Mathematical Model of Drinking Epidemic

Mathematical Analysis Of A Tuberculosis Epidemic Model

In this paper, we analyze a mathematical model of tuberculosis (TB) epidemics for stability with respect to the basic reproduction number Ro. The basic reproduction number Ro is determined. We give criteria for stability of the disease – free equilibrium (DFE) and the endemic equilibrium

Mathematical modeling of optimized SIRS epidemic model and some dynamical behavior of the solution

In this paper, a generalized mathematical model of spread of infectious disease as SIRS epidemic model is considered as a nonlinear system of differential equation. We prove that for positive initial conditions the resulting equivalence system has positive solution and under some hypothesis, this system with initial positive condition, has a positive $T$-periodic solution which is globally asym...

An Epidemic of Zombie Infection : a Mathematical Model

A mathematical approach to epidemic control.

A mathematical model of an influenza epidemic which occurred in 1961 is suggested. The mathematics imply conclusions on the practical control of similar outbreaks. This is a technique applicable to one general practice.

ON THE STABILITY AND THRESHOLD ANALYSIS OF AN EPIDEMIC MODEL

We consider a mathematical model of epidemic spread  in which the  population  is partitioned  into five compartments of susceptible S(t), Infected I(t), Removed R(t), Prevented U(t) and the Controlled W(t). We assume each of the compartments comprises of cohorts of individuals which are  identical with respect to the disease status. We derive five systems of equations to represent each of the ...