Displaying similar documents to “The role of delay in digestion of plankton by fish population: A fishery model.”

Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes

Yanling Tian (2014)

Applications of Mathematics

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A diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes is considered. Local stability for each constant steady state is studied by analyzing the eigenvalues. Some simple and easily verifiable sufficient conditions for global stability are obtained by virtue of the stability of the related FDE and some monotonous iterative sequences. Numerical simulations and reasonable biological explanations are carried out to illustrate the main results and the...

Convergence analysis for asymmetric Deffuant-Weisbuch model

Jiangbo Zhang (2014)

Kybernetika

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In this paper, we investigate the convergence behavior of the asymmetric Deffuant-Weisbuch (DW) models during the opinion evolution. Based on the convergence of the asymmetric DW model that generalizes the conventional DW model, we first propose a new concept, the separation time, to study the transient behavior during the DW model's opinion evolution. Then we provide an upper bound of the expected separation time with the help of stochastic analysis. Finally, we show relations of the...

Oscillation of a logistic equation with delay and diffusion

Sheng Li Xie, Sui Sun Cheng (1995)

Annales Polonici Mathematici

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This paper establishes oscillation theorems for a class of functional parabolic equations which arises from logistic population models with delays and diffusion.