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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Shi, Xiangyun, Zhou, Xueyong, Song, Xinyu (2010)
Discrete Dynamics in Nature and Society
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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.
Huo, Hai-Feng, Ma, Zhan-Ping, Liu, Chun-Ying (2009)
Abstract and Applied Analysis
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Zhang, Na, Chen, Fengde, Su, Qianqian, Wu, Ting (2011)
Discrete Dynamics in Nature and Society
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Cai, Liming, Li, Xuezhi, Song, Xinyu, Yu, Jingyuan (2007)
Discrete Dynamics in Nature and Society
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Narayan, K.L., Ramacharyulu, N.CH.P. (2008)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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