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We consider epidemic and ecological models to investigate their coupled dynamics. Starting with the classical Susceptible-Infected-Recovered (SIR) model for basic epidemic behavior and the predator-prey (Lotka-Volterra, LV) system for…

Numerical Analysis · Mathematics 2026-01-16 Maria Vasilyeva , Zheng Wei , Kelum Gajamannage , Hyangim Ji , Aleksei Krasnikov , Alexey Sadovski

The internal behaviour of a population is an important feature to take account of when modelling their dynamics. In line with kin selection theory, many social species tend to cluster into distinct groups in order to enhance their overall…

Methodology · Statistics 2023-11-02 Blake McGrane-Corrigan , Oliver Mason , Rafael de Andrade Moral

We are interested in the impact of natural selection in a prey-predator community. We introduce an individual-based model of the community that takes into account both prey and predator phenotypes. Our aim is to understand the phenotypic…

Populations and Evolution · Quantitative Biology 2015-02-19 Manon Costa , Céline Hauzy , Nicolas Loeuille , Sylvie Méléard

In an ecological context, panel data arise when time series measurements are made on a collection of ecological processes. Each process may correspond to a spatial location for field data, or to an experimental ecosystem in a designed…

Applications · Statistics 2025-06-10 Bo Yang , Jesse Wheeler , Meghan A. Duffy , Aaron A. King , Edward L. Ionides

We explore the complex dynamical behavior of simple predator-prey models of biological coevolution that account for interspecific and intraspecific competition for resources, as well as adaptive foraging behavior. In long kinetic Monte…

Populations and Evolution · Quantitative Biology 2009-10-26 Per Arne Rikvold

We are interested in modeling some two-level population dynamics, resulting from the interplay of ecological interactions and phenotypic variation of individuals (or hosts) and the evolution of cells (or parasites) of two types living in…

Probability · Mathematics 2011-01-21 Sylvie Méléard , Sylvie Roelly

Stochastic, spatially extended models for predator-prey interaction display spatio-temporal structures that are not captured by the Lotka-Volterra mean-field rate equations. These spreading activity fronts reflect persistent correlations…

Statistical Mechanics · Physics 2024-05-09 Uwe C. Täuber

Dryland vegetation can survive water stress by forming spatial patterns but is often subjected to herbivory as an additional stress that puts it at risk of desertification. Understanding the mutual relationships between vegetation…

Populations and Evolution · Quantitative Biology 2026-02-17 Joydeep Singha , Hannes Uecker , Ehud Meron

Plant-frugivore interactions play a central role for plant persistence and spatial distribution by promoting the long-range dispersal of seeds by frugivores. However, plant-frugivore interactions are increasingly being threatened by…

Populations and Evolution · Quantitative Biology 2023-09-06 Mozzamil Mohammed , Åke Brännström , Pietro Landi , Ulf Dieckmann

We introduce a model of traveling agents ({\it e.g.} frugivorous animals) who feed on randomly located vegetation patches and disperse their seeds, thus modifying the spatial distribution of resources in the long term. It is assumed that…

Populations and Evolution · Quantitative Biology 2015-05-13 D. Boyer , O. López-Corona

The transient behavior of an ecosystem with N random interacting species in the presence of a multiplicative noise is analyzed. The multiplicative noise mimics the interaction with the environment. We investigate different asymptotic…

Statistical Mechanics · Physics 2009-11-10 B. Spagnolo , D. Valenti , A. Fiasconaro

We consider a couple of models for the dynamics of the populations of two interacting species, inspired by Lotka-Volterra's classical equations. The novelty of this work is that the interaction terms are non local and the interaction occurs…

Populations and Evolution · Quantitative Biology 2022-09-21 Mario I. Simoy , Marcelo N. Kuperman

This paper dwells on certain novel game-theoretic investigations in bio-mimicry, discussed from the perspectives of information asymmetry, individual utility and its optimization via strategic interactions involving co-evolving preys (e.g.,…

Populations and Evolution · Quantitative Biology 2021-04-28 Inavamsi Enaganti , Bud Mishra

Improved monitoring and associated inferential tools to efficiently identify declining bird populations, particularly of rare or sparsely distributed species, is key to informed conservation and management across large spatio-temporal…

Populations and Evolution · Quantitative Biology 2021-09-07 Jeffrey W. Doser , Aaron S. Weed , Elise F. Zipkin , Kathryn M. Miller , Andrew O. Finley

Transitions to absorbing states are of fundamental importance in non-equilibrium physics as well as ecology. In ecology, absorbing states correspond to the extinction of species. We here study the spatial population dynamics of three…

Populations and Evolution · Quantitative Biology 2014-05-27 Steffen Rulands , Alejandro Zielinski , Erwin Frey

Identifying undocumented or potential future interactions among species is a challenge facing modern ecologists. Recent link prediction methods rely on trait data, however large species interaction databases are typically sparse and…

Applications · Statistics 2019-09-23 Mohamad Elmasri , Maxwell J. Farrell , T. Jonathan Davies , David A. Stephens

We model evolution of plants in a world, made up of different locations, with multiple environments (mutually exclusive and collectively exhaustive subsets of locations). Each environment (landmass) has temperature, rainfall, and other…

Populations and Evolution · Quantitative Biology 2019-05-27 Alexander , Khazatsky , Albert Yu , Zihao Zhao , Gabe Zuckerman

We construct two ordinary-differential-equation models of a predator feeding adaptively on two prey types, and we evaluate the models' ability to fit data on freshwater plankton. We model the predator's switch from one prey to the other in…

Dynamical Systems · Mathematics 2018-09-19 Sofia H. Piltz , Lauri Harhanen , Mason A. Porter , Philip K. Maini

Antipredator behaviour is a self-preservation strategy present in many biological systems, where individuals join the effort in a collective reaction to avoid being caught by an approaching predator. We study a nonhierarchical tritrophic…

Populations and Evolution · Quantitative Biology 2022-12-29 J. Menezes , S. Batista , M. Tenorio , E. A. Triaca , B. Moura

Explaining biodiversity in nature is a fundamental problem in ecology. An outstanding challenge is embodied in the so-called Competitive Exclusion Principle: two species competing for one limiting resource cannot coexist at constant…

Populations and Evolution · Quantitative Biology 2020-04-13 Xin Wang , Yang-Yu Liu