• A Bound of Convergence Rate in Weak Law of Large Numbers for Epidemic Process |
• A Delay Reaction-Diffusion Model of the Spread of Bacteriophage Infection |
• A Diffusion Model for AIDS in a Closed, Heterosexual Population: Examining Rates of Infection |
• A Hepatitis B and C Virus Model with Age since Infection that Exhibits Backward Bifurcation |
• A Limit Distribution of the Duration of an Epidemic |
• A Mathematical Model of the Spread of Feline Leukemia Virus (FeLV) Through a Highly Heterogeneous Spatial Domain |
• A Method to Deal With the Critical Case in Stochastic Population Dynamics |
• A Model for Viral Genome Packing |
• A Multipatch Malaria Model with Logistic Growth Populations |
• A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission |
• A Reaction-Diffusion Lyme Disease Model with Seasonality |
• A School-Oriented, Age-Structured Epidemic Model |
• A Stochastic Differential Equation SIS Epidemic Model |
• A Stochastic Model of a Nonhomogeneous Carrier-Borne Epidemic |
• A Vaccination Model for Transmission Dynamics of Influenza |
• A West Nile Virus Transmission Model with Periodic Incubation Periods |
• An Advection and Age-Structured Approach to Modeling Bird Migration and Indirect Transmission of Avian Influenza |
• An Age-Structured Epidemic Model in a Patchy Environment |
• An Epidemic Model with Population Dispersal and Infection Period |
• An Exploration and Simulation of Epidemic Spread and its Control in Multiplex Networks |
• Analysis of a Reaction-Diffusion System Modeling Man--Environment--Man Epidemics |
• Analysis of an Antimicrobial Resistance Transmission Model |
• Analysis of Combined Langerhans and CD4+ T Cells HIV Infection |
• Analysis of Hepatitis C Virus Infection Models with Hepatocyte Homeostasis |
• Analytical and Numerical Results for the Age-Structured S-I-S Epidemic Model with Mixed Inter-Intracohort Transmission |
• Analytical Study of Optimal Control Intervention Strategies for Ebola Epidemic Model |
• Applying Regular Perturbation Analysis to HCV Viral Load Equations* |
• Approximation Algorithms for Reducing the Spectral Radius to Control Epidemic Spread |
• Asymptotic Behavior and Numerical Simulations for an Infection Load-Structured Epidemiological Model: Application to the Transmission of Prion Pathologies |
• Asymptotic Behavior of Some Deterministic Epidemic Models |
• Asymptotic Control for a Class of Piecewise Deterministic Markov Processes Associated to Temperate Viruses |
• Asymptotic Profiles of Basic Reproduction Number for Epidemic Spreading in Heterogeneous Environment |
• Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model |
• Avian Influenza Dynamics Under Periodic Environmental Conditions |
• Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models |
• Behavior Changes in SIS STD Models with Selective Mixing |
• Bifurcation Analysis of a Generalized Impulsive Kolmogorov Model With Applications to Pest and Disease Control |
• Bifurcation Analysis of a Mathematical Model for Malaria Transmission |
• Bifurcation Analysis of an SIRS Epidemic Model with Generalized Incidence |
• Bioterrorism: Mathematical Modeling Applications in Homeland Security (Full e-book) |
• Branching Process Approximation of Epidemic Models |
• Budgeted Maximum Coverage with Overlapping Costs: Monitoring the Emerging Infections Network* |
• Can Pathogen Spread Keep Pace with its Host Invasion? |
• Case Study: Models of Infection: Person to Person |
• Case Study: More Models of Infection: It's Epidemic |
• Classification of Asymptotic Behavior in a Stochastic SIR Model |
• Coexistence of Limit Cycles and Homoclinic Loops in a SIRS Model with a Nonlinear Incidence Rate |
• Competitive Exclusion and Coexistence of Multiple Strains in an SIS STD Model |
• Conditions for Transient Viremia in Deterministic in-Host Models: Viral Blips Need No Exogenous Trigger |
• Control Strategies for TB Epidemics |
• Cooperative Epidemic Spreading on a Two-Layered Interconnected Network |
• Coupled Parabolic and Hyperbolic Equations Modeling Age-Dependent Epidemic Dynamics with Nonlinear Diffusion |
• DAVA: Distributing Vaccines over Networks under Prior Information |
• Demographic Change and Persistence of HIV/AIDS in a Heterogeneous Population |
