On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS)

No abstract is available for this paper.

• Publication year

  1989

• Venue

  Journal of Mathematical Biology

• Publication date

  1989-08-01

• Fields of study

  Biology, Mathematics, Medicine, Psychology

• Identifiers
  DOI 10.1007/BF00290636PMID 2769085
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• On the role of long incubation periods in the dynamics of Acquired Immunodeficiency Syndrome (AIDS). Part 2: multiple group models

  1990cited by this paper
• Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus

  1989cited by this paper
• The Role of Long Periods of Infectiousness in the Dynamics of Acquired Immunodeficiency Syndrome (AIDS)

  1989cited by this paper
• Using mathematical models to understand the AIDS epidemic

  1988cited by this paper
• The epidemiology of HIV infection: variable incubation plus infectious periods and heterogeneity in sexual activity

  1988cited by this paper
• Epidemiological models for sexually transmitted diseases

  1988cited by this paper
• Distributed incubation and infectious periods in models of the transmission dynamics of the human immunodeficiency virus (HIV).

  1988cited by this paper
• The AIDS virus.

  1987cited by this paper
• Epidemiological models for heterogeneous populations: proportionate mixing, parameter estimation, and immunization programs

  1987cited by this paper
• Incubation period of AIDS in patients infected via blood transfusion

  1987cited by this paper
• Risk factors for seroconversion to human immunodeficiency virus among male homosexuals. Results from the Multicenter AIDS Cohort Study.

  1987cited by this paper
• Transmission dynamics of HIV infection

  1987cited by this paper
• The first human retrovirus.

  1986cited by this paper
• Modeling the incidence of Acquired Immunodeficiency Syndrome (AIDS) in San Francisco, Los Angeles, and New York

  1986cited by this paper
• Persistent HIV antigenaemia and decline of HIV core antibodies associated with transition to AIDS.

  1986cited by this paper
• A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS.

  1986cited by this paper
• Human T-lymphotropic retroviruses

  1985cited by this paper
• Infection of chimpanzees with lymphadenopathy-associated virus.

  1984cited by this paper
• HTLV-III in symptom-free seronegative persons.

  1984cited by this paper
• Frequent detection and isolation of cytopathic retroviruses (HTLV-III) from patients with AIDS and at risk for AIDS.

  1984cited by this paper
• INFECTION OF CHIMPANZEES WITH LYMPHADENOPATHY-ASSOCIATED VIRUS

  1984cited by this paper
• Isolation of a T-lymphotropic retrovirus from a patient at risk for acquired immune deficiency syndrome (AIDS).

  1983cited by this paper
• NONLINEAR OSCILLATIONS IN EPIDEMIC MODELS

  1981cited by this paper
• Letter: Hepanosticon in screening for HBsAg.

  1975cited by this paper
• GENETIC THEORY AND THE ALCOHOLIC PHENOTYPE

  1973cited by this paper
• Nonlinear Volterra Integral Equations

  1970cited by this paper
• On the linearization of Volterra integral equations.

  1968cited by this paper

• Finite-time analysis of epidemic reaction-diffusion models: Stability, synchronization, and numerical insights

  2025cites this paper
• Modeling COVID-19 transmission: effects of age structure and vaccination

  2025cites this paper
• Multiple pandemic waves vs multi-period/multi-phasic epidemics: Global shape of the COVID-19 pandemic.

  2024cites this paper
• INFEKCIJA VIRUSOM HUMANE IMUNODEFICIJENCIJE U TRUDNOĆI HUMAN IMUNODEFICIENCY VIRUS INFECTION IN PREGNANCY

  2023cites this paper
• Modelling and Control of Epidemics Across Scales

  2022cites this paper
• Application of Mathematical Modelling Approach in COVID-19 Transmission and Interventions Strategies

  2021cites this paper
• Global Existence of Solutions for Some Coupled Systems of Reaction-Diffusion Abdelmalek

  2021cites this paper
• Modellierung der HIV / AIDS-Epidemie bei Drogenkonsumenten und Sexarbeiterinnen in Kunming, China

  2020cites this paper
• Modelando la epidemia de VIH / SIDA entre usuarios de drogas y trabajadores sexuales

  2020cites this paper
• Modellering van de HIV / AIDS-epidemie onder drugsgebruikers en sekswerkers in Kunming, China

  2020cites this paper
• Global Existence and Asymptotic Behavior of Solutions for Some Coupled Systems via a Lyapunov Functional

