Global existence and convergence of solutions to a cross-diffusion cubic predator-prey system with stage structure for the prey.
Cao, Huaihuo, Fu, Shengmao (2010)
Boundary Value Problems [electronic only]
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Cao, Huaihuo, Fu, Shengmao (2010)
Boundary Value Problems [electronic only]
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Song, Xinyu, Ge, Zhihao, Wu, Jingang (2006)
International Journal of Mathematics and Mathematical Sciences
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Zhang, Rui, Guo, Ling, Fu, Shengmao (2009)
Boundary Value Problems [electronic only]
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Bhattacharyya, Rakhi, Mukhopadhyay, Banibrata, Bandyopadhyay, Malay (2003)
International Journal of Mathematics and Mathematical Sciences
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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.
Angel Calsina, Carles Perelló, Joan Saldaña (1994)
Publicacions Matemàtiques
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In this paper we examine a predator-prey system with a characteristic of the predator subject to mutation. The ultimate equilibrium of the system is found by Maynard-Smith et al. by the so-called ESS (Evolutionary Stable Strategy). Using a system of reaction-diffusion equations with non local terms, we conclude that ESS result for the diffusion coefficient tending to zero, without resorting to any optimization criterion.
Jiao, Jianjun (2010)
Discrete Dynamics in Nature and Society
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Xue, Yakui, Duan, Xiafeng (2011)
Discrete Dynamics in Nature and Society
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Huo, Hai-Feng, Ma, Zhan-Ping, Liu, Chun-Ying (2009)
Abstract and Applied Analysis
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Khellaf, Wahiba, Hamri, Nasreddine (2010)
Differential Equations & Nonlinear Mechanics
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El-Owaidy, Hassan M., Moniem, Ashraf A. (2003)
Applied Mathematics E-Notes [electronic only]
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Aniţa, Sebastian, Tarniceriu, Carmen Oana (2007)
Abstract and Applied Analysis
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