Global properties of the three-dimensional predator-prey Lotka-Volterra systems.
Korobeinikov, A., Wake, G.C. (1999)
Journal of Applied Mathematics and Decision Sciences
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Korobeinikov, A., Wake, G.C. (1999)
Journal of Applied Mathematics and Decision Sciences
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Ackleh, Azmy S., Marshall, David F., Heatherly, Henry E. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Dimitrov, Dobromir T., Kojouharov, Hristo V. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Janusz Szwabiński, Andrzej Pękalski, Kamil Trojan (2008)
Banach Center Publications
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A model which consists of a predator and two prey species is presented. The prey compete for the same limited resource (food). The predator preys on both prey species but with different severity. We show that the coexistence of all three species is possible in a mean-field approach, whereas from Monte Carlo simulation it follows that the stochastic fluctuations drive one of the prey populations into extinction.
Huo, Hai-Feng, Ma, Zhan-Ping, Liu, Chun-Ying (2009)
Abstract and Applied Analysis
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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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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.
Narayan, K.L., Paparao, A.V. (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Huang, Xuming, Kong, Xiangzeng, Yang, Wensheng (2009)
Abstract and Applied Analysis
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Sanyi Tang, Lansun Chen (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We analyze a two species discrete predator-prey model in which the prey disperses between two patches of a heterogeneous environment with barriers and the mature predator disperses between the patches with no barrier. By using the discrete dynamical system generated by a monotone, concave maps for subcommunity of prey, we obtain the subcommunity of prey exists an equilibrium which attracts all positive solutions, and using the stability trichotomy results on the monotone and continuous...
Tapan Kumar Kar (2005)
Applicationes Mathematicae
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The dynamics of a prey-predator system, where predator has two stages, a juvenile stage and a mature stage, is modelled by a system of three ordinary differential equations. Stability and permanence of the system are discussed. Furthermore, we consider the harvesting of prey species and obtain the maximum sustainable yield and the optimal harvesting policy.
Zhang, Na, Chen, Fengde, Su, Qianqian, Wu, Ting (2011)
Discrete Dynamics in Nature and Society
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