The SIAM Epidemiology Collection has been made freely available in response to the outbreak of the novel coronavirus SARS-CoV-2 and the associated disease COVID-19. 
We hope this content on epidemiology, disease modeling, pandemics and vaccines will help in the rapid fight against this global problem.


▪ 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 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 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 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
▪ 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
▪ 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
▪ 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 Models and the Design of Public Health Policy: Hiv and Antiviral Therapy
▪ Mathematical Models for Communicable Diseases (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
▪ 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
▪ 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