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Periodic solutions for delay differential equations model of plankton allelopathy

โœ Scribed by Jin Zhen; Zhien Ma

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
595 KB
Volume
44
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In

this paper, we propose a modified delay differential equation model of the growth of two species of plankton having competitive and allelopathic effects on each other. By using the continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are obtained for the existence of positive periodic solutions for this model.

๐Ÿ“œ SIMILAR VOLUMES

Periodic solutions of higher-order delay
Periodic solutions of higher-order delay differential equations
โœ Yuji Liu; Pinghua Yang; Weigao Ge ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 219 KB

In this paper, we prove existence results for periodic solutions concerning the higher-order delay differential equations. Our method is based upon the coincidence degree theory of Mawhin. The results obtained are new. Examples are given to illustrate the main results.