Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure.
Song, Xinyu, Ge, Zhihao, Wu, Jingang (2006)
International Journal of Mathematics and Mathematical Sciences
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Song, Xinyu, Ge, Zhihao, Wu, Jingang (2006)
International Journal of Mathematics and Mathematical Sciences
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Huo, Hai-Feng, Ma, Zhan-Ping, Liu, Chun-Ying (2009)
Abstract and Applied Analysis
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Narayan, K.L., Paparao, A.V. (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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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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El-Owaidy, Hassan M., Moniem, Ashraf A. (2003)
Applied Mathematics E-Notes [electronic only]
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Korobeinikov, A., Wake, G.C. (1999)
Journal of Applied Mathematics and Decision Sciences
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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.
Kumar, N.Phani, Pattabhiramacharyulu, N.Ch. (2010)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Zhang, Na, Chen, Fengde, Su, Qianqian, Wu, Ting (2011)
Discrete Dynamics in Nature and Society
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Samanta, G.P. (2010)
International Journal of Mathematics and Mathematical Sciences
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Baek, Hunki, Do, Younghae, Saito, Yasuhisa (2009)
Mathematical Problems in Engineering
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Julián López-Gómez, Rosa Pardo (1991)
Extracta Mathematicae
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We solve the problem of the existence and uniqueness of coexistence states for the classical predator-prey model of Lotka-Volterra with diffusion in the scalar case.