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Sci Rep

Title:		Effects of time delay and space on herbivore dynamics: linking inducible defenses of plants to herbivore outbreak
Author(s):		Sun GQ; Wang SL; Ren Q; Jin Z; Wu YP;
Address:		"Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, P.R. China. School of Mathematical Sciences, Fudan University, Shanghai 200433, P.R. China. Department of Children's Medical Laboratory Diagnosis Center, Qilu Children's Hospital of Shandong University, Jinan 250022, P.R. China. College of Physics Science and Technology, Yangzhou University, Yangzhou, Jiangsu Province, 225002, P.R. China"
Journal Title:		Sci Rep
Year:		2015
Volume:		20150618
Issue:
Page Number:		11246 -
DOI:		10.1038/srep11246
ISSN/ISBN:		2045-2322 (Electronic) 2045-2322 (Linking)
Abstract:		"Empirical results indicate that inducible defenses of plants have effects on herbivore populations. However, little is known about how inducible defenses of plants have influences on herbivore outbreak when space effect is considered. To reveal the relationship between inducible defenses and herbivore outbreak, we present a mathematical model to describe the interaction of them. It was found that time delay plays dual effects in the persistence of herbivore populations: (i) large value of time delay may be associated with small density of herbivore populations, and thus causes the populations to run a higher risk of extinction; (ii) moderate value of time delay is beneficial for maintaining herbivore density in a determined range which may promote the persistence of herbivore populations. Additionally, we revealed that interaction of time delay and space promotes the growth of average density of herbivore populations during their outbreak period which implied that time delay may drive the resilience of herbivore populations. Our findings highlight the close relationship between inducible defenses of plants and herbivore outbreak"
Keywords:		"Algorithms Animals *Ecosystem Food Chain *Herbivory Models, Theoretical *Plants;"
Notes:		"MedlineSun, Gui-Quan Wang, Su-Lan Ren, Qian Jin, Zhen Wu, Yong-Ping eng Research Support, Non-U.S. Gov't England 2015/06/19 Sci Rep. 2015 Jun 18; 5:11246. doi: 10.1038/srep11246"