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Analysis of a Nonautonomous Delayed Predator-Prey System with a Stage Structure for the Predator in a Polluted Environment

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  • G. P. Samanta

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 , . 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.

Suggested Citation

  • G. P. Samanta, 2010. "Analysis of a Nonautonomous Delayed Predator-Prey System with a Stage Structure for the Predator in a Polluted Environment," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-18, March.
    • Handle: RePEc:hin:jijmms:891812
    DOI: 10.1155/2010/891812
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