The effect of dispersal on single-species nonautonomous dispersal models with delays View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2001-05

AUTHORS

Zhidong Teng, Zhengyi Lu

ABSTRACT

In this paper, single-species nonautonomous dispersal models with delays are considered. An interesting result on the effect of dispersal for persistence and extinction is obtained. That is, if the species is persistent in a patch then it is also persistent in all other patches; if the species is permanent in a patch then it is also permanent in all other patches; if the species is extinct in a patch then it is also extinct in all other patches. Furthermore, some new sufficient conditions for the permanence and extinction of the species in a patch are established. The existence of positive periodic solutions is obtained in the periodic case by employing Teng and Chen's results on the existence of positive periodic solutions for functional differential equations. More... »

PAGES

439-454

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s002850000076

DOI

http://dx.doi.org/10.1007/s002850000076

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1040616693

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/11419619


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