  2019cites this paper
• Estimation and outbreak detection with interval observers for uncertain discrete-time SEIR epidemic models

  2019cites this paper
• Models for HIV/AIDS

  2019cites this paper
• Simple Compartmental Models for Disease Transmission

  2019cites this paper
• Traveling waves in the Kermack–McKendrick epidemic model with latent period

  2019cites this paper
• Effects of complexity and seasonality on backward bifurcation in vector–host models

  2018cites this paper
• Suppressing Epidemic Spreading Via Differential Susceptibility Models

  2018cites this paper
• A stage structured model for HIV/AIDS in the presence of vertical transmission: The case of Ghana

  2018cites this paper
• Optimal Control of Differential Infectivity Models

  2017cites this paper
• Class-Age Structure for Epidemics

  2017cites this paper
• The interplay between models and public health policies: Regional control for a class of spatially structured epidemics (think globally, act locally).

  2017cites this paper
• Reaction-Diffusion Systems in Epidemiology

  2017influential citation
• Optimal Control of Differential Infectivity Models

  2015cites this paper
• Backward bifurcation underlies rich dynamics in simple disease models

  2015cites this paper
• GLOBAL EXISTENCE OF SOLUTION FOR REACTION DIFFUSION SYSTEMS WITH A FULL MATRIX OF DIFFUSION COEFFICIENTS

  2014cites this paper
• A Mathematical Tuberculosis Model in Cameroon

  2013cites this paper
• Preface to special issue in honor of Carlos Castillo-Chavez.

  2013cites this paper
• A Lyapunov functional for a triangular reaction–diffusion system with nonlinearities of exponential growth

  2013cites this paper
• From the guest editors.

  2013cites this paper
• A deterministic model for HIV infection incorporating identification rate in a heterosexual population: Mathematical analysis

  2012cites this paper
• Models of Control and Spread of HIV-infection

  2012cites this paper
• On the formulation of epidemic models (an appraisal of Kermack and McKendrick)

  2012cites this paper
• Analysis of SIR epidemic models with nonlinear incidence rate and treatment.

  2012cites this paper
• DYNAMICAL MODELS OF ECOSYSTEMS AND EPIDEMICS

  2012cites this paper
• The stage-structured epidemic: linking disease and demography with a multi-state matrix approach model

  2011cites this paper
• SEI model with varying transmission and mortality rates

  2011cites this paper
• Flu epidemics: a two-strain flu model with a single vaccination

  2011cites this paper
• Dynamically consistent numerical methods for general productive–destructive systems

  2011cites this paper
• Global Existence of Solutions for Some Coupled Systems of Reaction-Diffusion

  2011cites this paper
• Stability of the Endemic Coexistence Equilibrium for One Host and Two Parasites

  2010cites this paper
• An Age-Structured Model for Childhood Obesity

  2010cites this paper
• Alternative transmission modes for Trypanosoma cruzi.

  2010cites this paper
• Invasion, persistence and control in epidemic models for plant pathogens: the effect of host demography

  2010cites this paper
• Global analysis for a general epidemiological model with vaccination and varying population

  2010cites this paper
• Partial Immunity and Vaccination for Influenza

  2010cites this paper
• Effect of cross-immunity on the transmission dynamics of two strains of dengue

  2010cites this paper
• Global existence of solutions for some coupled systems of reaction-diffusion equations

  2010cites this paper
• Can we spend our way out of the AIDS epidemic? A world halting AIDS model

  2009cites this paper
• Epidemics with general generation interval distributions.

  2009cites this paper
• EXISTENCE OF GLOBAL SOLUTIONS FOR A SYSTEM OF REACTION-DIFFUSION EQUATIONS WITH EXPONENTIAL NONLINEARITY

  2009cites this paper
• A non-autonomous multi-strain SIS epidemic model

  2009cites this paper
• Mathematical epidemiology is not an oxymoron

  2009cites this paper
• The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growth.

