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The impact of environmental toxins on predator–prey dynamics [PDF]
Predators and prey may be simultaneously exposed to environmental toxins, but one may be more susceptible than the other. To study the effects of environmental toxins on food web dynamics, we develop a toxin-dependent predator-prey model that combines both direct and indirect toxic effects on two trophic levels.
Hao Wang, Mark A. Lewis, Qihua Huang
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Optimal Foraging and Predator–Prey Dynamics
Theoretical Population Biology, 1996A system consisting of a population of predators and two types of prey is considered. The dynamics of the system is described by differential equations with controls. The controls model how predators forage on each of the two types of prey. The choice of these controls is based on the standard assumption in the theory of optimal foraging which requires
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Dynamics of Predator–Prey Metapopulations with Allee Effects
Bulletin of Mathematical Biology, 2016Allee effects increasingly are recognized as influential determinants of population dynamics, especially in disturbed landscapes. We developed a predator-prey metapopulation model to study the impact of an Allee effect on predator-prey. The model incorporates habitat destruction and predators with imperfect information about prey distribution. Criteria
Zhilan Feng+3 more
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Predator‐Prey Dynamics and Movement in Fractal Environments
The American Naturalist, 2002Previous research suggests that local interactions and limited animal mobility can affect population dynamics. However, the spatial structure of the environment can further limit the mobility of animals. For example, an animal confined to a river valley or to a particular plant cannot move with equal ease in all directions.
Peter Yodzis, Kim Cuddington
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Dynamics of a predator-prey system with pulses
Applied Mathematics and Computation, 2008In this paper, we investigate the dynamic behaviors of a Holling II two-prey one-predator system with impulsive effect concerning biological control and chemical control strategy-periodic releasing natural enemies and spraying pesticide at different fixed moment.
Xinyu Song, Yongfeng Li, Jingan Cui
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COEVOLUTIONARY DYNAMICS OF PREDATOR-PREY INTERACTIONS
International Journal of Biomathematics, 2012In this paper, with the method of adaptive dynamics, we investigate the coevolution of phenotypic traits of predator and prey species. The evolutionary model is constructed from a deterministic approximation of the underlying stochastic ecological processes. Firstly, we investigate the ecological and evolutionary conditions that allow for continuously
Jinliang Wang+2 more
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Herbivore-Algae Predator–Prey Dynamics
2014A predator (herbivore) preys upon another species (algae). Can we express the dynamics of such an interaction? Can we find the period of the cycle of interaction? Upon what does this period most sensitively depend? This model has many analogies: the fox and hare, the lynx and rabbit, and even Garret Hardin’s classical Tragedy of the Commons.
Bruce Hannon, Matthias Ruth
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On the dynamics of Tschirhart’s predator–prey model
Ecological Modelling, 2006Abstract In a series of recent publications Tschirhart constructed a dynamic multi-species model based on a novel general equilibrium model of the ecosystem. With that approach he and Finnoff carried out numerical simulations of rather complex dynamic food webs.
Thomas Eichner+2 more
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On the Dynamics of a Discrete Predator–Prey Model
2018We here discretize a predator–prey model by standard Euler forward method and non-standard finite difference method and then compare their dynamic properties with the corresponding continuous-time model. We show that NSFD model preserves positivity of solutions and is completely consistent with the dynamics of the corresponding continuous-time model ...
Nandadulal Bairagi+2 more
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Diet choice and predator?prey dynamics
Evolutionary Ecology, 1994We compare the dynamics of predator-prey systems with specialist predators or adaptive generalist predators that base diet choice on energy-maximizing criteria. Adaptive predator behaviour leads to functional responses that are influenced by the relative abundance of alternate prey. This results in the per capita predation risk being positively density-
Per Lundberg, John M. Fryxell
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