Impact of species enrichment and fishing mortality in three species food chain models

作者: Prosenjit Paul , Bapan Ghosh , T.K. Kar

DOI: 10.1016/J.CNSNS.2015.05.014

关键词: EcologyTrophic state indexApex predatorFood chainPredatorBiomass (ecology)Fishing down the food webPredationBiologyTrophic level

摘要: Abstract In the present article, we consider two food chain models with three trophic levels: one is ‘prey–predator–top predator’ system where top-predator consumes only predator level and another ‘prey–predator–generalist generalist-predator (top level) both prey species. We examine impacts of different levels nutrient supply to bottom species (prey) in models. derive conditions when additional cannot bring top coexist systems if absent prior supply. Once are an supply, biomass reduces or even goes extinction due a massive amount also explore fishing mortality achieve maximum sustainable yield (MSY) from individual level. The most important conclusion that harvesting at MSY policy system.

参考文章(34)
Edward McCauley, Roger M. Nisbet, William W. Murdoch, Andre M. de Roos, William S. C. Gurney, Large-amplitude cycles of Daphnia and its algal prey in enriched environments Nature. ,vol. 402, pp. 653- 656 ,(1999) , 10.1038/45223
G. S. K. Wolkowicz, Bifurcation Analysis of a Predator-Prey System Involving Group Defence Siam Journal on Applied Mathematics. ,vol. 48, pp. 592- 606 ,(1988) , 10.1137/0148033
Matjaž Perc, Attila Szolnoki, György Szabó, Cyclical interactions with alliance-specific heterogeneous invasion rates. Physical Review E. ,vol. 75, pp. 052102- ,(2007) , 10.1103/PHYSREVE.75.052102
Robert M. May, John R. Beddington, Colin W. Clark, Sidney J. Holt, Richard M. Laws, Management of multispecies fisheries. Science. ,vol. 205, pp. 267- 277 ,(1979) , 10.1126/SCIENCE.205.4403.267
H FREEDMAN, G WOLKOWICZ, Predator-prey systems with group defence: The paradox of enrichment revisited Bulletin of Mathematical Biology. ,vol. 48, pp. 493- 508 ,(1986) , 10.1016/S0092-8240(86)90004-2
Sunčana Geček, Tarzan Legović, Impact of maximum sustainable yield on competitive community. Journal of Theoretical Biology. ,vol. 307, pp. 96- 103 ,(2012) , 10.1016/J.JTBI.2012.04.027
Matjaž Perc, Paolo Grigolini, Collective behavior and evolutionary games - An introduction Chaos Solitons & Fractals. ,vol. 56, pp. 1- 5 ,(2013) , 10.1016/J.CHAOS.2013.06.002
Alan Hastings, Thomas Powell, Chaos in a Three-Species Food Chain Ecology. ,vol. 72, pp. 896- 903 ,(1991) , 10.2307/1940591