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Univariate zero-inflated models are increasingly being used to account for excess zeros in spatio-temporal infectious disease counts. However, the multivariate case is challenging due to the need to account for correlations across space,…

Experiments, in particular on biological systems, typically probe lower-dimensional observables which are projections of high-dimensional dynamics. In order to infer consistent models capturing the relevant dynamics of the system, it is…

Statistical Mechanics · Physics 2025-11-18 Xizhu Zhao , Dmitrii E. Makarov , Aljaž Godec

Competition between parasitoids can reduce the success of pest control in biological programs using two species as bio-control agents or when multiple species exploit the same host crop. Parasitoid foraging behavior and the ability to…

Populations and Evolution · Quantitative Biology 2023-11-01 Idemauro Antonio Rodrigues de Lara , Gabriel Rodrigues Palma , Victor José Bon , Carolina Reigada , Rafael de Andrade Moral

Markov-switching models are a powerful tool for modelling time series data that are driven by underlying latent states. As such, they are widely used in behavioural ecology, where discrete states can serve as proxies for behavioural modes…

Methodology · Statistics 2025-08-26 Jan-Ole Koslik

This book handles the fatty liver disease from the bio-statistical point of view . It discusses the disease process in the simple general form of health-disease-death multi-states model . Continuous Time Markov Chains are used to estimate…

Other Quantitative Biology · Quantitative Biology 2021-11-16 Iman Mohammed Attia Ebd-Elkhalik Abo-Elreesh

Infectious diseases are practically represented by models with multiple states and complex transition rules corresponding to, for example, birth, death, infection, recovery, disease progression, and quarantine. In addition, networks…

Disordered Systems and Neural Networks · Physics 2007-05-23 Naoki Masuda , Norio Konno

Infectious diseases in livestock are well-known to infect multiple hosts and persist through the combination of within- and between-host transmission pathways. Uncertainty remains about the epidemic consequences of the disease being…

Quantitative Methods · Quantitative Biology 2022-01-17 Nicolas C. Cardenas , Abagael L. Sykes , Francisco P. N. Lopes , Gustavo Machado

The emergence of cross species interactions at protein level is a part of molecular mechanisms that lead to parasitic diseases. Comprehensive modelling can capture such interactions and could be useful to understand their pathophysiology…

We study an epidemic model for a constant population by taking into account four compartments of the individuals characterizing their states of health. Each individual is in one of the compartments susceptible (S); incubated - infected yet…

Populations and Evolution · Quantitative Biology 2023-04-20 Teo Granger , Thomas M. Michelitsch , Michael Bestehorn , Alejandro P. Riascos , Bernard A. Collet

We investigate a model of a parasite population invading spatially distributed immobile hosts on a graph, which is a modification of the frog model. Each host has an unbreakable immunity against infection with a certain probability $1-p$…

Probability · Mathematics 2026-01-27 Sascha Franck

A penalized maximum likelihood estimation approach is proposed for discrete-time hidden Markov models where covariates affect the observed responses and serial dependence is considered. The proposed penalized maximum likelihood method…

Methodology · Statistics 2025-07-04 Luca Brusa , Fulvia Pennoni , Francesco Bartolucci , Romina Peruilh Bagolini

Motivated by applications in movement ecology, in this paper I propose a new class of integrated continuous-time hidden Markov models in which each observation depends on the underlying state of the process over the whole interval since the…

Methodology · Statistics 2019-10-01 Paul G Blackwell

Treatment switching is a common occurrence in the management of Multiple Sclerosis (MS), where patients transition across various disease-modifying therapies (DMTs) due to heterogeneous treatment responses, differences in disease…

Methodology · Statistics 2026-04-16 Beomchang Kim , Zongqi Xia , Priyam Das

We present a novel model that describes the within-host evolutionary dynamics of parasites undergoing antigenic variation. The approach uses a multi-type branching process with two types of entities defined according to their relationship…

Populations and Evolution · Quantitative Biology 2013-11-18 Gustavo Guerberoff , Fernando Alvarez-Valin

Mutualistic interactions, where individuals from different species can benefit from each other, are widespread across ecosystems. This study develops a general deterministic model of mutualism involving two populations, assuming that…

Populations and Evolution · Quantitative Biology 2026-02-26 Chloë Mian , Sylvain Billiard , Violaine Llaurens , Charline Smadi

Performance evaluation of nursing homes is usually accomplished by the repeated administration of questionnaires aimed at measuring the health status of the patients during their period of residence in the nursing home. We illustrate how a…

Applications · Statistics 2009-08-18 Francesco Bartolucci , Monia Lupparelli , Giorgio E. Montanari

The main aim to build models capable of simulating the spreading of infectious diseases is to control them. And along this way, the key to find the optimal strategy for disease control is to obtain a large number of simulations of disease…

Social and Information Networks · Computer Science 2022-04-22 Ting Wang , Gui-Yun Li , Xin-Hui Li , Chi-Chun Zhou , Yuan-Yuan Wang , Li-Juan Li , Yan-Ting Yang

The temporal dynamics of social interactions were shown to influence the spread of disease. Here, we model the conditions of progression and competition for several viral strains, exploring various levels of cross-immunity over temporal…

Physics and Society · Physics 2022-06-14 Alex Abbey , Yuval Shahar , Osnat Mokryn

The ordinary contact process is used to model the spread of a disease in a population. In this model, each infected individual waits an exponentially distributed time with parameter 1 before becoming healthy. In this paper, we introduce and…

Probability · Mathematics 2011-11-10 Erik I. Broman

We consider a branching model for a population of dividing cells infected by parasites. Each cell receives parasites by inheritance from its mother cell and independent contamination from outside the population. Parasites multiply randomly…

Probability · Mathematics 2009-08-05 Vincent Bansaye