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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…

综合数学 · 数学 2025-10-14 Arhonefe Joseph Ogethakpo , Sunday Amaju Ojobor

We consider the dynamics of spatial stochastic May-Leonard models with mutual predation interactions of equal strength between any two individuals of different species. Using two-dimensional simulations, with two and three pecies, we…

种群与进化 · 定量生物学 2019-07-25 P. P. Avelino , B. F. de Oliveira

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…

种群与进化 · 定量生物学 2015-02-19 Manon Costa , Céline Hauzy , Nicolas Loeuille , Sylvie Méléard

A cubic discrete coupled logistic equation is proposed to model the predator-prey problem. The coupling depends on the population size of both species and on a positive constant $\lambda$, which could depend on the prey reproduction rate…

混沌动力学 · 物理学 2007-05-23 Ricardo Lopez-Ruiz , Daniele Fournier-Prunaret

We compare and contrast the long-time dynamical properties of two individual-based models of biological coevolution. Selection occurs via multispecies, stochastic population dynamics with reproduction probabilities that depend nonlinearly…

种群与进化 · 定量生物学 2011-11-10 Per Arne Rikvold

We review recent work aimed at modeling species extinction over geological time. We discuss a number of models which, rather than dealing with the direct causes of particular extinction events, attempt to predict overall statistical trends,…

adap-org · 物理学 2015-06-30 M. E. J. Newman , R. G. Palmer

We investigate the impact of parity on the abundance of weak species in the context of the simplest generalization of the rock-paper-scissors model to an arbitrary number of species -- we consider models with a total number of species…

种群与进化 · 定量生物学 2021-07-12 P. P. Avelino , B. F. de Oliveira , R. S. Trintin

Animals form groups for many reasons but there are costs and benefit associated with group formation. One of the benefits is collective memory. In groups on the move, social interactions play a crucial role in the cohesion and the ability…

定量方法 · 定量生物学 2014-03-24 Giancarlo De Luca , Patrizio Mariani , Brian R. MacKenzie , Matteo Marsili

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…

统计力学 · 物理学 2024-05-09 Uwe C. Täuber

The goal of this paper is to investigate an instance of the tragedy of the commons in spatially distributed harvesting games. The model we choose is that of a fishes' population that is governed by a parabolic bistable equation and that…

偏微分方程分析 · 数学 2023-03-06 Ziad Kobeissi , Idriss Mazari-Fouquer , Domenec Ruiz-Balet

We analyse the dynamics of fishing vessels with different home ports in an area where these vessels, in choosing where to fish, are influenced by their own experience in the past and by their current observation of the locations of other…

物理与社会 · 物理学 2021-02-25 José Moran , Antoine Fosset , Alan Kirman , Michael Benzaquen

This paper is devoted to investigating the effects and biological consequences of the predator-mediated apparent competition based on a two prey species (one is native and the other is invasive) and one predator model with Holling type I…

种群与进化 · 定量生物学 2025-02-04 Yuan Lou , Weirun Tao , Zhi-An Wang

Predator-prey relationships are one of the most studied interactions in population ecology. However, little attention has been paid to the possibility of role exchange between species once determined as predators and preys, despite firm…

种群与进化 · 定量生物学 2014-10-31 Faustino Sánchez-Garduño , Pedro Miramontes , Tatiana T. Marquez-Lago

In nature self-organized systems as flock of birds, school of fishes or herd of sheeps have to deal with the presence of external agents such as predators or leaders which modify their internal dynamic. Such situations take into account a…

生物物理 · 物理学 2012-10-15 Giacomo Albi , Lorenzo Pareschi

Artificial ecosystems provide an additional experimental tool to support laboratory work, field work, and theoretical development in competitive exclusion research. A novel application of a spatiotemporal agent based model is presented…

种群与进化 · 定量生物学 2023-06-01 John C. Stevenson

We present two models of perpetrators' decision-making in extracting resources from a protected area. It is assumed that the authorities conduct surveillance to counter the extraction activities, and that perpetrators choose their…

最优化与控制 · 数学 2020-03-04 Elliot Cartee , Alexander Vladimirsky

Mimicry is a resemblance between species that benefits at least one of the species. It is a ubiquitous evolutionary phenomenon particularly common among prey species, in which case the advantage involves better protection from predation. We…

种群与进化 · 定量生物学 2011-08-09 Alexey Mikaberidze , Masudul Haque

Mutual interference and prey refuge are important drivers of predator-prey dynamics. The "exponent" or degree of mutual interference has been under much debate in theoretical ecology. In the present work, we investigate the interplay of the…

动力系统 · 数学 2021-09-13 Kwadwo Antwi-Fordjour , Rana D. Parshad , Matthew A. Beauregard

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.…

种群与进化 · 定量生物学 2019-02-12 Sebastian J. Schreiber , Swati Patel

Encouraged by decision makers' appetite for future information on topics ranging from elections to pandemics, and enabled by the explosion of data and computational methods, model based forecasts have garnered increasing influence on a…

应用统计 · 统计学 2022-07-22 Carl Boettiger