Global analysis of a cocirculating target cells HIV model with differential drug efficacy and nonlinear incidence rate [PDF]
, 2016 The main purpose of this work is to investigate the qualitative behavior of an HIV dynamics model with two types of cocirculating target cells. The model takes into account both short-lived and long lived chronically infected cells.
A. Elaiw, N. Almuallem
semanticscholar +2 more sources
Stability of humoral immunity virus infection model with general incidence rate and distributed delays [PDF]
, 2016 In this paper, we investigate the global stability of a virus infection model with humoral immune response and distributed intracellular delays. The incidence rate of infection is given by general functional response.
A. Elaiw, A. Alhejelan, A. Shehata
semanticscholar +2 more sources
Nonautonomous Dynamical Systems, 2021 In this paper, we formulate a temperature-dependent model for malaria transmission dynamics which includes immature stages of mosquitoes. The model is constructed by using ordinary differential equations with some parameters which are periodic functions.
Traoré Bakary +3 more
doaj +1 more source
Bifurcation analysis of HIV infection model with cell-to-cell transmission and non-cytolytic cure
Computational and Mathematical Biophysics, 2023 A mathematical model is proposed and discussed to study the effect of cell-to-cell transmission, the non-cytolytic process, and the effect of logistic growth on the dynamics of HIV in vivo.
Prakash Surya +2 more
doaj +1 more source
A delayed SIR epidemic model with a general incidence rate [PDF]
, 2013 A delayed SIR epidemic model with a generalized incidence rate is studied. The time delay represents the incubation period. The threshold parameter, $R_0(\tau)$ is obtained which determines whether the disease is extinct or not.
Hattaf, Khalid +3 more
core +5 more sources
An SEIR model with modified saturated incidence rate and Holling type II treatment function
Computational and Mathematical Biophysics, 2023 In this article, the behavior of an susceptible exposed infected recovered (SEIR) epidemic model with nonlinear incidence rate and Holling type II treatment function is presented and analyzed. Reproduction number of the model is calculated.
Umdekar Shilpa +2 more
doaj +1 more source
Lyapunov Functions for Tuberculosis Models with Fast and Slow Progression [PDF]
, 2006 The spread of tuberculosis is studied through two models which include fast and slow progression to the infected class. For each model, Lyapunov functions are used to show that when the basic reproduction number is less than or equal to one, the disease ...
McCluskey, C. Connell
core +2 more sources
Mathematical analysis of a MERS-Cov coronavirus model
Demonstratio Mathematica, 2022 In this study, we have proposed a mathematical model to describe the dynamics of the spread of Middle East Respiratory Syndrome disease. The model consists of six-coupled ordinary differential equations.
DarAssi Mahmoud H. +2 more
doaj +1 more source
Metapopulation Dynamics with Migration and Local Competition [PDF]
, 2002 MSC2000: primary 34D15, 34D23, 92B05; secondary 34K60, 34E13, 92D40.Many patch-based metapopulation models assume that the local population within each patch is at its equilibrium and independent of changes in patch occupancy.
Feng, Zhilan, Yi, Yingfei, Zhu, Huaiping
core +2 more sources
Stability of a secondary dengue viral infection model with multi-target cells
Alexandria Engineering Journal, 2022 Dengue is one of the vector-borne diseases spread in most parts of the world. The number of infected individuals is increased each year. This paper proposes a mathematical model describing the secondary dengue viral infection in micro-environment.
M.A. Alshaikh +2 more
doaj +1 more source