Hongbin Guo | University of Ottawa | Université d'Ottawa (original) (raw)
Papers by Hongbin Guo
Mathematical biosciences and engineering : MBE, 2018
Hepatitis B virus (HBV) is responsible for an estimated 378 million infections worldwide and 620,... more Hepatitis B virus (HBV) is responsible for an estimated 378 million infections worldwide and 620, 000 deaths annually. Safe and effective vaccination programs have been available for decades, but coverage is limited due to economic and social factors. We investigate the effect of immigration and infection age on HBV transmission dynamics, incorporating age-dependent immigration flow and vertical transmission. The mathematical model can be used to describe HBV transmission in highly endemic regions with vertical transmission and migration of infected HBV individuals. Due to the effects of immigration, there is no disease-free equilibrium or reproduction number. We show that the unique endemic equilibrium exists only when immigration into the infective class is measurable. The smoothness and attractiveness of the solution semiflow are analyzed, and boundedness and uniform persistence are determined. Global stability of the unique endemic equilibrium is shown by a Lyapunov functional f...
Canadian Applied Mathematics Quarterly
A mathematical analysis is carried out for a tuberculosis (TB) model incorporating both latent an... more A mathematical analysis is carried out for a tuberculosis (TB) model incorporating both latent and clinical stages, immigration and treatment. With immigration into the latent classes, we show that the model always has a unique endemic equilibrium and it is globally asymptotically stable. The global stability of the endemic equilibrium is proved using a global Lyapunov function.
Applied Mathematics and Computation, 2018
This paper is concerned with the existence of entire solutions in a vector disease model with dif... more This paper is concerned with the existence of entire solutions in a vector disease model with diffusive and nonlocal delays. The entire solutions are meant by solutions defined for all t∈R. By considering the mixing of traveling wave solutions with heteroclinic orbits of spatially averaged ordinary differential equations, several new types of entire solutions are obtained.
SIAM Journal on Applied Mathematics, 2012
Proceedings of the American Mathematical Society, 2008
Mathematical Biosciences and Engineering, 2011
Spread of tuberculosis (TB) due to the immigration from some developing countries with high TB in... more Spread of tuberculosis (TB) due to the immigration from some developing countries with high TB incidence to developed countries poses an increasing challenge in the global TB control. Here a simple compartmental TB model with constant immigration, early and late latency is developed in order to investigate the impact of new immigrants with latent TB on the overall TB incidence, and to compare the difference contributed by different proportions of latently-infected new immigrants with high or low risk to develop active TB shortly after arrival. The global dynamics of the system is completely classified, numerical simulations are carried out for different scenarios, and potential applications to public health policy are discussed.
We aimed to assess the potential prevention benefits of HIV treatment as prevention (TasP) in res... more We aimed to assess the potential prevention benefits of HIV treatment as prevention (TasP) in resource-rich countries and examine the potential interactions between TasP and other prevention strategies by reviewing mathematical models of TasP. Multiple databases were searched for mathematical models published in the previous 5 years (from July 2007 to July 2012). The nine models located were set in Canada, Australia and the United States. These models' predictions suggested that the impact of expanding treatment rates on expected new infections could range widely, from no decrease to a decrease of 76%, depending on the time horizon, assumptions and the form of TasP modeled. Increased testing, reducing sexually transmitted infections and reducing risky practices were also predicted to be important strategies for decreasing expected new infections. Sensitivity analysis suggests that current uncertainties such as the effectiveness of highly active antiretroviral therapy outside of heterosexual transmission, less than ideal adherence, and risk compensation, could impact on the success of TasP at the population level. The results from large scale pilots and community randomized controlled trials will be useful in demonstrating how well this prevention approach works in real world settings, and in identifying the factors that are needed to support its effectiveness.
