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We propose a framework for the description of the effects of vaccinations on the spreading of an epidemic disease. Different vaccines can be dosed, each providing different immunization times and immunization levels. Differences due to…

Analysis of PDEs · Mathematics 2024-07-23 Rinaldo M. Colombo , Mauro Garavello

The spread of certain diseases can be promoted, in some cases substantially, by prior infection with another disease. One example is that of HIV, whose immunosuppressant effects significantly increase the chances of infection with other…

Physics and Society · Physics 2014-08-04 M. E. J. Newman , C. R. Ferrario

We study a susceptible-vaccinated--infected--recovered (SVIR) epidemic-spreading model with diversity of infection rate of the individuals. By means of analytical arguments as well as extensive computer simulations, we demonstrate that the…

Physics and Society · Physics 2013-12-05 Chao-Ran Cai , Zhi-Xi wu , Jian-Yue Guan

Quarantine of those individuals who are suspected of being infected is one of the intervention measures to contain the spread of an infectious disease. We propose an age structured SEQIR (S-Susceptible, E-Exposed, Q-Quarantine, I-Infected,…

Analysis of PDEs · Mathematics 2020-12-21 Manoj Kumar , Syed Abbas

Motivated by massive outbreaks of COVID-19 that occurred even in populations with high vaccine uptake, we propose a novel multi-population temporal network model for the spread of recurrent epidemic diseases. We study the effect of human…

Dynamical Systems · Mathematics 2022-09-19 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

Pattern-diluted associative networks were introduced recently as models for the immune system, with nodes representing T-lymphocytes and stored patterns representing signalling protocols between T- and B-lymphocytes. It was shown earlier…

Disordered Systems and Neural Networks · Physics 2015-04-17 Elena Agliari , Alessia Annibale , Adriano Barra , A. C. C. Coolen , Daniele Tantari

We use analytical methods to investigate a continuous vaccination strategy effects on the infectious disease dynamics in a closed population and a demographically open population. The methodology and key assumptions are based on Breda et al…

Populations and Evolution · Quantitative Biology 2020-09-24 Aubain Nzokem , Neal Madras

We present a stochastic epidemic model to study the effect of various preventive measures, such as uniform reduction of contacts and transmission, vaccination, isolation, screening and contact tracing, on a disease outbreak in a…

Populations and Evolution · Quantitative Biology 2022-07-08 Martina Favero , Gianpaolo Scalia Tomba , Tom Britton

We introduce a 2-layer network model for the study of the immunization dynamics in epidemics. Spreading of an epidemic is modeled as an excitatory process in a small-world network (body layer) while immunization by prevention for the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hang-Hyun Jo , Hie-Tae Moon , Seung Ki Baek

Understanding the epidemic dynamics, and finding out efficient techniques to control it, is a challenging issue. A lot of research has been done on targeted immunization strategies, exploiting various global network topological properties.…

Social and Information Networks · Computer Science 2016-01-21 Naveen Gupta , Anurag Singh , Hocine Cherifi

In this paper, we extend the classical SIRS (Susceptible-Infectious-Recovered-Susceptible) model from mathematical epidemiology by incorporating a vaccinated compartment, V, accounting for an imperfect vaccine with waning efficacy over…

Populations and Evolution · Quantitative Biology 2025-01-30 Joseph Páez Chávez , Aytül Gökçe , Thomas Götz , Burcu Gürbüz

Dynamics of the infectious disease transmission is often best understood taking into account the structure of population with respect to specific features, in example age or immunity level. Practical utility of such models depends on the…

Applications · Statistics 2016-06-21 Piotr Gwiazda , Błażej Miasojedow , Magdalena Rosińska

There has been much recent interest in modelling epidemics on networks, particularly in the presence of substantial clustering. Here, we develop pairwise methods to answer questions that are often addressed using epidemic models, in…

Populations and Evolution · Quantitative Biology 2010-12-10 Thomas House , Matt J Keeling

To explore the mechanistic relationships between ageing, frailty and mortality, we developed a computational model in which possible health attributes are represented by the nodes of a complex network. Each node can be either damaged (i.e.…

Populations and Evolution · Quantitative Biology 2017-06-30 Andrew D. Rutenberg , Arnold B. Mitnitski , Spencer Farrell , Kenneth Rockwood

Mechanisms of immunity, and of the host-pathogen interactions in general are among the most fundamental problems of medicine, ecology, and evolution studies. Here, we present a microscopic, protein-level, sequence-based model of immune…

Biomolecules · Quantitative Biology 2007-11-22 Muyoung Heo , Konstantin B. Zeldovich , Eugene I. Shakhnovich

Epidemiological models increasingly rely on self-reported behavioral data such as vaccination status, mask usage, and social distancing adherence to forecast disease transmission and assess the impact of non-pharmaceutical interventions…

Computer Science and Game Theory · Computer Science 2026-02-24 Yiqi Su , Christo Kurisummoottil Thomas , Walid Saad , Bud Mishra , Naren Ramakrishnan

In this paper, we analyze the temporal evolution of the age-dependent force of infection and incidence of rubella, after the introduction of a very specific vaccination programme in a previously nonvaccinated population where rubella was in…

Other Quantitative Biology · Quantitative Biology 2009-06-05 M. Amaku , F. A. B. Coutinho , R. S. Azevedo , M. N. Burattini , L. F. Lopez , E. Massad

We investigate an epidemiological model that incorporates waning of immunity at the individual level and boosting of the immune system upon re-exposure to the pathogen. When immunity is fully restored upon boosting, the system can be…

Dynamical Systems · Mathematics 2025-08-05 Francesca Scarabel , Mónika Polner , Daniel Wylde , Maria Vittoria Barbarossa , Gergely Röst

An age structured mathematical model with time dependent parameters is developed to investigate the dynamics of dengue transmission. Its properties are thoroughly analyzed in the first part of this work, as for example its disease free…

Populations and Evolution · Quantitative Biology 2025-11-21 Ihtisham Ul Haq , Serge Richard

Malaria is one of the most common mosquito-borne diseases widespread in tropical and subtropical regions, causing thousands of deaths every year in the world. In a previous paper, we formulated an age-structured model containing three…

Populations and Evolution · Quantitative Biology 2024-05-24 Quentin Richard , Marc Choisy , Ramsès Djidjou-Demasse , Thierry Lefèvre