlling infectious diseases are screening and contact tracing. Which should be used, and when? We consider the problem of determining the cheapest mix of screening and contact tracing necessary to achieve a desired endemic prevalence of a disease or to identify a specified number of cases. We perform a partial equilibrium analysis of small-scale interventions, assuming t...

In order to analyze the effect of vaccination in a population with presence viruses, variation SIR (Susceptible-Infected-Removed) model is proposed taking into account social distancing and vaccine. The equilibrium points are calculated stability analysis system carried out. For model, disease-free point endemic found conditions existence discussed. bifurcation derived simulations show that red...

This study proposes a modified human immunodeficiency virus (HIV) infection differential equation model with a saturated infection rate. This model has an infection-free equilibrium point and an endemic infection equilibrium point. Using Lyapunov functions and LaSalle's invariance principle shows that if the model's basic reproductive number R0 < 1, the infection-free equilibrium point is globa...

In this paper, we study a kind of the delayed SEIQR infectious disease model with the quarantine and latent, and get the threshold value which determines the global dynamics and the outcome of the disease. The model has a disease-free equilibrium which is unstable when the basic reproduction number is greater than unity. At the same time, it has a unique endemic equilibrium when the basic repro...

In this paper we consider the impact of the form of the non-linearity of the infectious disease incidence rate on the dynamics of epidemiological models. We consider a very general form of the non-linear incidence rate (in fact, we assumed that the incidence rate is given by an arbitrary function f (S, I, N) constrained by a few biologically feasible conditions) and a variety of epidemiological...

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...