Four positive periodic solutions for the first order differential system

In this paper, we establish the existence of four positive periodic solutions for the first order differential system by using the continuation theorem of coincidence degree theory. When our result is applied to a competition Lotka–Volterra population model, we obtain the existence of four positive...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 332; no. 1; pp. 123 - 136
Main Authors Zhang, Zhengqiu, Tang, Hengsheng
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 01.08.2007
Elsevier
Subjects
Competition Lotka–Volterra model
Differential system
Exact sciences and technology
Four positive periodic solutions
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Operator theory
Ordinary differential equations
Sciences and techniques of general use
The continuation theorem of coincidence degree theory
Competition Lotka–Volterra model
The continuation theorem of coincidence degree theory
Four positive periodic solutions
Differential system
First order equation
Mathematical analysis
Positive solution
Periodic solution
Degree theory
Competition Lotka-Volterra model
Application
Lotka Volterra model
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Summary:In this paper, we establish the existence of four positive periodic solutions for the first order differential system by using the continuation theorem of coincidence degree theory. When our result is applied to a competition Lotka–Volterra population model, we obtain the existence of four positive periodic solutions for this model.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2006.09.071