Functional central limit theorems for epidemic models with varying infectivity [PDF]
In this paper, we prove functional central limit theorems (FCLTs) for a stochastic epidemic model with varying infectivity and general infectious periods recently introduced in Forien, Pang and Pardoux (2020).The infectivity process (total force of infection at each time) is composed of the independent infectivity random functions of each infectious ...
arxiv
Arboviruses: Molecular Biology, Evolution and Control. Nikos Vasilakis and Duane J. Gubler
Arthropod-borne viruses (arboviruses) have a devastating impact on human health. The arbovirus of greatest medical significance is dengue virus (family Flaviviridae), which occurs in every, or almost every, country with a tropical or subtropical ...
B. Blitvich
semanticscholar +1 more source
SIS Epidemic Spreading with Heterogeneous Infection Rates [PDF]
In this work, we aim to understand the influence of the heterogeneity of infection rates on the Susceptible-Infected-Susceptible (SIS) epidemic spreading. Employing the classic SIS model as the benchmark, we study the influence of the independently identically distributed infection rates on the average fraction of infected nodes in the metastable state.
arxiv
Vector-borne threats: Sustainable approaches to their diagnosis and treatment [PDF]
Arbovirus is a vital, life-threatening disease worldwide and continues to be a significant problem while the world is dealing with the major coronavirus (COVID-19) pandemic. Vectors, mostly mosquitoes and ticks, transmit this disease. Dengue fever, chikungunya, and Zika viruses are the major threats because of their high incidence, public health burden,
arxiv
Infected surfaces of vehicles as possible way of people's infection by bird flu pathogenic culture [PDF]
Possible variant of people's infection by bird flu pathogenic culture in passing of everyday infection is presented in the work: through the contact of open parts of the skin with infected surfaces of the vehicle, that is the sequent of the reused water, which contains all species spectrum of pathogen accumulated on the urban areas, used in process of ...
arxiv
Infection dynamics for fluctuating infection or removal rates regarding the number of infected and susceptible individuals [PDF]
In general, the rates of infection and removal (whether through recovery or death) are nonlinear functions of the number of infected and susceptible individuals. One of the simplest models for the spread of infectious diseases is the SIR model, which categorizes individuals as susceptible, infectious, recovered or deceased. In this model, the infection
arxiv
A new chaotic attractor in a basic multi-strain epidemiological model with temporary cross-immunity [PDF]
An epidemic multi-strain model with temporary cross-immunity shows chaos, even in a previously unexpected parameter region. Especially dengue fever models with strong enhanced infectivity on secondary infection have previously shown deterministic chaos motivated by experimental findings of antibody-dependent-enhancement (ADE). Including temporary cross-
arxiv
Network infection source identification under the SIRI model [PDF]
We study the problem of identifying a single infection source in a network under the susceptible-infected-recovered-infected (SIRI) model. We describe the infection model via a state-space model, and utilizing a state propagation approach, we derive an algorithm known as the heterogeneous infection spreading source (HISS) estimator, to infer the ...
arxiv
A spatial epidemic model with site contamination [PDF]
We introduce the effect of site contamination in a model for spatial epidemic spread and show that the presence of site contamination may have a strict effect on the model in the sense that it can make an otherwise subcritical process supercritical.
arxiv
A node-based SIRS epidemic model with infective media on complex networks [PDF]
In this paper, we focus on the node-based epidemic modeling for networks, introduce the propagation medium and propose a node-based Susceptible-Infected-Recovered-Susceptible (SIRS) epidemic model with infective media. Theoretical investigations show that the endemic equilibrium is globally asymptotically stable.
arxiv