Delay makes problems in population modelling
Smítalová, Kristína
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Displaying similar documents to “Practical persistence for differential delay models of population interactions.”
Delay makes problems in population modelling
Dynamics of a stage structure pest control model with impulsive effects at different fixed time.
Liu, Bing, Duan, Ying, Gao, Yinghui (2009)
Discrete Dynamics in Nature and Society
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Dynamical properties of a delay prey-predator model with disease in the prey species only.
Shi, Xiangyun, Zhou, Xueyong, Song, Xinyu (2010)
Discrete Dynamics in Nature and Society
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Analysis of a nonautonomous delayed predator-prey system with a stage structure for the predator in a polluted environment.
Samanta, G.P. (2010)
International Journal of Mathematics and Mathematical Sciences
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A class of competing models with discrete delay
Marín, Julio, Cavani, Mario
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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.