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We study diffusion on a multilayer network where the contact dynamics between the nodes is governed by a random process and where the waiting time distribution differs for edges from different layers. We study the impact on a random walk of…

Physics and Society · Physics 2018-12-18 Martin Gueuning , Sibo Cheng , Renaud Lambiotte , Jean-Charles Delvenne

We propose a reaction--diffusion model of predator--prey interaction in which the predators occupy only a subset of the prey's territory, leaving a predator-free exclusion zone. Ecological examples include marine protected areas where it is…

Analysis of PDEs · Mathematics 2026-04-10 Henri Berestycki , William F. Fagan , Alex Safsten

Phenotypic plasticity is a key factor in driving the evolution of species in the predator-prey interaction. The natural environment is replete with phenotypic plasticity, which is the source of inducible defences against predators,…

Populations and Evolution · Quantitative Biology 2024-11-19 Sangeeta Saha , Swadesh Pal , Roderick Melnik

Eco-evolutionary frameworks can explain certain features of communities in which ecological and evolutionary processes occur over comparable timescales. Here, we investigate whether an evolutionary dynamics may interact with the spatial…

Populations and Evolution · Quantitative Biology 2019-12-04 Eduardo H. Colombo , Ricardo Martínez-García , Cristóbal , López , Emilio Hernández-García

In bio-social models, cooperative behaviour has evolved as an adaptive strategy, playing multi-functional roles. One of such roles in populations is to increase the success of survival and reproduction of individuals and their families or…

Dynamical Systems · Mathematics 2024-06-18 Sangeeta Saha , Swadesh Pal , Roderick Melnik

Spatiotemporal patterns are often modeled using reaction-diffusion equations, which combine complex reactions between constituents with ideal diffusive motion. Such descriptions neglect physical interactions between constituents, which…

Biological Physics · Physics 2023-06-09 Chengjie Luo , David Zwicker

In ecology, prey switching refers to a predator's adaptive change of habitat or diet in response to prey abundance. In this paper, we study piecewise-smooth models of predator-prey interactions with a linear trade-off in a predator's prey…

Populations and Evolution · Quantitative Biology 2016-10-26 S. H. Piltz , M. A. Porter , P. K. Maini

This paper reveals some new and rich dynamics of a two-dimensional prey-predator system and to anticontrol the extinction of one of the species. For a particular value of the bifurcation parameter, one of the system variable dynamics is…

Chaotic Dynamics · Physics 2019-10-02 Marius-F. Danca , Michal Feckan , Nikolay Kuznetsov , Guanrong Chen

Drawing on the understanding of the logistic map, we propose a simple predator-prey model where predators and prey adapt to each other, leading to the co-evolution of the system. The special dynamics observed in periodic windows contribute…

Populations and Evolution · Quantitative Biology 2024-10-03 Misha Chai , Holger Kantz

A prey animal surveying its environment must decide whether there is a dangerous predator present or not. If there is, it may flee. Flight has an associated cost, so the animal should not flee if there is no danger. However, the prey animal…

Populations and Evolution · Quantitative Biology 2011-04-20 Joel Zylberberg , Michael R. DeWeese

Spatial many-species predator-prey systems have been shown to yield very rich space-time patterns. This observation begs the question whether there exist universal mechanisms for generating this type of emerging complex patterns in…

Statistical Mechanics · Physics 2019-06-18 Barton L. Brown , Hildegard Meyer-Ortmanns , Michel Pleimling

We study a spatial (two-dimensional) Rosenzweig-MacArthur model under the following assumptions: $(1)$ prey movement follows a nonlinear diffusion, $(2)$ preys have a refuge zone (sometimes called "protection zone") where predators cannot…

Analysis of PDEs · Mathematics 2020-10-21 Leoncio Rodriguez Quinones , Jia Zhao , Luis Gordillo

In the present article, we demonstrate the emergence and existence of the spiral wave chimera-like transient pattern in coupled ecological systems, composed of prey-predator patches, where the patches are connected in a three-dimensional…

Adaptation and Self-Organizing Systems · Physics 2022-08-02 Bidesh K. Bera , Srilena Kundu , Paulsamy Muruganandam , Dibakar Ghosh , M. Lakshmanan

We investigate the dynamics of dual disease epidemics within the spatial rock-paper-scissors model. In this framework, individuals from all species are equally susceptible to infection by two distinct pathogens transmitted via…

Populations and Evolution · Quantitative Biology 2025-05-13 J. Menezes , R. Menezes , S. Batista , E. Rangel

Foraging movements of predator play an important role in population dynamics of prey-predator interactions, which have been considered as mechanisms that contribute to spatial self-organization of prey and predator. In nature, there are…

Dynamical Systems · Mathematics 2015-05-15 Yun Kang , Sourav Kumar Sasmal , Komi Messan

The concept of a rapid spread of self-replicating interstellar probes (SRPs) throughout the Milky Way adds considerable strength to Fermi's Paradox. A single civilisation creating a single SRP is sufficient for a fleet of SRPs to grow and…

Popular Physics · Physics 2019-11-20 Duncan H. Forgan

We propose a minimal model of predator-swarm interactions which captures many of the essential dynamics observed in nature. Different outcomes are observed depending on the predator strength. For a "weak" predator, the swarm is able to…

Adaptation and Self-Organizing Systems · Physics 2014-03-14 Yuxin Chen , Theodore Kolokolnikov

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…

Populations and Evolution · Quantitative Biology 2021-07-12 P. P. Avelino , B. F. de Oliveira , R. S. Trintin

The use of predator-prey models in theoretical ecology has a long history, and the model equations have largely evolved since the original Lotka-Volterra system towards more realistic descriptions of the processes of predation, reproduction…

Populations and Evolution · Quantitative Biology 2021-09-21 Deeptajyoti Sen , Andrew Morozov , S. Ghorai , Malay Banerjee

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,…

Biological Physics · Physics 2024-06-04 Dipanjan Chakraborty , Arkayan Laha , Rumi De