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Dynamic of a stochastic predator–prey population
Applied Mathematics and Computation, 2011Abstract A stochastic predator–prey model is studied. Firstly, we prove the existence, uniqueness and positivity of the solution. Then, we show the upper bounds for moments and growth rate of population. In some cases, the growth rate is negative and the population dies out rapidly. The paper ends with some reviews for the paper [13] .
Atsushi Yagi, Ta Viet Ton, Ta Viet Ton
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Group formation stabilizes predator–prey dynamics
Nature, 2007Theoretical ecology is largely founded on the principle of mass action, in which uncoordinated populations of predators and prey move in a random and well-mixed fashion across a featureless landscape. The conceptual core of this body of theory is the functional response, predicting the rate of prey consumption by individual predators as a function of ...
Craig Packer+3 more
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Unique coevolutionary dynamics in a predator–prey system
Journal of Theoretical Biology, 2011In this paper, we study the predator-prey coevolutionary dynamics when a prey's defense and a predator's offense change in an adaptive manner, either by genetic evolution or phenotypic plasticity, or by behavioral choice. Results are: (1) The coevolutionary dynamics are more likely to be stable if the predator adapts faster than the prey.
Akihiko Mougi, Yoh Iwasa
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On models for the dynamics of predator-prey interaction
2007A brief account of attempts at modelling the dynamics of predator-prey systems is presented. The original deterministic Lotka-Volterra model is not biologically realistic. Later workers have attempted to modify the basic features of that model to include biologically relevant parameters and to introduce the stochastic aspect into the computations ...
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Habitat selection and predator-prey dynamics
Trends in Ecology & Evolution, 1992Stephen D. Fretwell+2 more
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Phonon–Ion Interactions: Designing Ion Mobility Based on Lattice Dynamics
Advanced Energy Materials, 2021Sokseiha Muy+2 more
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The Dynamics of Arthropod Predator-Prey Systems
The Journal of Animal Ecology, 1980David Rogers, Michael P. Hassell
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Ab Initio Nonadiabatic Quantum Molecular Dynamics
Chemical Reviews, 2018Basile F E Curchod, Todd J Martínez
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Moisture‐Responsive Wrinkling Surfaces with Tunable Dynamics
Advanced Materials, 2017Songshan Zeng+2 more
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