BMC Infectious Diseases, 2012
Influenza and Other Respiratory Viruses, 2010
Discrete and Continuous Dynamical Systems - Series B, 2012
Nonlinear Analysis: Real World Applications, 2011
Mathematical analysis is carried out for a mathematical model of Tuberculosis (TB) that incorpora... more Mathematical analysis is carried out for a mathematical model of Tuberculosis (TB) that incorporates both latent and clinical stages. Our analysis establishes that the global dynamics of the model are completely determined by a basic reproduction number R0. If R0 1, the TB always dies out. If R0 > 1, the TB becomes endemic, and a unique endemic equilibrium is
Modeling and Dynamics of Infectious Diseases, 2009
Mathematical Biosciences and Engineering, 2006
Journal of Biological Dynamics, 2008
Mathematical biosciences and engineering : MBE, 2018
Hepatitis B virus (HBV) is responsible for an estimated 378 million infections worldwide and 620,... more Hepatitis B virus (HBV) is responsible for an estimated 378 million infections worldwide and 620, 000 deaths annually. Safe and effective vaccination programs have been available for decades, but coverage is limited due to economic and social factors. We investigate the effect of immigration and infection age on HBV transmission dynamics, incorporating age-dependent immigration flow and vertical transmission. The mathematical model can be used to describe HBV transmission in highly endemic regions with vertical transmission and migration of infected HBV individuals. Due to the effects of immigration, there is no disease-free equilibrium or reproduction number. We show that the unique endemic equilibrium exists only when immigration into the infective class is measurable. The smoothness and attractiveness of the solution semiflow are analyzed, and boundedness and uniform persistence are determined. Global stability of the unique endemic equilibrium is shown by a Lyapunov functional f...
Canadian Applied Mathematics Quarterly
A mathematical analysis is carried out for a tuberculosis (TB) model incorporating both latent an... more A mathematical analysis is carried out for a tuberculosis (TB) model incorporating both latent and clinical stages, immigration and treatment. With immigration into the latent classes, we show that the model always has a unique endemic equilibrium and it is globally asymptotically stable. The global stability of the endemic equilibrium is proved using a global Lyapunov function.
Applied Mathematics and Computation, 2018
This paper is concerned with the existence of entire solutions in a vector disease model with dif... more This paper is concerned with the existence of entire solutions in a vector disease model with diffusive and nonlocal delays. The entire solutions are meant by solutions defined for all t∈R. By considering the mixing of traveling wave solutions with heteroclinic orbits of spatially averaged ordinary differential equations, several new types of entire solutions are obtained.
SIAM Journal on Applied Mathematics, 2012
Proceedings of the American Mathematical Society, 2008
Mathematical Biosciences and Engineering, 2011
Spread of tuberculosis (TB) due to the immigration from some developing countries with high TB in... more Spread of tuberculosis (TB) due to the immigration from some developing countries with high TB incidence to developed countries poses an increasing challenge in the global TB control. Here a simple compartmental TB model with constant immigration, early and late latency is developed in order to investigate the impact of new immigrants with latent TB on the overall TB incidence, and to compare the difference contributed by different proportions of latently-infected new immigrants with high or low risk to develop active TB shortly after arrival. The global dynamics of the system is completely classified, numerical simulations are carried out for different scenarios, and potential applications to public health policy are discussed.
We aimed to assess the potential prevention benefits of HIV treatment as prevention (TasP) in res... more We aimed to assess the potential prevention benefits of HIV treatment as prevention (TasP) in resource-rich countries and examine the potential interactions between TasP and other prevention strategies by reviewing mathematical models of TasP. Multiple databases were searched for mathematical models published in the previous 5 years (from July 2007 to July 2012). The nine models located were set in Canada, Australia and the United States. These models' predictions suggested that the impact of expanding treatment rates on expected new infections could range widely, from no decrease to a decrease of 76%, depending on the time horizon, assumptions and the form of TasP modeled. Increased testing, reducing sexually transmitted infections and reducing risky practices were also predicted to be important strategies for decreasing expected new infections. Sensitivity analysis suggests that current uncertainties such as the effectiveness of highly active antiretroviral therapy outside of heterosexual transmission, less than ideal adherence, and risk compensation, could impact on the success of TasP at the population level. The results from large scale pilots and community randomized controlled trials will be useful in demonstrating how well this prevention approach works in real world settings, and in identifying the factors that are needed to support its effectiveness.
BMC Infectious Diseases, 2012
Influenza and Other Respiratory Viruses, 2010
Discrete and Continuous Dynamical Systems - Series B, 2012
Nonlinear Analysis: Real World Applications, 2011
Mathematical analysis is carried out for a mathematical model of Tuberculosis (TB) that incorpora... more Mathematical analysis is carried out for a mathematical model of Tuberculosis (TB) that incorporates both latent and clinical stages. Our analysis establishes that the global dynamics of the model are completely determined by a basic reproduction number R0. If R0 1, the TB always dies out. If R0 > 1, the TB becomes endemic, and a unique endemic equilibrium is
Modeling and Dynamics of Infectious Diseases, 2009
Mathematical Biosciences and Engineering, 2006
Journal of Biological Dynamics, 2008