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We introduce a mathematical model of symbiosis between different species by taking into account the influence of each species on the carrying capacities of the others. The modeled entities can pertain to biological and ecological societies…

Biological Physics · Physics 2012-06-06 V. I. Yukalov , E. P. Yukalova , D. Sornette

Models of disease spreading are critical for predicting infection growth in a population and evaluating public health policies. However, standard models typically represent the dynamics of disease transmission between individuals using…

Physics and Society · Physics 2022-06-07 Christopher A. Browne , Daniel B. Amchin , Joanna Schneider , Sujit S. Datta

Biological cells are the prototypical example of active matter. Cells sense and respond to mechanical, chemical and electrical environmental stimuli with a range of behaviors, including dynamic changes in morphology and mechanical…

Computational Engineering, Finance, and Science · Computer Science 2017-02-28 Endre Somogyi , James A. Glazier

Bacteria can spontaneously develop collective motions by aligning their motions in dense systems. Here, we show that bacteria can also respond collectively to an alternating electrical field and form dynamic clusters oscillating at the same…

Soft Condensed Matter · Physics 2022-10-11 Mei Mei Bao , Isaiah Eze Igwe , Kang Chen , Tian Hui Zhang

Emerging infectious diseases and climate change are two of the major challenges in 21st century. Although over the past decades, highly-resolved mathematical models have contributed in understanding dynamics of infectious diseases and are…

Populations and Evolution · Quantitative Biology 2025-10-13 Julia Bicker , René Schmieding , Michael Meyer-Hermann , Martin J. Kühn

Joint species distribution models are popular in ecology for modeling covariate effects on species occurrence, while characterizing cross-species dependence. Data consist of multivariate binary indicators of the occurrences of different…

Methodology · Statistics 2025-07-08 Federica Stolf , David B. Dunson

Bacteriophages are central to microbial ecosystems for balancing bacterial populations and promoting evolution by applying strong selection pressure. Here we review some of the known aspects that modulate phage-bacteria interaction in a way…

Populations and Evolution · Quantitative Biology 2023-04-12 Namiko Mitarai , Anastasios Marantos , Kim Sneppen

Understanding the interplay between human behavioral phenomena and infectious disease dynamics has been one of the central challenges of mathematical epidemiology. However, socio-cognitive processes critical for the initiation of desired…

Physics and Society · Physics 2024-01-01 Qingchu Wu , Tarik Hadzibeganovic , Xiao-Pu Han

With the rise of computers, simulation models have emerged beside the more traditional statistical and mathematical models as a third pillar for ecological analysis. Broadly speaking, a simulation model is an algorithm, typically…

Populations and Evolution · Quantitative Biology 2018-12-24 Florian Hartig

Biomolecular condensates constitute a newly recognized form of spatial organization in living cells. Although many condensates are believed to form as a result of phase separation, the physicochemical properties that determine the phase…

Biological Physics · Physics 2023-07-11 William M. Jacobs

Population dynamics deals with the collective phenomena of living organisms, and it has attracted much attention since it is expected to explain how not only living organisms but also human beings have been adapted to varying environments.…

Statistical Mechanics · Physics 2019-04-23 Hideyuki Miyahara

The spreading dynamics of an epidemic and the collective behavioral pattern of the population over which it spreads are deeply intertwined and the latter can critically shape the outcome of the former. Motivated by this, we design a…

Populations and Evolution · Quantitative Biology 2021-08-25 Mengbin Ye , Lorenzo Zino , Alessandro Rizzo , Ming Cao

We consider a new approach to the description of the collective behavior of complex systems of mathematical biology based on the evolution equations for observables of such systems. This representation of the kinetic evolution seems, in…

Soft Condensed Matter · Physics 2020-07-07 V. I. Gerasimenko

Nowadays, multiscale modelling is recognized as the most suitable way to study biological processes. Indeed, almost every phenomenon in nature exhibits a multiscale behaviour, i.e., it is the outcome of interactions that occur at different…

Formal Languages and Automata Theory · Computer Science 2011-08-18 Federico Buti , Massimo Callisto De Donato , Flavio Corradini , Emanuela Merelli , Luca Tesei

Antagonistic coevolution between hosts and parasites can have a major impact on host population structures, and hence on the evolution of social traits. Using stochastic modelling techniques in the context of bacteria-virus interactions, we…

Populations and Evolution · Quantitative Biology 2012-10-09 Benjamin J. Z. Quigley , Diana García López , Angus Buckling , Alan J. McKane , Sam P. Brown

Microbes providing public goods are widespread in nature despite running the risk of being exploited by free-riders. However, the precise ecological factors supporting cooperation are still puzzling. Following recent experiments, we…

Populations and Evolution · Quantitative Biology 2012-03-28 Jonas Cremer , Anna Melbinger , Erwin Frey

An organism that is newly introduced into an existing population has a survival probability that is dependent on both the population density of its environment and the competition it experiences with the members of that population.…

Populations and Evolution · Quantitative Biology 2024-12-17 Jason M. Gray , Rowan J. Barker-Clarke , Jacob G. Scott , Michael Hinczewski

The coexistence between different informational molecules has been the preferred mode to circumvent the limitation posed by imperfect replication on the amount of information stored by each of these molecules. Here we reexamine a classic…

Populations and Evolution · Quantitative Biology 2009-11-13 Daniel A. M. M. Silvestre , Jose F. Fontanari

A novel predictive modeling framework for the spread of infectious diseases using high dimensional partial differential equations is developed and implemented. A scalar function representing the infected population is defined on a…

Populations and Evolution · Quantitative Biology 2020-07-06 Sashikumaar Ganesan , Deepak Subramani

Personalized models of the gut microbiome are valuable for disease prevention and treatment. For this, one requires a mathematical model that predicts microbial community composition and the emergent behavior of microbial communities. We…

Populations and Evolution · Quantitative Biology 2019-10-29 James D. Brunner , Nicholas Chia
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