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We develop a set of equations to describe the population dynamics of many interacting species in food webs. Predator-prey interactions are non-linear, and are based on ratio-dependent functional responses. The equations account for…

适应与自组织系统 · 物理学 2007-05-23 Barbara Drossel , Paul G. Higgs , Alan J. McKane

We perform individual-based Monte Carlo simulations in a community consisting of two predator species competing for a single prey species, with the purpose of studying biodiversity stabilization in this simple model system. Predators are…

种群与进化 · 定量生物学 2018-07-11 Sheng Chen , Ulrich Dobramysl , Uwe C. Täuber

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

We study a set of six-species ecological models where each species has two predators and two preys. On a square lattice the time evolution is governed by iterated invasions between the neighboring predator-prey pairs chosen at random and by…

种群与进化 · 定量生物学 2009-11-10 Gyorgy Szabo

Cyclic predator-prey models with four or six species are studied on a square lattice when the invasion rates are varied. It is found that the cyclic invasions maintain a self-organizing pattern as long as the deviation of the invasion…

种群与进化 · 定量生物学 2008-01-21 Gyorgy Szabo , Attila Szolnoki

Animal grouping behaviors have been widely studied due to their implications for understanding social intelligence, collective cognition, and potential applications in engineering, artificial intelligence, and robotics. An important…

种群与进化 · 定量生物学 2015-11-25 Randal S. Olson , David B. Knoester , Christoph Adami

We study a chemotaxis system that includes two competitive prey and one predator species in a two-dimensional domain, where the movement of prey (resp. predators) is driven by chemicals secreted by predators (resp. prey), called mutually…

偏微分方程分析 · 数学 2025-08-19 Cordula Reisch , Bao-Ngoc Tran , Juan Yang

The transition between strong and weak Allee effects in prey provides a simple regime shift in ecology. A deteriorating environment changes weak Allee effects into strong ones. In this paper, we study the interplay between the functional…

动力系统 · 数学 2020-07-15 Alessandro Arsie , Chanaka Kottegoda , Chunhua Shan

There are many positive and negative factors present in the predator-prey interaction which affect the net growth of the species. Fear of predation is one such factor that creates psychological stress in a prey species, which causes a…

种群与进化 · 定量生物学 2025-03-25 Sangeeta Saha , Swadesh Pal , Roderick Melnik

We propose a predator-prey model with an age-structured predator population that exhibits a functional role reversal. The structure of the predator population in our model embodies the ecological concept of an "ontogenetic niche shift," in…

种群与进化 · 定量生物学 2026-02-11 Luis Suarez , Maria K. Cameron , William F. Fagan , Doron Levy

We explore the complex dynamical behavior of two simple predator-prey models of biological coevolution that on the ecological level account for interspecific and intraspecific competition, as well as adaptive foraging behavior. The…

种群与进化 · 定量生物学 2009-11-28 Per Arne Rikvold

A two-type two-sex branching process is introduced with the aim of describing the interaction of predator and prey populations with sexual reproduction and promiscuous mating. In each generation and in each species the total number of…

种群与进化 · 定量生物学 2021-01-29 Cristina Gutierrez , Carmen Minuesa

We show, based on a theoretical model, how inertia plays a pivotal role in the survival dynamics of a prey swarm while chased by a predator. With the varying mass of the prey and predator, diverse escape patterns emerge, such as circling,…

生物物理 · 物理学 2024-06-04 Dipanjan Chakraborty , Arkayan Laha , Rumi De

Predator-prey models in theoretical ecology have a long and complex history, spanning decades of research. Most of the models rely upon simple reproduction and mortality rates associated with different types of functional responses. A key…

种群与进化 · 定量生物学 2025-03-04 Tanmay Das , Mahatsab Mandal

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

This paper examines a discrete predator-prey model that incorporates prey refuge and its detrimental impact on the growth of the prey population. Age structure is taken into account for predator species. Furthermore, juvenile hunting as…

种群与进化 · 定量生物学 2023-08-21 Debasish Bhattacharjee , Nabajit Ray , Dipam Das , Hemanta Kumar Sarmah

We study a modified version of a prey-predator system with modified Leslie-Gower and Holling type II functional response studied by M.A. Aziz-Alaoui and M. Daher-Okiye. The modification consists in incorporating a refuge for preys, and…

概率论 · 数学 2019-04-09 Safia Slimani , Paul Raynaud de Fitte , Islam Boussaada

In the current manuscript, we consider a predator-prey model where the predator is modeled as a generalist using a modified Leslie-Gower scheme, and the prey exhibits group defence via a generalised response. We show that the model could…

动力系统 · 数学 2023-06-27 Vaibhava Srivastava , Kwadwo Antwi-Fordjour , Rana D. Parshad

Ecological systems are complex dynamical systems. Modelling efforts on ecosystems' dynamical stability have revealed that population dynamics, being highly nonlinear, can be governed by complex fluctuations. Indeed, experimental and field…

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…

动力系统 · 数学 2018-09-19 Sofia H. Piltz , Lauri Harhanen , Mason A. Porter , Philip K. Maini