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Nonlocality of Reaction-Diffusion Equations Induced by Delay: Biological Modeling and Nonlinear Dynamics

โœ Scribed by S. A. Gourley; J. W.-H. So; J. H. Wu

Book ID
111595793
Publisher
Springer US
Year
2004
Tongue
English
Weight
395 KB
Volume
124
Category
Article
ISSN
1573-8795

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Global convergence of a reactionโ€“diffusi
Global convergence of a reactionโ€“diffusion predatorโ€“prey model with stage structure and nonlocal delays
โœ Rui Xu; M.A.J. Chaplain; F.A. Davidson ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 989 KB

In this paper, a Lotka-Volterra type reaction-diffusion predator-prey model with stage structure for the prey and nonlocal delays due to gestation of the predator is investigated. In the case of a general domain, sufficient conditions are obtained for the global convergence of positive solutions of