• Developing a model from the ground up: Case study of the spread of an infection |
• Discrete-Time SIS EpidemicModel in a Seasonal Environment |
• Dynamic Control of Modern, Network-Based Epidemic Models |
• Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems (Full e-book) |
• Dynamics of a Time-Delayed Lyme Disease Model with Seasonality |
• Dynamics of Two-Strain Influenza with Isolation and Partial Cross-Immunity |
• Early HIV Infection Predictions: Role of Viral Replication Errors |
• Effective Motion of a Virus Trafficking Inside a Biological Cell |
• Effects of Randomness of Risk Factors on the HIV Epidemic in Homosexual Populations |
• Endemic Bubbles Generated by Delayed Behavioral Response: Global Stability and Bifurcation Switches in an SIS Model |
• Endemic Models with Arbitrarily Distributed Periods of Infection I: Fundamental Properties of the Model |
• Endemic Models with Arbitrarily Distributed Periods of Infection II: Fast Disease Dynamics and Permanent Recovery |
• Endemic Thresholds and Stability in a Class of Age-Structured Epidemics |
• Epidemic Estimation with Removal Time Data |
• Epidemic Models |
• Epidemic Outbreaks in Networks with Equitable or Almost-Equitable Partitions |
• Epidemic Spread and Variation of Peak Times in Connected Regions Due to Travel-Related Infections---Dynamics of an Antigravity-Type Delay Differential Model |
• Epidemiological Consequences of Imperfect Vaccines for Immunizing Infections |
• Epidemiological Models for Mutating Pathogens |
• Epidemiology |
• Equivalence of the Erlang-Distributed SEIR Epidemic Model and the Renewal Equation |
• Estimation of Induction Distributions with Doubly Censored Data and Application to AIDS |
• Final Probabilities for a Branching Process with Interaction of Particles and an Epidemic Process |
• Final Size of an Epidemic for a Two-Group SIR Model |
• Finding Strategies to Regulate Propagation and Containment of Dengue via Invariant Manifold Analysis |
• Fractional Immunization in Networks |
• Global Behavior of a Multi-Group SIR Epidemic Model with Age Structure and an Application to the Chlamydia Epidemic in Japan |
• Global Behavior of an Age-Structured Epidemic Model |
• Global Dynamics of a General Class of Multistage Models for Infectious Diseases |
• Global Dynamics of an SEIR Epidemic Model with Vertical Transmission |
• Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation |
• Global Solution for a Diffusive Nonlinear Deterministic Epidemic Model |
• Global Stability for a Virus Dynamics Model with Nonlinear Incidence of Infection and Removal |
• Global Stability of a Nonlinear Viral Infection Model with Infinitely Distributed Intracellular Delays and CTL Immune Responses |
• Global Stability of Infectious Disease Models Using Lyapunov Functions |
• Global Stability of Virus Spreading in Complex Heterogeneous Networks |
• Hidden Hazards: Finding Missing Nodes in Large Graph Epidemics |
• Hierarchical Mixed-Effects Model for HIV Dynamics |
• Hopf Bifurcation in a System of Functional Equations Modeling the Spread of an Infectious Disease |
• Host Demographic Allee Effect, Fatal Disease, and Migration: Persistence or Extinction |
• How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS? |
• Human Immunodeficiency Virus: Quasi-Species and Drug Resistance |
• Impact of Intracellular Delays and Target-Cell Dynamics on In Vivo Viral Infections |
• In the Garden of Branching Processes |
• Learning Feature Dependencies for Noise Correction in Biomedical Prediction |
• Longtime Behavior of Solutions of a SIS Epidemiological Model |
• Long-Term Analysis of a Stochastic SIRS Model with General Incidence Rates |
• Lyapunov Functionals for Delay Differential Equations Model of Viral Infections |
• Mathematical Analysis of Age?Structured HIV?1 Dynamics with Combination Antiretroviral Therapy |
• Mathematical Analysis of HIV-1 Dynamics in Vivo |
• Mathematical Modelling |
• Mathematical Modeling for Schistosomiasis with Seasonal Influence: A Case Study in Hubei, China |
• Mathematical Models and the Design of Public Health Policy: Hiv and Antiviral Therapy |
• Mathematical Models for Communicable Diseases (Full e-book) |
• Mathematical Models in Biology (Full e-book) |
• Modeling HIV-1 Virus Dynamics with Both Virus-to-Cell Infection and Cell-to-Cell Transmission |
