Results 71 to 80 of about 340,792 (220)
AIMS Mathematics, 2020 This paper deals with a Gause-type predator-prey model with Allee effect and Holling type III functional response. We also consider the influence of predator competition and the artificial harvesting on predator-prey system.
Shanshan Yu, Jiang Liu, Xiaojie Lin
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The architecture of predator-prey and the relationship between complexity and stability [PDF]
, 2010 Theoretical studies predict that the stability of an ecosystem is negatively correlated with its complexity, measured by the number of interacting species. On the other hand, empirical evidence indicates that food webs are highly interconnected.
Chrystian Paixao +4 more
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Dynamics for a Ratio-Dependent Prey–Predator Model with Different Free Boundaries
MathematicsIn this paper, we study the dynamics of the ratio-dependent type prey–predator model with different free boundaries. The two free boundaries, determined by prey and predator, respectively, implying that they may intersect with each other as time evolves,
Lingyu Liu, Xiaobo Li, Pengcheng Li
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Environmental vs demographic variability in stochastic predator-prey models
, 2013 In contrast to the neutral population cycles of the deterministic mean-field Lotka--Volterra rate equations, including spatial structure and stochastic noise in models for predator-prey interactions yields complex spatio-temporal structures associated ...
Dobramysl, Ulrich, Tauber, Uwe C.
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Self-organizing patterns maintained by competing associations in a six-species predator-prey model
, 2008 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.
Attila Szolnoki +4 more
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Dynamics and pattern formation in diffusive predator-prey models with predator-axis
Electronic Journal of Differential Equations, 2020 We consider a three-species predator-prey system in which the predator has a stage structure and the prey moves to avoid the mature predator, which is called the predator-taxis.
Zhongyuan Sun, Jinfeng Wang
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Mathematical Biosciences and Engineering, 2006 We model the effects of both stochastic and deterministic temperature variations on arthropod predator-prey systems. Specifically, we study the stochastic dynamics of arthropod predator-prey interactions under a varying temperature regime, and we develop
William Wolesensky, J. David Logan
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Cascade of Complexity in Evolving Predator-Prey Dynamics
, 2007 We simulate an individual-based model that represents both the phenotype and genome of digital organisms with predator-prey interactions. We show how open-ended growth of complexity arises from the invariance of genetic evolution operators with respect ...
A. N. Kolmogorov +13 more
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F1000Research, 2013 Heterogeneity among prey in their susceptibility to predation is a potentially important stabilizer of predator-prey interactions, reducing the magnitude of population oscillations and enhancing total prey population abundance.
Christopher F Steiner, Jordan Masse
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Quasi-cycles in a spatial predator-prey model
, 2008 We show that spatial models of simple predator-prey interactions predict that predator and prey numbers oscillate in time and space. These oscillations are not seen in the deterministic versions of the models, but are due to stochastic fluctuations about
Lugo, Carlos A., McKane, Alan J.
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