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The recent COVID-19 pandemic has led to an increasing interest in the modeling and analysis of infectious diseases. The pandemic has made a significant impact on the way we behave and interact in our daily life. The past year has witnessed…

Computer Science and Game Theory · Computer Science 2021-06-17 Shutian Liu , Yuhan Zhao , Quanyan Zhu

We propose a mathematical model for the transmission dynamics of SARS-CoV-2 in a homogeneously mixing non constant population, and generalize it to a model where the parameters are given by piecewise constant functions. This allows us to…

Since December 2020, variants of COVID-19 (especially Delta and Omicron) appeared with different characteristics that influenced death and transmissibility emerged around the world. To address the novel dynamics of the disease, we propose a…

Populations and Evolution · Quantitative Biology 2022-01-19 Sarita Bugalia , Jai Prakash Tripathi , Hao Wang

Several mathematical models in SARS-CoV-2 have shown how target-cell model can help to understand the spread of the virus in the host and how potential candidates of antiviral treatments can help to control the virus. Concepts as…

Optimization and Control · Mathematics 2021-06-24 Mara Perez , Pablo Abuin , Marcelo Actis , Antonio Ferramosca , Esteban A. Hernandez-Vargas , Alejandro H. Gonzalez

In this paper, we propose a mathematical framework that governs the evolution of epidemic dynamics, encompassing both intra-population dynamics and inter-population mobility within a metapopulation network. By linearizing this dynamical…

Physics and Society · Physics 2025-05-05 Yazdan Babazadeh , Amin Safaeesirat , Fakhteh Ghanbarnejad

Currently, the world seeks to find appropriate mitigation techniques to control and prevent the spread of the new SARS-CoV-2. In our paper herein, we present a peculiar Multi-Task Learning framework that jointly predicts the effect of…

Machine Learning · Computer Science 2021-08-24 Bonaventure Chidube Molokwu , Shaon Bhatta Shuvo , Ziad Kobti , Anne Snowdon

We propose a realistic model for the evolution of the COVID-19 pandemic subject to the lockdown and quarantine measures, which takes into account the time-delay for recovery or death processes. The dynamic equations for the entire process…

Medical Physics · Physics 2021-01-15 Giorgio Sonnino , Philippe Peeters , Pasquale Nardone

Mathematical models of SARS-CoV-2 spread are used for guiding the design of mitigation steps aimed at containing and decelerating the contagion, and at identifying impending breaches of health care system surge capacity. The challenges of…

Populations and Evolution · Quantitative Biology 2020-06-17 Daniela Calvetti , Alexander Hoover , Johnie Rose , Erkki Somersalo

We propose a Markovian stochastic approach to model the spread of a SARS-CoV-2-like infection within a closed group of humans. The model takes the form of a Partially Observable Markov Decision Process (POMDP), whose states are given by the…

Systems and Control · Electrical Eng. & Systems 2022-04-26 Luigi Palopoli , Daniele Fontanelli , Marco Frego , Marco Roveri

Populations of self-propelled mobile agents - animal groups, robot swarms or crowds of people - that exchange information with their surrounding, host fascinating cooperative behaviors. While in many situations of interest the agents motion…

Physics and Society · Physics 2019-01-28 Demian Levis , Albert Diaz-Guilera , Ignacio Pagonabarraga , Michele Starnini

Different pathogens spreading in the same host population often generate complex co-circulation dynamics because of the many possible interactions between the pathogens and the host immune system, the host life cycle, and the space…

Populations and Evolution · Quantitative Biology 2014-12-18 Chiara Poletto , Sandro Meloni , Ashleigh Van Metre , Vittoria Colizza , Yamir Moreno , Alessandro Vespignani

The recent zoonotic coronavirus virus outbreak of a novel type [COVID 19] has necessitated the adequate understanding of the evolutionary pathway of zoonotic viruses which adversely affects human populations for therapeutic constructs to…

Other Quantitative Biology · Quantitative Biology 2020-05-07 Adejoke Olukayode Obajuluwa , Pius Abimbola Okiki , Tiwalola Madoc Obajuluwa , Olakunle Bamikole Afolabi

While most existing epidemic models focus on the influence of isolated factors, infectious disease transmission is inherently shaped by the complex interplay of multiple interacting elements. To better capture real-world dynamics, it is…

Physics and Society · Physics 2025-04-18 Guangyuan Mei , Yao Cai , Su-Su Zhang , Ying Huang , Chuang Liu , Xiu-Xiu Zhan

The ongoing Coronavirus disease 2019 (COVID-19) is a major crisis that has significantly affected the healthcare sector and global economies, which made it the main subject of various fields in scientific and technical research. To properly…

Dynamical Systems · Mathematics 2021-01-05 Driss Kiouach , Salim El Azami El-idrissi , Yassine Sabbar

In this paper, we propose a realistic mathematical model taking into account the mutual interference among the interacting populations. This model attempts to describe the control (vaccination) function as a function of the number of…

Neural and Evolutionary Computing · Computer Science 2016-11-18 V. Sree Hari Rao , M. Naresh Kumar

In this paper, we derive a kinetic description of swarming particle dynamics in an interacting multi-agent system featuring emerging leaders and followers. Agents are classically characterized by their position and velocity plus a…

Mathematical Physics · Physics 2024-09-30 Emiliano Cristiani , Nadia Loy , Marta Menci , Andrea Tosin

The complexities involved in modelling the transmission dynamics of COVID-19 has been a roadblock in achieving predictability in the spread and containment of the disease. In addition to understanding the modes of transmission, the…

Physics and Society · Physics 2021-09-28 Ayan Paul , Jayanta Kumar Bhattacharjee , Akshay Pal , Sagar Chakraborty

We propose a system theoretic approach to select and stabilize the endemic equilibrium of an SIRS epidemic model in which the decisions of a population of strategically interacting agents determine the transmission rate. Specifically, the…

Dynamical Systems · Mathematics 2022-01-26 Nuno C. Martins , Jair Certorio , Richard J. La

In this work, we derive a system of Boltzmann-type equations to describe the spread of SARS-CoV-2 virus at the microscopic scale, that is by modeling the human-to-human mechanisms of transmission. To this end, we consider two populations,…

Populations and Evolution · Quantitative Biology 2024-02-09 Marzia Bisi , Silvia Lorenzani

The Covid-19 pandemic has taken millions of lives, demonstrating the tragedy and disruption of respiratory diseases, and how difficult they can be to manage. However, there is still significant debate in the scientific community as to which…

Dynamical Systems · Mathematics 2021-09-03 Panagiotis Demis , Ishanki De Mel , Hayley Wragg , Michael Short , Oleksiy V. Klymenko
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