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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.
A. Cañada, J. L. Gámez (1992)
Extracta Mathematicae
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In this work we present some of the main results obtained in [1], [2], [3], related to the existence of nonnegative and nontrivial solutions of nonlinear elliptic systems arising from population dynamics.
Wang, Chang-You, Wang, Shu, Yan, Xiang-Ping (2009)
Discrete Dynamics in Nature and Society
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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.
Hiromi Seno (2010)
Mathematical Modelling of Natural Phenomena
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With a reaction-diffusion system, we consider the dispersing two-species Lotka-Volterra model with a temporally periodic interruption of the interspecific competitive relationship. We assume that the competition coefficient becomes a given positive constant and zero by turns periodically in time. We investigate the condition for the coexistence of two competing species in space, especially in the bistable case for the population dynamics without dispersion. We could find that the...
Zhang, Lina, Fu, Shengmao (2011)
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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Sébastien Gaucel, Michel Langlais (2002)
RACSAM
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En esta nota se analizan dos modelos matemáticos deterministas planteados en problemas ecológicos causados por la introducción de nuevas especies en ambientes insulares heterogéneos. En el primero desarrollamos un modelo epidemológico con transmisión indirecta del virus por medio del ambiente. En el segundo se introduce un modelo específico de depredador-presa que exhibe la extinción en tiempo finito de las especies. Ambos modelos involucran sistemas de ecuaciones en derivadas parciales...
Ahammou, Abdelaziz (2001)
Journal of Applied Mathematics
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