Biomaterial Database

Analysis of a predator-prey system with predator switching. 2004

Q J A Khan, and E Balakrishnan, and G C Wake

Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, PO Box 36, Postal Code 123, Al-Khod, Oman.

In this paper, we consider an interaction of prey and predator species where prey species have the ability of group defence. Thresholds, equilibria and stabilities are determined for the system of ordinary differential equations. Taking carrying capacity as a bifurcation parameter, it is shown that a Hopf bifurcation can occur implying that if the carrying capacity is made sufficiently large by enrichment of the environment, the model predicts the eventual extinction of the predator providing strong support for the so-called 'paradox of enrichment'.

UI	MeSH Term	Description	Entries
D011235	Predatory Behavior	Instinctual behavior pattern in which food is obtained by killing and consuming other species.	Predation,Behavior, Predatory,Predatory Behaviors
D003247	Conservation of Natural Resources	The protection, preservation, restoration, and rational use of all resources in the total environment.	Carrying Capacity,Deforestation,Desertification,Environmental Protection,Natural Resources Conservation,Protection, Environmental,Capacities, Carrying,Capacity, Carrying,Carrying Capacities,Conservation, Natural Resources
D000818	Animals	Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA.	Animal,Metazoa,Animalia
D000835	Animals, Wild	Animals considered to be wild or feral or not adapted for domestic use. It does not include wild animals in zoos for which ANIMALS, ZOO is available.	Animals, Nondomestic,Animals, Nondomesticated,Animals, Feral,Stray Animals,Animal, Feral,Animal, Nondomestic,Animal, Nondomesticated,Animal, Stray,Animal, Wild,Animals, Stray,Feral Animal,Feral Animals,Nondomestic Animal,Nondomestic Animals,Nondomesticated Animal,Nondomesticated Animals,Stray Animal,Wild Animal,Wild Animals
D017753	Ecosystem	A functional system which includes the organisms of a natural community together with their environment. (McGraw Hill Dictionary of Scientific and Technical Terms, 4th ed)	Ecosystems,Biome,Ecologic System,Ecologic Systems,Ecological System,Habitat,Niche, Ecological,System, Ecological,Systems, Ecological,Biomes,Ecological Niche,Ecological Systems,Habitats,System, Ecologic,Systems, Ecologic