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Stability and bifurcation analysis of an epidemic model with the effect of media
In the present study, we develop and analyze an SEIR epidemic model to assess the
consequences of media awareness program and treatment control. The disease …
consequences of media awareness program and treatment control. The disease …
Global stability for an HIV-1 infection model including an eclipse stage of infected cells
We consider the mathematical model for the viral dynamics of HIV-1 introduced in Rong et
al.(2007)[37]. One main feature of this model is that an eclipse stage for the infected cells is …
al.(2007)[37]. One main feature of this model is that an eclipse stage for the infected cells is …
On the backward bifurcation of a vaccination model with nonlinear incidence
A compartmental epidemic model, introduced by Gumel and Moghadas [1], is considered.
The model incorporates a nonlinear incidence rate and an imperfect preventive vaccine …
The model incorporates a nonlinear incidence rate and an imperfect preventive vaccine …
Complex dynamics of an SEIR epidemic model with saturated incidence rate and treatment
In this paper, we describe the dynamics of an SEIR epidemic model with saturated
incidence, treatment function, and optimal control. Rigorous mathematical results have been …
incidence, treatment function, and optimal control. Rigorous mathematical results have been …
[HTML][HTML] Modeling and analysis of tuberculosis and pneumonia co-infection dynamics with cost-effective strategies
Tuberculosis and Pneumonia are among the major airborne diseases that shares common
clinical traits with high human morbidity and mortality impacts. Thus, the co-infection of the …
clinical traits with high human morbidity and mortality impacts. Thus, the co-infection of the …
Qualitative analysis and optimal control of an epidemic model with vaccination and treatment
We focus on an epidemic model which incorporates a non-linear force of infection and two
controls: an imperfect preventive vaccine given to susceptible individuals and therapeutic …
controls: an imperfect preventive vaccine given to susceptible individuals and therapeutic …
Design of incentive programs for optimal medication adherence in the presence of observable consumption
Premature cessation of antibiotic therapy (nonadherence) is common in long treatment
regimens and can severely compromise health outcomes. In this work, we investigate the …
regimens and can severely compromise health outcomes. In this work, we investigate the …
Modeling malware propagation using a carrier compartment
The great majority of mathematical models proposed to simulate malware spreading are
based on systems of ordinary differential equations. These are compartmental models …
based on systems of ordinary differential equations. These are compartmental models …
[HTML][HTML] Curtailing the spread of drug-abuse and violence co-menace: An optimal control approach
This work presents an optimal control of intervention strategies for a drug abuse and
violence co-menace model considering a mass campaign against drug abuse, a mass …
violence co-menace model considering a mass campaign against drug abuse, a mass …
[HTML][HTML] Global behaviour of a tuberculosis model with difference in awareness and treatment adherence levels
The treatment adherence level of tuberculosis patients is critically related to their awareness
level about tuberculosis and anti-tuberculosis therapy. Tuberculosis is always spreading if …
level about tuberculosis and anti-tuberculosis therapy. Tuberculosis is always spreading if …