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Stability and complexity in model ecosystems.
Robert M. May
- Vol. 6, pp 1-235
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The article was published on 1973-01-01 and is currently open access. It has received 5524 citations till now.read more
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Population dynamics of the badger (Meles meles) and the epidemiology of bovine tuberculosis (Mycobacterium bovis).
Roy M. Anderson,W. Trewhella +1 more
TL;DR: As a consequence of the requirement for continual and substantive suppression of badger abundance in areas of intensive cattle farming it is suggested that alternative methods of disease control should be actively sought with a view to the design of more effective long-term control policies.
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Varieties of mutualistic interaction in population models
TL;DR: Modification of the Lotka-Volterra model to give non-linear isoclines is necessary to obtain a minimum of biological realism; this modified model is illustrated with an analysis of a legume-Rhizobium mutualism.
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Self-organization of mobile populations in cyclic competition
TL;DR: This work theoretically investigates the influence of individuals' mobility on the spatial structures emerging in rock-paper-scissors games, and devise a quantitative approach to analyze the spatial patterns self-forming in the course of the stochastic time evolution.
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Regulation of predator-prey systems through spatial interactions:a possible solution to the paradox of enrichment.
TL;DR: In this article, the role of space in bounding overall population oscillations is analyzed in the simplest version of spatial predator-prey models: a two-patch model for a Lotka-Volterra system and a Rosenzweig-MacArthur system with logistic prey growth and Holling type II functional response of predator to prey density within each patch.
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Global stability in two species interactions.
TL;DR: It is proved that sufficient conditions for global stability in a Lotka-Volterra model of a two species interactions are sufficient and each species sustains density dependent mortalities due to intraspecific interactions.