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Related papers: Multiple predator based capture process on complex…

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We study the capture of a diffusing "lamb" by diffusing "lions" in one dimension. The capture dynamics is exactly soluble by probabilistic techniques when the number of lions is very small, and is tractable by extreme statistics…

Statistical Mechanics · Physics 2009-10-31 S. Redner , P. L. Krapivsky

Systems composed of distinct complex networks are present in many real-world environments, from society to ecological systems. In the present paper, we propose a network model obtained as a consequence of interactions between two species…

Biological Physics · Physics 2007-08-08 Luis Enrique Correa da Rocha , Luciano da Fontoura Costa

We study the dynamical properties of a diffusing lamb captured by a diffusing lion on the complex networks with various sizes of $N$. We find that the life time <T>$ of a lamb scales as <T>\sim N$ and the survival probability $S(N\to…

Disordered Systems and Neural Networks · Physics 2009-11-11 Sungmin Lee , Soon-Hyung Yook , Yup Kim

Temporal networks have been increasingly used to model a diversity of systems that evolve in time; for example human contact structures over which dynamic processes such as epidemics take place. A fundamental aspect of real-life networks is…

Physics and Society · Physics 2017-11-08 Luis E C Rocha , Naoki Masuda , Petter Holme

Two density-dependent branching processes are considered to model predator-prey populations. For both models, preys are considered to be the main food supply of predators. Moreover, in each generation the number of individuals of each…

Probability · Mathematics 2024-07-01 Cristina Gutiérrez , Carmen Minuesa

The survival probability, S_N(t), of a diffusing prey (``lamb'') in the proximity of N diffusing predators (a ``pride of lions'') in one dimension is investigated. When the lions are all to one side of the lamb, the survival probability…

Condensed Matter · Physics 2009-10-28 P. L. Krapivsky , S. Redner

In light of the rise of malicious attacks on the Internet, and the various networks and applications attached to it, new approaches towards modeling predatory activity in networks could be useful. Past research has simulated networks…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sean P. Gorman , Rajendra G. Kulkarni , Laurie A. Schintler , Roger R. Stough

The survival chance of a prey chased by a predator depends not only on their relative speeds but importantly also on the local environment they have to face. For example, a wolf chasing a deer might take a long time to cross a river which…

Soft Condensed Matter · Physics 2021-03-23 Fabian Jan Schwarzendahl , Hartmut Löwen

Simulation of population dynamics is a central research theme in computational biology, which contributes to understanding the interactions between predators and preys. Conventional mathematical tools of this theme, however, are incapable…

Multiagent Systems · Computer Science 2020-02-11 Jun Yamada , John Shawe-Taylor , Zafeirios Fountas

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…

Populations and Evolution · Quantitative Biology 2021-01-29 Cristina Gutierrez , Carmen Minuesa

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

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

This article adopts game theory to build a model for explaining the predation behavior of animals.We assume that both the prey and the preydator have two stratigies in this game,the active one and the passive one.By calculating the outcome…

Populations and Evolution · Quantitative Biology 2007-05-23 Shi Chen , Sheng Bao , Ling Yan , Cheng Huang

Simulations of the coevolution of many interacting species are performed using the Webworld model. The model has a realistic set of predator-prey equations that describe the population dynamics of the species for any structure of the food…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Christopher Quince , Paul G. Higgs , Alan J. McKane

We study the degree of success of a single predator hunting a herd of prey on a two dimensional square lattice landscape. We explicitly consider the self volume of the prey restraining their dynamics on the lattice. The movement of both…

Populations and Evolution · Quantitative Biology 2016-10-05 M. Schwarzl , A. Godec , G. Oshanin , R. Metzler

Attractant-based trap networks targeting insects are ubiquitous worldwide. These networks have diverse targets, goals, and efficiencies, but all are constrained by practical considerations like cost and available lures. An important way to…

Quantitative Methods · Quantitative Biology 2021-10-25 Nicholas C Manoukis , Matthew P. Hill

We proposed a three-species food chain model with hunting co-operation among the middle predator. In this model, third species prey on the middle species and the middle prey on the first species. The hunting cooperation among the middle…

Populations and Evolution · Quantitative Biology 2020-07-01 Nishchal Sapkota , Rimsha Bhatta , Phillip Dabney , Zhifu Xie

We numerically investigate the six-species predator-prey game in complex networks as well as in $d$-dimensional hypercubic lattices with $d=1,2,..., 6$. The interaction topology of the six species contains two loops, each of which is…

Statistical Mechanics · Physics 2015-05-13 Sung-Guk Han , Su-Chan Park , Beom Jun Kim

The predator-prey dynamic appertaining to two species is explored, wherein the predator species is structured into different stages. As evidenced from natural documentation, the immature predators possess the potential to predate albeit not…

Dynamical Systems · Mathematics 2023-04-12 Debasish Bhattacharjee , Tapasvini Roy , Santanu Acharjee , Tarini Kumar Dutta

A machine learning method is proposed using two agents that simulate the biological behavior of a predator and a prey. In this method, the predator and the prey interact with each other - the predator chases the prey while the prey runs…

Neural and Evolutionary Computing · Computer Science 2025-09-16 I. A. Lopatin , S. V. Kozyrev , A. N. Pechen
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