Analysis of a Nonautonomous Delayed Predator-Prey System with a Stage Structure for the Predator in a Polluted Environment. (21st March 2010)

• Record Type: Journal Article
• Authors: Samanta, G. P.
• Other Names: Sidhu Harvinder S. Academic Editor.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 2010(2010)
• Publication Date: 2010-03-21
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/2010/891812
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : A two-species nonautonomous Lotka-Volterra type model with diffusional migration among the immature predator population, constant delay among the matured predators, and toxicant effect on the immature predators in a nonprotective patch is proposed. The scale of the protective zone among the immature predator population can be regulated through diffusive coefficients D i ( t ), i = 1, 2 . It is proved that this system is uniformly persistent (permanence) under appropriate conditions. Sufficient conditions are derived to confirm that if this system admits a positive periodic solution, then it is globally asymptotically stable.