Dynamical properties of a delay prey-predator model with disease in the prey species only.

Shi, Xiangyun; Zhou, Xueyong; Song, Xinyu

Displaying similar documents to “Dynamical properties of a delay prey-predator model with disease in the prey species only.”

The dynamic complexity of a Holling type-IV predator-prey system with stage structure and double delays.

Xue, Yakui, Duan, Xiafeng (2011)

Discrete Dynamics in Nature and Society

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Persistence and bifurcation analysis on a predator–prey system of holling type

Debasis Mukherjee (2003)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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We present a Gause type predator–prey model incorporating delay due to response of prey population growth to density and gestation. The functional response of predator is assumed to be of Holling type II. In absence of prey, predator has a density dependent death rate. Sufficient criterion for uniform persistence is derived. Conditions are found out for which system undergoes a Hopf–bifurcation.