Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 2

Multiple positive periodic solutions Related Publications

2 Multiple Positive Periodic Solutions of a Delayed Predatory-Prey System with Holling Type II Functional Response

Authors: kaihong zhao, Jiuqing Liu

Abstract:

In this letter, we considers a delayed predatory-prey system with Holling type II functional response. Under some sufficient conditions, the existence of multiple positive periodic solutions is obtained by using Mawhin’s continuation theorem of coincidence degree theory. An example is given to illustrate the effectiveness of our results.

Keywords: coincidence degree, Multiple positive periodic solutions, Predatory-prey system, Holling type II functional response

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1181
1 Existence of Multiple Positive Periodic Solutions to n Species Nonautonomous Lotka-Volterra Cooperative Systems with Harvesting Terms

Authors: kaihong zhao

Abstract:

In this paper, the existence of 2n positive periodic solutions for n species non-autonomous Lotka-Volterra cooperative systems with harvesting terms is established by using Mawhin-s continuation theorem of coincidence degree theory and matrix inequality. An example is given to illustrate the effectiveness of our results.

Keywords: coincidence degree, Multiple positive periodic solutions, Nonautonomous Lotka-Volterra cooperative system, Harvesting term

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1003