• Modeling Intervention Measures and Severity-Dependent Public Response during Severe Acute Respiratory Syndrome Outbreak |
• Modeling Memory Effects in Activity-Driven Networks |
• Modeling Pharmacodynamics on HIV Latent Infection: Choice of Drugs is Key to Successful Cure via Early Therapy |
• Modeling the Early Steps of Cytoplasmic Trafficking in Viral Infection and Gene Delivery |
• Modeling the Effect of Public Health Campaigns on the Spread of Aids |
• Modeling the Effectiveness of Isolation Strategies in Preventing STD Epidemics |
• Modeling the Transmission of Wolbachia in Mosquitoes for Controlling Mosquito-Borne Diseases |
• Multiscale Flux-Based Modeling of Biofilm Communities |
• Nonlinear Oscillations in Epidemic Models |
• Nonzero Solutions of Nonlinear Integral Equations Modeling Infectious Disease |
• Numerical Analysis of a Model for the Spread of HIV/AIDS |
• Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection |
• On a Diffusive Susceptible-Infected-Susceptible Epidemic Model with Mass Action Mechanism and Birth-Death Effect: Analysis, Simulations, and Comparison with Other Mechanisms |
• On a Network Model of Two Competitors With Applications to the Invasion and Competition of Aedes Albopictus and Aedes Aegypti Mosquitoes in the United States |
• On Identifiability of Nonlinear ODE Models and Applications in Viral Dynamics |
• On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models |
• On the Distribution of the Size of an Epidemicin a Non-Markovian Model |
• Optimal Containment of Epidemics over Temporal Activity-Driven Networks |
• Optimal control strategies for reducing the number of active infected individuals with tuberculosis* |
• Optimal Releases for Population Replacement Strategies: Application to Wolbachia |
• Optimal Vaccination Patterns in Age-Structured Populations |
• Periodic Solutions for a Reaction-Diffusion System Modelling the Spread of a Class of Epidemics |
• Perturbation and Maximum Number of Infectives of Some SIR Epidemic Models |
• Predictive Modeling with Heterogeneous Sources |
• Reproduction Numbers and the Stability of Equilibria of SI Models for Heterogeneous Populations |
• Rich Bifurcation Structure in a Two-Patch Vaccination Model |
• Risk-Dependent Centrality in Economic and Financial Networks |
• SIR-Network Model and Its Application to Dengue Fever |
• Some Vector Borne Diseases with Structured Host Populations: Extinction and Spatial Spread |
• Sparse Representation for HIV-1 Protease Drug Resistance Prediction* |
• Spatial and Temporal Dynamics of a Nonlocal Viral Infection Model |
• Spatial Invasion Threshold of Lyme Disease |
• Stability Analysis of Delay Models in Biosciences |
• Stability and Bifurcation for a Multiple-Group Model for the Dynamics of HIV/AIDS Transmission |
• Stability and Sensitivity Analysis of the iSIR Model for Indirectly Transmitted Infectious Diseases with Immunological Threshold |
• Stochastic Analysis of Pre- and Postexposure Prophylaxis against HIV Infection |
• Stochastic Simulation Models for Two Immunization Problems |
• The Asymptotic Analysis of a Stochastic Model of an Epidemic |
• The Complete Classification for Dynamics in a Nine-Dimensional West Nile Virus Model |
• The Interaction of Migratory Birds and Domestic Poultry and Its Role in Sustaining Avian Influenza |
• The Law of Large Numbers for the Number of Active Particles in an Epidemic Model |
• The Mathematics of Infectious Diseases |
• The Role of Coinfection in Multidisease Dynamics |
• The Spread and Quarantine of HIV Infection in a Prison System |
• Theories of Epidemics |
• Travel Frequency and Infectious Diseases |
• Traveling Waves for a Class of Diffusive Disease-Transmission Models with Network Structures |
• Turning Points And Relaxation Oscillation Cycles in Simple Epidemic Models |
• Two-Group Infection Age Model Including an Application to Nosocomial Infection |
• Use of the Back-Projection Method for Predictions of the Australian Aids Epidemic |
• Validating an Assay of Viral Contamination |
• Viral Blips May Not Need a Trigger: How Transient Viremia Can Arise in Deterministic In-Host Models |
• Virus Dynamics: A Global Analysis |
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