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The dynamics of strongly immunizing childhood infections is still not well understood. Although reports of successful modeling of several incidence data records can be found in the literature, the key determinants of the observed temporal…

种群与进化 · 定量生物学 2012-10-09 Ganna Rozhnova , Ana Nunes

This is an epidemiological SIRV model based study that is designed to analyze the impact of vaccination in containing infection spread, in a 4-tiered population compartment comprised of susceptible, infected, recovered and vaccinated…

种群与进化 · 定量生物学 2018-11-14 Ewa Grela , Michael Stich , Amit K Chattopadhyay

When the body gets infected by a pathogen or receives a vaccine dose, the immune system develops pathogen-specific immunity. Induced immunity decays in time and years after recovery/vaccination the host might become susceptible again.…

种群与进化 · 定量生物学 2015-01-15 Maria Vittoria Barbarossa , Gergely Röst

This paper deals with the long-term behaviour and incidence of a vaccine-preventable contact disease, under the assumption that both vaccine protection and immunity after recovery are not lifelong. The mathematical model is developed in a…

种群与进化 · 定量生物学 2024-12-11 María Jesús Lopez-Herrero , Diana Taipe

SIRS models capture transmission dynamics of infectious diseases for which immunity is not lifelong. Extending these models by a W compartment for individuals with waning immunity, the boosting of the immune system upon repeated exposure…

种群与进化 · 定量生物学 2022-01-19 Richmond Opoku-Sarkodie , Ferenc A. Bartha , Mónika Polner , Gergely Röst

We consider the interplay of vaccination and migration rates on disease persistence in epidemiological systems. We show that short-term and long-term migration can inhibit disease persistence. As a result, we show how migration changes how…

生物物理 · 物理学 2012-05-22 Jackson Burton , Lora Billings , Derek A. T. Cummings , Ira B. Schwartz

SIRS epidemic models assume that individual immunity (from infection and vaccination) wanes in one big leap, from complete immunity to complete susceptibility. For many diseases immunity on the contrary wanes gradually, something that's…

种群与进化 · 定量生物学 2022-11-17 Mohamed El Khalifi , Tom Britton

We propose a model of the immunity to a cyclical epidemic disease taking account not only of seasonal boosts during the infectious season, but also of residual immunity remaining from one season to the next. The focus is on the exponential…

种群与进化 · 定量生物学 2024-04-22 Siyu Chen , David Sankoff

The success of an infectious disease to invade a population is strongly controlled by the population's specific connectivity structure. Here a network model is presented as an aid in understanding the role of social behavior and…

元胞自动机与格子气 · 物理学 2007-07-10 Anna Litvak-Hinenzon , Lewi Stone

We analyze the susceptible-infected-susceptible model for epidemic spreading in which a fraction of the individuals become immune by vaccination. This process is understood as a dilution by vaccination, which decreases the fraction of the…

种群与进化 · 定量生物学 2021-11-10 Tânia Tomé , Mário J. de Oliveira

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…

物理与社会 · 物理学 2013-12-05 Chao-Ran Cai , Zhi-Xi wu , Jian-Yue Guan

Waning immunity and reinfection are critical features of many infectious diseases, but epidemiological models often fail to capture the intricate interaction between an individual's history of immunity and their current infection status;…

种群与进化 · 定量生物学 2026-03-25 Raimund M. Kovacevic , Nikolaos I. Stilianakis , Vladimir M. Veliov

The Markovian approach, which assumes exponentially distributed interinfection times, is dominant in epidemic modeling. However, this assumption is unrealistic as an individual's infectiousness depends on its viral load and varies over…

种群与进化 · 定量生物学 2023-08-02 Qihui Yang , Joan Saldaña , Caterina Scoglio

We investigate how a population's natural and vaccine immunity affects the competitive balance between two strains of an infectious disease with different epidemiological characteristics. Specifically, we consider the case where one strain…

动力系统 · 数学 2023-12-27 Matthew D. Johnston , Bruce Pell , Jared Pemberton , David A. Rubel

We develop a mechanistic model that classifies individuals both in terms of epidemiological status (SIR) and vaccination attitude (willing or unwilling), with the goal of discovering how disease spread is influenced by changing opinions…

The waning of immunity after recovery or vaccination is a major factor accounting for the severity and prolonged duration of an array of epidemics, ranging from COVID-19 to diphtheria and pertussis. To study the effectiveness of different…

动力系统 · 数学 2023-02-01 Shoshana Elgart

This work consists of an epidemic model with vaccination coupled with an opinion dynamics. Our objective was to study how disease risk perception can influence opinions about vaccination and therefore the spreading of the disease.…

物理与社会 · 物理学 2019-11-20 Marcelo A. Pires , André L. Oestereich , Nuno Crokidakis

Susceptible-Infected-Recovered (SIR) models have been used for decades to understand epidemic outbreak dynamics. We develop an SIR model specifically designed to study the effects of population behavior with respect to health and…

种群与进化 · 定量生物学 2023-08-03 Jasmin Nunuvero , Angelique Santiago , Moshe Cohen , Anca Radulescu

We study the interaction between epidemic spreading and a vaccination process. We assume that, similar to the disease spreading, also the vaccination process occurs through direct contact, i.e., it follows the standard…

物理与社会 · 物理学 2020-06-22 Mozhgan Khanjanianpak , Nahid Azimi-Tafreshi , Claudio Castellano

The outbreak of mutant strains and vaccination behaviors have been the focus of recent epidemiological research, but most existing epidemic models failed to simultaneously capture viral mutation and consider the complexity and behavioral…

种群与进化 · 定量生物学 2026-01-16 Wenjie Zhang , Yusheng Li , Qin Li , Guojun Huang , Minyu Feng
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