Results 261 to 270 of about 125,003 (280)
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PERIODIC MORTALITY EVENTS IN PREDATOR–PREY SYSTEMS
Ecology, 2000Many species experience periodic mortality events, often in the form of winter, yet there is little understanding of how periodic mortality may affect population dynamics. We investigate the effects of periodic mortality on the population dynamics of a predator and its prey, both of which have multiple generations between mortality events.
Anthony R. Ives +2 more
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Population Ecology, 1983
Summary Laboratory experiments on the interaction between phytophagous tetranychid mites and predacious phytoseiid mites in multi‐patch systems showed that it was difficult to obtain a continued interaction between them when prey heavily over‐exploit their host plants.
Akio Takafuji +2 more
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Summary Laboratory experiments on the interaction between phytophagous tetranychid mites and predacious phytoseiid mites in multi‐patch systems showed that it was difficult to obtain a continued interaction between them when prey heavily over‐exploit their host plants.
Akio Takafuji +2 more
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Stability of predator-prey system
1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. D. DRODZOV +2 more
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Red queen dynamics in specific predator–prey systems
Journal of Mathematical Biology, 2014The dynamics of a predator-prey system are studied, with a comparison of discrete and continuous strategy spaces. For a [Formula: see text] system, the average strategies used in the discrete and continuous case are shown to be the same. It is further shown that the inclusion of constant prey switching in the discrete case can have a stabilising effect
Harris, Terence, Cai, Anna Q.
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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.
Mougi, Akihiko, Iwasa, Yoh
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Evolutionary Instability in Predator-prey Systems
Journal of Theoretical Biology, 1993Abstract The dynamical stability properties of Lotka-Volterra equations have been used frequently to predict the persistence of predator-prey assemblages and trophic webs, yet they do not take into account evolutionary change. The incorporation of genetic variation into a stable food web will make it less stable in many cases.
Paul Marrow, Chris Cannings
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Multiparameter Bifurcation of a Predator-Prey System
SIAM Journal on Mathematical Analysis, 1992For a two-dimensional predator-prey system, proposed by \textit{A. D. Bazykin} [see ``Structural and dynamic stability of model predator-prey systems'' (1976; Zbl 0357.92024)] and depending on several parameters, a complete local bifurcation analysis with respect to all parameters is achieved.
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Chaotic behaviour of a predator-prey system.
Dynamics of Continuous, Discrete and Impulsive Systems Series B. Applications and Algorithms., 2003Generally a predator-prey system is modelled by two ordinary differential equations which describe the rate of changes of the biomasses. Since such a system is two-dimensional no chaotic behaviour can occur. In the popular Rosenzweig-MacArthur model, which replaced the Lotka-Volterra model, a stable equilibrium or a stable limit cycle exist.
Kooi, B.W., Boer, M.P.
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On a Kind of Predator-Prey System
SIAM Journal on Mathematical Analysis, 1989Summary: In this paper a kind of predator-prey system given by \textit{S. B. Hsu}, \textit{S. P. Hubbel} and \textit{P. Waltman} [SIAM J. Appl. Math. 35, 617-625 (1978; Zbl 0394.92025)] is considered. Utilizing the theory of ordinary differential equations, two theorems for a general predator-prey system are proved, completing the investigation of the ...
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The Stability of Predator‐Prey Systems
Ecology, 1973The interactions between a predator and prey species have been analyzed by computer simulation of a model in which there are discrete breeding seasons, separated by a winter during which the predator must be able to find prey at a certain minimum rate or starve. The model is intended to represent a warm—blooded vertebrate predator and its prey.
J. Maynard Smith, M. Slatkin
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