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Breeding Suppression and Predator-Prey Dynamics [PDF]
Ecology, 2000 In a biotic environment, current reproduction will affect future population sizes, but these future changes may also affect the optimality of current reproductive decisions. We investigate the dynamics of predator–prey cycles if both predators and prey respond to each other’s (and their own) population density by adjusting their breeding effort.
Hanna Kokko +2 more
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, 2002 Historically, many of the models of the natural world, both marine and terrestrial, have involved only a single species, conceptually separating the species of interest from its environment. In fact, species are in continuous contact with other organisms and their physical environment.
Matthias Ruth, James Lindholm
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The Dynamics of Arthropod Predator-Prey Systems
The Journal of Parasitology, 1979In this study of arthropod predador-prey systems Michael Hassell shows how many of the components of predation may be simply modeled in order to reveal their effects on the overall dynamics of the interacting populations. Arthropods, particularly insects, make ideal subjects for such a study because their generation times are characteristically short ...
Armand M. Kuris, Michael P. Hassell
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Size and scaling of predator–prey dynamics
Ecology Letters, 2006AbstractWe propose a scaled version of the Rosenzweig–MacArthur model using both Type I and Type II functional responses that incorporates the size dependence of interaction rates. Our aim is to link the energetic needs of organisms with the dynamics of interacting populations, for which survival is a result of a game‐theoretic struggle for existence ...
Joshua S. Weitz, Simon A. Levin
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Dynamics of a Predator-Prey Model
SIAM Journal on Applied Mathematics, 1999We describe the bifurcation diagram of limit cycles that appear in the first realistic quadrant of the predator-prey model proposed by R. M. May [ Stability and Complexity in Model Ecosystems, Princeton University Press, Princeton, NJ, 1974]. In particular, we give a qualitative description of the bifurcation curve when two limit cycles collapse on a ...
Eduardo González-Olivares +1 more
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Spatiotemporal dynamics of a predator–prey model [PDF]
Nonlinear Dynamics, 2011 Spatial component of ecological interactions has been identified as an important factor in how ecological communities are shaped. In this paper, we consider a Holling–Tanner model with spatial diffusion. Choosing appropriate parameter values in parameter spaces, we obtain rich patterns, including spotted, black-eye, and labyrinthine patterns.
Pan-Ping Liu, Yong Xue
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DYNAMICS OF MODIFIED PREDATOR-PREY MODELS
International Journal of Bifurcation and Chaos, 2010Besides being structurally unstable, the Lotka–Volterra predator-prey model has another shortcoming due to the invalidity of the principle of mass action when the populations are very small. This leads to extremely large populations recovering from unrealistically small ones.
Peter E. Kloeden, Christian Pötzsche
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Predator‐prey dynamics in an ecosystem context
Journal of Fish Biology, 1994Evaluating the role of fishes at the food web and ecosystem scales profits from an iterative process. At the community and population scales, prey selection by predators alters habitat selection behaviours of prey species as well as their abundance, size distributions, life histories and the consequent effects on their own prey.
Daniel E. Schindler +4 more
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Dynamics of competing predator–prey species
Physica A: Statistical Mechanics and its Applications, 1998Abstract We study the predator–prey model described by the Lotka–Volterra equations (N.S. Goel et al., Rev. Mod. Phys. 43 (1971) 231). These coupled non-linear differential equations are solved numerically and compared with Monte Carlo simulations. Spectral analysis of the data indicate the presence of a fixed set of frequencies and the absence of ...
A.T. Bradshaw, L.L. Moseley
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