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  1. Article

    Open Access

    The Optimal Age of Vaccination Against Dengue with an Age-Dependent Biting Rate with Application to Brazil

    In this paper we introduce a single serotype transmission model, including an age-dependent mosquito biting rate, to find the optimal vaccination age against dengue in Brazil with Dengvaxia. The optimal vaccin...

    Sandra B. Maier, Eduardo Massad, Marcos Amaku… in Bulletin of Mathematical Biology (2020)

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  2. No Access

    Article

    Estimating the Size of the HCV Infection Prevalence: A Modeling Approach Using the Incidence of Cases Reported to an Official Notification System

    In this paper we propose two methods to give a first rough estimate of the actual number of hepatitis C virus (HCV)-infected individuals (prevalence) taking into account the notification rate of newly diagnose...

    Marcos Amaku, Marcelo Nascimento Burattini… in Bulletin of Mathematical Biology (2016)

  3. Article

    Modeling Importations and Exportations of Infectious Diseases via Travelers

    This paper is an attempt to estimate the risk of infection importation and exportation by travelers. Two countries are considered: one disease-free country and one visited or source country with a running ende...

    Luis Fernandez Lopez, Marcos Amaku… in Bulletin of Mathematical Biology (2016)

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  4. No Access

    Article

    A Comparative Analysis of the Relative Efficacy of Vector-Control Strategies Against Dengue Fever

    Dengue is considered one of the most important vector-borne infection, affecting almost half of the world population with 50 to 100 million cases every year. In this paper, we present one of the simplest model...

    Marcos Amaku, Francisco Antonio Bezerra Coutinho… in Bulletin of Mathematical Biology (2014)

  5. No Access

    Article

    The Impact of Hepatitis A Virus Infection on Hepatitis C Virus Infection: A Competitive Exclusion Hypothesis

    We address the observation that, in some cases, patients infected with the hepatitis C virus (HCV) are cleared of HCV when super-infected with the hepatitis A virus (HAV). We hypothesise that this phenomenon c...

    Marcos Amaku, Francisco Antonio Bezerra Coutinho… in Bulletin of Mathematical Biology (2013)

  6. No Access

    Article

    Modeling the Dynamics of Viral Evolution Considering Competition Within Individual Hosts and at Population Level: The Effects of Treatment

    We consider two viral strains competing against each other within individual hosts (at cellular level) and at population level (for infecting hosts) by studying two cases. In the first case, the strains do not...

    Marcos Amaku, Marcelo Nascimento Burattini… in Bulletin of Mathematical Biology (2010)