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We study the interplay between epidemic dynamics and human decision making for epidemics that involve reinfection risk; in particular, the susceptible-infected-susceptible (SIS) and the susceptible-infected-recovered-infected (SIRI)…

Systems and Control · Electrical Eng. & Systems 2023-05-31 Abhisek Satapathi , Narendra Kumar Dhar , Ashish R. Hota , Vaibhav Srivastava

The problems of observability and identifiability have been of great interest as previous steps to estimating parameters and initial conditions of dynamical systems to which some known data (observations) are associated. While most works…

Dynamical Systems · Mathematics 2025-06-16 Alicja B Kubik , Benjamin Ivorra , Alain Rapaport , Ángel M Ramos

The broad application range of the predator-prey modelling enabled us to apply it to represent the dynamics of the work-employment system. For the adopted period, we conclude that this dynamics is chaotic in the beginning of the time series…

Computational Engineering, Finance, and Science · Computer Science 2011-03-21 Nilo Serpa , Jose Roberto Steiner

This paper introduces a novel hybrid model combining Partial Differential Equations (PDEs) and Ordinary Differential Equations (ODEs) to simulate infectious disease dynamics across geographic regions. By leveraging the spatial detail of…

Dynamical Systems · Mathematics 2025-11-18 Kristina Kehrer , Martin Weiser , Tim Conrad

We propose an epidemic model for the spread of vector-borne diseases. The model, which is built extending the classical susceptible-infected-susceptible model, accounts for two populations -- humans and vectors -- and for cross-contagion…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Lorenzo Zino , Alessandro Casu , Alessandro Rizzo

The Susceptible-Infected-Susceptible model is a canonical model for emerging disease outbreaks. Such outbreaks are naturally modeled as taking place on networks. A theoretical challenge in network epidemiology is the dynamic correlations…

Physics and Society · Physics 2016-06-29 Chao-Ran Cai , Zhi-Xi Wu , Michael Z. Q. Chen , Petter Holme , Jian-Yue Guan

The adoption of prophylaxis attitudes, such as social isolation and use of face masks, to mitigate epidemic outbreaks strongly depends on the support of the population. In this work, we investigate a susceptible-infected-recovered (SIR)…

Physics and Society · Physics 2022-10-05 Diogo H. Silva , Celia Anteneodo , Silvio C. Ferreira

One of the popular dynamics on complex networks is the epidemic spreading. An epidemic model describes how infections spread throughout a network. Among the compartmental models used to describe epidemics, the…

Physics and Society · Physics 2011-07-14 Faryad Darabi Sahneh , Caterina Scoglio

Recent progress in diverse intelligence has shown simple learning capacities below the organism level - single cells and even molecular networks. However, there are still many knowledge gaps around learning capacity above the organism…

Populations and Evolution · Quantitative Biology 2026-05-29 Adrita Samanta , Hananel Hazan , Michael Levin

Highly-interconnected societies difficult to model the spread of infectious diseases such as COVID-19. Single-region SIR models fail to account for incoming forces of infection and expanding them to a large number of interacting regions…

Machine Learning · Computer Science 2023-11-06 Adrian Rojas-Campos , Lukas Stelz , Pascal Nieters

The duration, type and structure of connections between individuals in real-world populations play a crucial role in how diseases invade and spread. Here, we incorporate the aforementioned heterogeneities into a model by considering a…

Physics and Society · Physics 2018-04-05 Rosanna C Barnard , Istvan Z Kiss , Luc Berthouze , Joel C Miller

Ecology and evolution are inseparable. Motivated by some recent experiments, we have developed models of evolutionary ecology from the perspective of dynamic networks. In these models, in addition to the intra-node dynamics, which…

Populations and Evolution · Quantitative Biology 2009-11-10 Debashish Chowdhury , Dietrich Stauffer

The forces which drive growth, development, survival and change within an ecological system involving a predator and prey specie are not easily addressed in the field. To better understand the dynamics in the system, ecologists have turned…

General Mathematics · Mathematics 2025-10-14 Arhonefe Joseph Ogethakpo , Sunday Amaju Ojobor

This paper presents a detailed mathematical investigation into the dynamics of COVID-19 infections through extended Susceptible-Infected-Recovered (SIR) and Susceptible-Exposed-Infected-Recovered (SEIR) epidemiological models. By…

Populations and Evolution · Quantitative Biology 2025-05-21 Caleb Traxler , Minh Ton , Nameer Ahmed , Sasha Prostota , Annie Cheng

To better predict the dynamics of epidemics such as COVID-19, it is important not only to investigate the network of local and long-range contagious contacts but also to understand the temporal dynamics of infectiousness and detectable…

Populations and Evolution · Quantitative Biology 2025-09-03 Miguel A. Cajahuanca Ricaldi , Yaroslav Ispolatov

The study of ecological systems is gaining momentum in modern scientific research, driven by an abundance of empirical data and advancements in bioengineering techniques. However, a full understanding of their dynamical and thermodynamical…

Populations and Evolution · Quantitative Biology 2025-03-05 Ada Altieri

Predators often consume multiple prey and by mutually subsidizing a shared predator, the prey may reciprocally harm each other. When predation levels are high, this apparent competition can culminate in a prey species being displaced.…

Populations and Evolution · Quantitative Biology 2019-02-12 Sebastian J. Schreiber , Swati Patel

We propose an extension of the classical susceptible infectious recovered (SIR) model that incorporates the effects of spatial propagation of an epidemic through a small number of additional compartments. The model is designed to capture…

Numerical Analysis · Mathematics 2026-03-02 M. Soledad Aronna , Mariana Bergonzi , Ernesto Kofman

In this work, we aim to formalize a novel scientific machine learning framework to reconstruct the hidden dynamics of the transmission rate, whose inaccurate extrapolation can significantly impair the quality of the epidemic forecasts, by…

Quantitative Methods · Quantitative Biology 2024-10-16 Giovanni Ziarelli , Stefano Pagani , Nicola Parolini , Francesco Regazzoni , Marco Verani

We consider a nonautonomous eco-epidemiological model with general functions for predation on infected and uninfected preys as well as general functions associated to the vital dynamics of the susceptible prey and predator populations. We…

Dynamical Systems · Mathematics 2021-07-01 Lopo F. de Jesus , César M. Silva , Helder Vilarinho