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Periodic solutions for a system of the first order nonautonomous differential equations

✍ Scribed by Hengsheng Tang; Zhengqiu Zhang; Zhicheng Wang; Manjun Ma

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
310 KB
Volume
60
Category
Article
ISSN
0898-1221

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✦ Synopsis

a b s t r a c t

In this paper, we rigorously show the existence of multiple positive periodic solutions for a system of the first order nonautonomous differential equations in the form of

The proof relies on some analytical techniques and coincidence degree theory. As an application, we study two classes of biological population models, both of which have at least four positive periodic solutions.

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