Stability Analysis for Hiv-1 Infection Dynamics Using the Matrix Lambert W Function
نویسنده
چکیده
In this paper we investigate the stability of the HIV-1 infection dynamical problem. An approach using the matrix Lambert W function for the analytical solution to system of delay differential equations is applied to this problem and compared with the result obtained using a bifurcation analysis. Mathematical Subject Classication (2010): 92B05, 92B99, 34D20, 34C23.
منابع مشابه
Stability and Numerical Analysis of Malaria- mTB- HIV/AIDS Co-infection (TECHNICAL NOTE)
In this paper, we develop a mathematical model to examine the transmission dynamics of curable malaria, curable mTB and non-curable HIV/AIDS and their co-infection. The size of population has been taken as varying due to the emigration of susceptible population. The total population is divided into five subclasses as susceptible, malaria infected, mTB infected, HIV infection and AIDS by assumin...
متن کاملStability Analysis of a Fractional Order Model of HIV virus and AIDS Infection in the Community
In this paper a non-linear model with fractional order is presented for analyzing and controlling the spread of HIV virus. Both the disease-free equilibrium and the endemic equilibrium are found and their stability is discussed. The basic reproduction number , which is a function of the constant parameters in the model, plays an essential role in the stability of the ...
متن کاملON 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 ...
متن کاملDelay differential equations via the matrix Lambert W function and bifurcation analysis: application to machine tool chatter.
In a turning process modeled using delay differential equations (DDEs), we investigate the stability of the regenerative machine tool chatter problem. An approach using the matrix Lambert W function for the analytical solution to systems of delay differential equations is applied to this problem and compared with the result obtained using a bifurcation analysis. The Lambert W function, known to...
متن کاملA nonstandard finite difference scheme for solving fractional-order model of HIV-1 infection of CD4^{+} t-cells
In this paper, we introduce fractional-order into a model of HIV-1 infection of CD4^+ T--cells. We study the effect of the changing the average number of viral particles $N$ with different sets of initial conditions on the dynamics of the presented model. The nonstandard finite difference (NSFD) scheme is implemented to study the dynamic behaviors in the fractional--order HIV-1 ...
متن کامل