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We develop a mathematical model of extinction and coexistence in a generic predator-prey ecosystem composed of two herbivores in asymmetrical competition and a hunter exerting a predatory pressure on both species. With the aim of…

适应与自组织系统 · 物理学 2017-08-28 Marcelo N Kuperman , Fabiana Laguna , Guillermo Abramson , Adrian Monjeau. Jose Luis Lanata

This paper investigates a dynamical predator-prey interaction model that incorporates: (a) hunting cooperation among predators; (b) Allee effect in prey. We show all possible boundary and interior solutions. In order to analyze the…

动力系统 · 数学 2019-12-03 Aaditya Kharel , Zhifu Xie , Huiqing Zhu , Michelle McCullum , Nick Burks

The study of interactions between multiple species in an ecosystem is an active and impactful direction of inquiry. This is true in particular for fragile systems in which even small perturbations of their functional parameters can produce…

种群与进化 · 定量生物学 2025-01-14 Anca Radulescu , Richard Halpern , Drew Kozlowski , Conor O'Riordan

We propose and investigate a discrete-time predator-prey system with cooperative hunting in the predator population. The model is constructed from the classical Nicholson-Bailey host-parasitoid system with density dependent growth rate. A…

动力系统 · 数学 2018-08-02 Yunshyong Chow , Sophia R. -J. Jang , Hua-Ming Wang

In this article, a Leslie-Gower Holling type III predator-prey model with disease in predator has been developed from both biological and mathematical point of view. The total population is divided into three classes, namely, prey,…

动力系统 · 数学 2017-06-29 Absos Ali Shaikh , Harekrishna Das , Nijamuddin Ali

We propose a novel predator-prey model that integrate two ecologically significant mechanisms: the Allee effect in the prey population and cooperative hunting behavior among predators. Building upon the Rosenzweig-MacArthur framework, our…

动力系统 · 数学 2026-01-19 Yujie Gao , Ton Viet Ta

Food webs with intraguild predation (IGP) are widespread in natural habitats. Their adaptation and resilience behaviour is principal for understanding restructuring of ecological communities. In spite of the importance of IGP food webs…

种群与进化 · 定量生物学 2012-04-16 E. Shchekinova , M. G. J. Löder , M. Boersma , K. H. Wiltshire

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…

Honest signals and cues have been observed as part of interspecific and intraspecific communication among animals. Recent theories suggest that existing signaling systems have evolved through natural selection imposed by predators. Honest…

种群与进化 · 定量生物学 2020-03-02 Ahd Mahmoud Al-Salman , Joseph Páez Chávez , Karunia Putra Wijaya

In this paper, we consider the dynamics of a predator-prey system of Gause type with cooperative hunting among predators and Holling III functional response. The known work numerically shows that the system exhibits saddle-node and Hopf…

动力系统 · 数学 2021-11-29 Yong Yao , Teng Song , Zuxiong Li

We consider a three-level food chain in which an epidemics affects the intermediate population. Two models are presented, respectively either allowing for unlimited food supply for the bottom prey, or instead assuming for it a logistic…

动力系统 · 数学 2014-04-07 Lorenzo Bramante , Simone Maiolo , Ezio Venturino

Switching model with one predator and two prey species is considered. The prey species have the ability of group defence. Therefore, the predator will be attracted towards that habitat where prey are less in number. The stability analysis…

生物物理 · 物理学 2015-06-26 Qamar J. A. Khan , Bal Swaroop Bhatt , R. P. Jaju

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…

概率论 · 数学 2024-07-01 Cristina Gutiérrez , Carmen Minuesa

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

Formation and competition of associations are studied in a six-species ecological model where each species has two predators and two prey. Each site of a square lattice is occupied by an individual belonging to one of the six species. The…

种群与进化 · 定量生物学 2008-08-26 G. Szabo , A. Szolnoki , I. Borsos

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…

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

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…

适应与自组织系统 · 物理学 2014-03-14 Yuxin Chen , Theodore Kolokolnikov

Nonlinear mathematical models introduce the relation between various physical and biological interactions present in nature. One of the most famous models is the Lotka-Volterra model which defined the interaction between predator and prey…

动力系统 · 数学 2024-12-25 Aneesh Panchal , Kirti Beniwal , Vivek Kumar

If one isolated species is supposed to evolve following the logistic mapping, then we are tempted to think that the dynamics of two species can be expressed by a coupled system of two discrete logistic equations. As three basic…

适应与自组织系统 · 物理学 2007-05-23 R. Lopez-Ruiz , D. Fournier-Prunaret

The networks of predator-prey interactions in ecological systems are remarkably complex, but nevertheless surprisingly stable in terms of long term persistence of the system as a whole. In order to understand the mechanism driving the…

种群与进化 · 定量生物学 2015-06-05 Korinna T. Allhoff , Daniel Ritterskamp , Björn C. Rall , Barbara Drossel , Christian Guill
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