  2009cites this paper
• A mathematical model of infectious diseases

  2009cites this paper
• Sensitivity of Model-Based Epidemiological Parameter Estimation to Model Assumptions

  2009cites this paper
• The Chain of Infection, Contacts, and Model Parametrization

  2009cites this paper
• THE DYNAMICS OF A DELAY MODEL OF HBV INFECTION WITH LOGISTIC HEPATOCYTE GROWTH

  2009cites this paper
• The Role of Mathematical Models in Explaining Recurrent Outbreaks of Infectious Childhood Diseases

  2008cites this paper
• The Role of Heterogeneity in the Persistence and Prevalence of Sin Nombre Virus in Deer Mice

  2008influential citation
• Analysis of a delayed HIV/AIDS epidemic model with saturation incidence

  2008cites this paper
• THE DYNAMICS OF A DELAY MODEL OF HBV INFECTION WITH LOGISTIC HEPATOCYTE GROWTH S

  2008cites this paper
• Compartmental Models in Epidemiology

  2008cites this paper
• Mathematical Models of Influenza: The Role of Cross-Immunity, Quarantine and Age-Structure

  2008cites this paper
• Seir epidemiological model with varying infectivity and infinite delay.

  2008cites this paper
• A Stochastic Model for Prevention and Control of HIV/AIDS Transmission Dynamics

  2007cites this paper
• Dynamics of an HIV/AIDS model - The effect of time delay

  2007cites this paper
• Dynamics of Seis Epidemic Models with Varying Population Size

  2007cites this paper
• The Relationship between Health Care Provision and AIDS Prevalence in Sub-Saharan Africa

  2006cites this paper
• Incubation periods under various anti-retroviral therapies in homogeneous mixing and age-structured dynamical models: A theoretical approach

  2006cites this paper
• Does Better Health Care Lead to Higher AIDS Rates ? Evidence from Sub-Saharan Africa

  2006cites this paper
• GLOBAL DYNAMICS OF AN SEIR EPIDEMIC MODEL WITH IMMIGRATION OF DIFFERENT COMPARTMENTS

  2006cites this paper
• Modeling the HIV/AIDS Epidemic Among Injecting Drug Users and Sex Workers in Kunming, China

  2006cites this paper
• Improving estimates of the basic reproductive ratio: Using both the mean and the dispersal of transition times

  2006cites this paper
• Two differential infectivity epidemic models with nonlinear incidence rate

  2005cites this paper
• Some simple epidemic models.

  2005cites this paper
• A decrease in drug resistance levels of the HIV epidemic can be bad news

  2005cites this paper
• Epidemiological Models Applied to Viruses in Computer Networks

  2005cites this paper
• The Kermack-McKendrick epidemic model revisited.

  2005cites this paper
• THE MATHEMATICAL MODELING OF EPIDEMICS Lecture 2 : The disease clock

  2005cites this paper
• On the uniform boundedness of the solutions of systems of reaction-diffusion equations

  2005cites this paper
• Effects of education, vaccination and treatment on HIV transmission in homosexuals with genetic heterogeneity.

  2004cites this paper
• Analysis of an SIS epidemiologic model with variable population size and a delay

  2003cites this paper
• The Transition Through Stages with Arbitrary Length Distributions, and Applications in Epidemics

  2002cites this paper
• Effects of Acquired Immunity and Mating Strategy on the Genetic Structure of Parasite Populations

  2002cites this paper
• Kenneth L. Cooke: Researcher, Educator Par Excellence

  2002cites this paper
• New Directions in the Mathematics of Infectious Disease

  2002cites this paper
• Dispersal, disease and life-history evolution.

  2001cites this paper
• Destabilization of epidemic models with the inclusion of realistic distributions of infectious periods

  2001cites this paper
• A mathematical treatment of AIDS and condom use.

  2001cites this paper
• Discrete Time S-I-S Models with Simple and Complex Population Dynamics

  2000cites this paper
• Analysis of a disease transmission model with two groups of infectives

  2000cites this paper
• Endemic Models with Arbitrarily Distributed Periods of Infection I: Fundamental Properties of the Model

  2000cites this paper
• Two SIS epidemiologic models with delays

  2000cites this paper
• Periodic solutions: a robust numerical method for an S-I-R model of epidemics

  1999cites this paper
• Dynamics of Japanese encephalitis--a study in mathematical epidemiology.

  1999cites this paper
• Positive solutions and dynamics of some reaction diffusion models in HIV transmission

  1999cites this paper
• Advances in HIV/AIDS statistical methodology over the past decade.

  1998cites this paper
• Backwards bifurcations and catastrophe in simple models of fatal diseases

  1998cites this paper
• The effects of vaccination in an age-dependent model for varicella and herpes zoster

  1998cites this paper
• Behavior Changes in SIS STD Models with Selective Mixing

  1997cites this paper