Existence and global stability of periodic solution for impulsive predator-prey model with diffusion and distributed delay View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2010-06

AUTHORS

Zhong Zhao, Zuxiong Li, Lansun Chen

ABSTRACT

In this paper, the nonlinear nonautonomous predator-prey model with impulsive effect is considered. By using the method of coincidence degree theorem, a set of easily verifiable sufficient conditions are obtained for the existence of at least one strictly positive periodic solution, and by the means of a suitable Lyapunov function, the uniqueness and global attractivity of positive periodic solution are presented. An example shows the feasibility of our main results. More... »

PAGES

389-410

References to SciGraph publications

  • 1983-03. Persistence and extinction in single-species reaction-diffusion models in BULLETIN OF MATHEMATICAL BIOLOGY
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    http://scigraph.springernature.com/pub.10.1007/s12190-009-0292-z

    DOI

    http://dx.doi.org/10.1007/s12190-009-0292-z

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