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In ecology, foraging requires animals to expend energy in order to obtain resources. The cost of foraging can be reduced through kleptoparasitism, the theft of a resource that another individual has expended effort to acquire. Thus,…

Populations and Evolution · Quantitative Biology 2023-05-30 Debasish Bhattacharjee , Dipam Das , Santanu Acharjee , Tarini Kumar Dutta

Bird migration is an adaptive behavior ultimately aiming at optimizing survival and reproductive success. We propose an optimal switching model to study bird migration, where birds' migration behaviors can be efficiently modeled as…

Optimization and Control · Mathematics 2025-01-14 Jiawei Chu , King-Yeung Lam , Boyu Wang , Tong Wang

The critical properties of a simple prey-predator model are revisited. For some values of the control parameters, the model exhibits a line of directed percolation like transitions to a single absorbing state. For other values of the…

Statistical Mechanics · Physics 2009-11-07 Tibor Antal , Michel Droz , Adam Lipowski , Geza Odor

Predator prey interactions are one of ecology's central research themes, but with many interdisciplinary implications across the social and natural sciences. Here we consider an often-overlooked species in these interactions, namely…

Populations and Evolution · Quantitative Biology 2024-07-16 Sayantan Nag Chowdhury , Jeet Banerjee , Matjaž Perc , Dibakar Ghosh

The evolution of cooperative behaviour is studied in the deterministic version of the Prisoners' Dilemma on a two-dimensional lattice. The payoff parameter is set at the critical region $1.8 < b < 2.0$ , where clusters of cooperators are…

Nuclear Theory · Physics 2009-10-28 Zhen Cao , Rudolph C. Hwa

Coupled dynamical systems in ecology are known to respond to the seasonal forcing of their parameters with multiple dynamical behaviours, ranging from seasonal cycles to chaos. Seasonal forcing is predominantly modelled as a sine wave but…

Populations and Evolution · Quantitative Biology 2020-12-15 Alix M. C. Sauve , Rachel A. Taylor , Frédéric Barraquand

Critical transitions or regime shifts are sudden and unexpected changes in the state of an ecosystem, that are usually associated with dangerous levels of environmental change. However, recent studies show that critical transitions can also…

Populations and Evolution · Quantitative Biology 2019-08-16 Anna Vanselow , Sebastian Wieczorek , Ulrike Feudel

We study a spatial cyclic predator-prey model with an even number of species (for n=4, 6, and 8) that allows the formation of two defective alliances consisting of the even and odd label species. The species are distributed on the sites of…

Biological Physics · Physics 2008-01-21 Gyorgy Szabo , Attila Szolnoki , Gustavo Ariel Sznaider

We study the qualitative properties of population cycles in a predator-prey system where genetic variability allows contemporary rapid evolution of the prey. Previous numerical studies have found that prey evolution in response to changing…

Populations and Evolution · Quantitative Biology 2012-11-20 Laura E. Jones , Stephen P. Ellner

In this paper, we develop and analyze a model that studies the interaction between a specialist predator, a generalist predator, and their common prey in a two-trophic ecosystem featuring three timescales. We assume that the prey operates…

Dynamical Systems · Mathematics 2022-11-02 Susmita Sadhu

Intransitivity is a property of connected, oriented graphs representing species interactions that may drive their coexistence even in the presence of competition, the standard example being the three species Rock-Paper-Scissors game. We…

Populations and Evolution · Quantitative Biology 2013-02-19 Alessandra F. Lütz , Sebastián Risau-Gusman , Jeferson J. Arenzon

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

This paper investigates the large time behaviour of a three species reaction-diffusion system, modelling the spatial invasion of two predators feeding on a single prey species. In addition to the competition for food, the two predators…

Analysis of PDEs · Mathematics 2020-07-07 Arnaud Ducrot , Thomas Giletti , Jong-Shenq Guo , Masahiko Shimojo

This paper investigates the dynamical behaviors of a Holling type I Leslie-Gower predator-prey model where the predator exhibits an Allee effect and is subjected to constant harvesting. The model demonstrates three types of equilibrium…

Dynamical Systems · Mathematics 2025-04-03 Jianhang Xie , Changrong Zhu

In freshwater ecosystems, aquatic insects that ontogenetically shift their habitat from aquatic to terrestrial play vital roles as prey subsidies that move nutrients and energy from aquatic to terrestrial food webs. As a result, these…

Populations and Evolution · Quantitative Biology 2023-03-15 Amit Samadder , Arnab Chattopadhyay , Sabyasachi Bhattacharya

In contrast to the neutral population cycles of the deterministic mean-field Lotka--Volterra rate equations, including spatial structure and stochastic noise in models for predator-prey interactions yields complex spatio-temporal structures…

Populations and Evolution · Quantitative Biology 2013-10-16 Ulrich Dobramysl , Uwe C. Tauber

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

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…

Populations and Evolution · Quantitative Biology 2011-11-10 Per Arne Rikvold

We introduce an Interaction and Trade-off based Eco-Evolutionary Model (ITEEM), in which species are competing for common resources in a well-mixed system, and their evolution in interaction trait space is subject to a life-history…

Populations and Evolution · Quantitative Biology 2018-09-07 Farnoush Farahpour , Mohammadkarim Saeedghalati , Verena Brauer , Daniel Hoffmann

Dispersal between different habitats influences the dynamics and stability of populations considerably. Furthermore, these effects depend on the local interactions of a population with other species. Here, we perform a general and…

Biological Physics · Physics 2016-03-18 Philipp Gramlich , Sebastian J. Plitzko , Lars Rudolf , Barbara Drossel , Thilo Gross
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